solve the nonlinear system of equations. State the number of solutions.

Solve The Nonlinear System Of Equations. State The Number Of Solutions.

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   [tex]x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }[/tex]

There is 1 solution.

Question 16

Again, we search x such that:

  [tex]x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }[/tex]There are two solutions.

 

Hope this helps.

Do not hesitate if you need further explanation.

Thank you


Related Questions

Need help finding the length

Answers

Answer:

27

Step-by-step explanation:

First, we need to find x. We are given the perimeter, which is 2l + 2w, so from there, we have an equation of 2(4x-1) + 2(3x+2) = 100. By working through it, we get that x = 7. We're asked to find WX, so plug 7 into 4x - 1 and get 27.

Answer:

27 units

Step-by-step explanation:

Perimeter of rectangle is 2(l) + 2(w).

The perimeter is given 100 units.

2(4x-1) + 2(3x+2) = 100

Solve for x.

8x-2+6x+4=100

14x+2=100

14x=98

x=7

Plug x as 7 for the side WX.

4(7) - 1

28-1

= 27

24=3(n-5) solve for n

Answers

Answer:

n = 13

Step-by-step explanation:

24 = 3 (n-5)

3n  - 15 = 24

3n = 24 +15

3n = 39

n = 39/3

n = 13

Answer:

[tex]\boxed{\sf n=13}[/tex]

Step-by-step explanation:

[tex]\sf 24=3(n-5)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]\sf 24=3n-15[/tex]

[tex]\sf Add \ 15 \ to \ both \ sides.[/tex]

[tex]\sf 24+15=3n-15+15[/tex]

[tex]\sf 39=3n[/tex]

[tex]\sf Divide \ both \ sides \ by \ 3.[/tex]

[tex]\sf \frac{39}{3} =\frac{3n}{3}[/tex]

[tex]\sf 13=n[/tex]

BRAINLIEST ANSWER GIVEN Without actually solving the​ problem, choose the correct solution by deciding which choice satisfies the given conditions. The length of a rectangle is 2 feet longer than the width. The perimeter is 20 feet. Find the dimensions of the rectangle. Length= ?; width=?

Answers

Answer:

length = 6 feetwidth = 4 feet

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where l is the length

w is the width

The length of the rectangle is 2 feet longer than the width is written as

l = 2 + w

Perimeter = 20feet

So we have

20 = 2( 2 + w ) + 2w

20 = 4 + 2w + 2w

4w = 16

Divide both sides by 4

w = 4

Substitute w = 4 into l = 2 + w

That's

l = 2 + 4

l = 6

length = 6 feetwidth = 4 feet

Hope this helps you

Answer:

w = 4 and L = 10

Step-by-step explanation:

perimeter of a rectangle = 2(l+w)

p = 20

L = 2 + w

w = ?

20 = 2(2 + w + w)

20 = 2(2 + 2w)

20/2 = 2 + 2w

10 = 2 + 2w

10 - 2 = 2w

8 = 2w

w = 8/2 = 4

L = w + 2

L = 4 +2 = 6

w = 4 and L = 10

A random sample of 61 Foreign Language movies made in the last 10 years has a mean length of 135.7 minutes with a standard deviation of 13.7 minutes. Construct a 95% confidence interval.

Answers

Answer:

95% confidensce interval of the mean (two-tail) =  [132.2, 139.2]

Step-by-step explanation:

Given:

N = size of sample = 61

m = sample mean = 135.7

s = sample standard deviation 13.7

Need 95% confidence interval

Solution.

alpha (95% confidence interval) = 0.05

(1-alpha/2) = 0.975   [two sided]

Equation for confidence interval of the mean

= m +/- t(1-alpha/2,N-1) * s / sqrt(N)

= 135.7 +/- 2.0003 * 13.7 / sqrt(60)

= [132.16, 139.24]

simplify (3+3 / x(x+1) )(x-3 / x(x-1) )

Answers

Answer:

I think it is [tex]\frac{6x-18}{x^{4} }[/tex]

Step-by-step explanation:

You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you want to determine whether or not the mean of the population from which this sample was taken is significantly less than 21. (Assume the population is normally distributed.) a) State the null and the alternative hypotheses. b) Compute the standard error of the mean. c) Determine the test statistic. d) Test to determine whether or not the mean of the population is significantly less than 21.

Answers

Answer:

a

  The null hypothesis is  

         [tex]H_o : \mu = 21[/tex]

The Alternative  hypothesis is  

           [tex]H_a : \mu< 21[/tex]

b

     [tex]\sigma_{\= x} = 0.8944[/tex]

c

   [tex]t = -2.236[/tex]

d

  Yes the  mean population is  significantly less than 21.

Step-by-step explanation:

From the question we are given

           a set of  data  

                               20  18  17  22  18

       The confidence level is 90%

       The  sample  size  is  n =  5  

Generally the mean of the sample  is  mathematically evaluated as

        [tex]\= x = \frac{20 + 18 + 17 + 22 + 18}{5}[/tex]

       [tex]\= x = 19[/tex]

The standard deviation is evaluated as

        [tex]\sigma = \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }[/tex]

         [tex]\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }[/tex]

         [tex]\sigma = 2[/tex]

Now the confidence level is given as  90 %  hence the level of significance can be evaluated as

         [tex]\alpha = 100 - 90[/tex]

        [tex]\alpha = 10[/tex]%

         [tex]\alpha =0.10[/tex]

Now the null hypothesis is  

         [tex]H_o : \mu = 21[/tex]

the Alternative  hypothesis is  

           [tex]H_a : \mu< 21[/tex]

The  standard error of mean is mathematically evaluated as

         [tex]\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }[/tex]

substituting values

         [tex]\sigma_{\= x} = \frac{2}{ \sqrt{5 } }[/tex]

        [tex]\sigma_{\= x} = 0.8944[/tex]

The test statistic is  evaluated as  

              [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

              [tex]t = \frac{ 19 - 21 }{ 0.8944 }[/tex]

              [tex]t = -2.236[/tex]

The  critical value of the level of significance is  obtained from the critical value table for z values as  

                   [tex]z_{0.10} = 1.28[/tex]

Looking at the obtained value we see that [tex]z_{0.10}[/tex] is greater than the test statistics value so the null hypothesis is rejected

An unbiased coin is tossed 14 times. In how many ways can the coin land tails either exactly 9 times or exactly 3 times?

Answers

Answer

[tex]P= 0.144[/tex] ways

the coin can land tails either exactly 8 times or exactly 5 times in

[tex]0.144[/tex] ways

Step by step explanation:

THis is a binomial distribution

Binomial distribution gives summary of the number of trials as well as observations as each trial has the same probability of attaining one particular value.

P(9)=(14,9).(0.5)⁹.(0.5)¹⁴⁻⁹

p(3)=(14,3).(0.5)⁹.(0.5)¹⁴⁻³

p=(9)+p(3)

p=C(14,9)(0.5)¹⁴ + C(14,3). (0.5)¹⁴

P= (0.5)¹⁴ [C(14,9) + C(14,3)]

P= (0.5)¹⁴ [2002 * 364]

P= 1/16384 * (2002 +364)

P= 91091/2048

P= 0.144

Hence,the coin can land tails either exactly 8 times or exactly 5 times in

[tex] 0.144[/tex] ways

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps

Answers

Answer:

123 domestic stamps

89 foreign stamps

Step-by-step explanation:

Answer:

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

Which equation represents the total number of stamps Malik collected?  

✔ x + y = 212

Which equation represents the difference in the number of foreign and domestic stamps Malik collected?  

✔ x – y = 34

Which system of linear equations represents the situation?  

✔ x – y = 34 and x + y = 212

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

This system of equations models the given information for both stamp types.

x – y = 34

x + y = 212

Solve the system of equations.  

How many foreign stamps does Malik have?

✔ 89  foreign stamps

 

How many domestic stamps does Malik have?

✔ 123 domestic stamps

Step-by-step explanation:

its right on 2021 edge! :) hope this helps

Samantha has 5 granola bars. She wants to give 1/3 of a granola bar to each friend. Which expression can she use to find the number of friends to whom she can give granola bars?

Answers

Answer:

5/(1/3)

Step-by-step explanation:

She has 5 granola bars and gives 1/3 of one to each of her friends. To find how many friends she can give it to, divide 5 by 1/3. You would get a total of 15 friends that you can give granola bars to. The question is asking for an expression so the expression would be 5/(1/3) or 5*3

Answer:

1/3 x = 5

x=15

Step-by-step explanation:

You’re multiplying 1/3 times the number of friends (x), and then multiplying both sides by the reciprocal to solve for x

find the values of x and y that make k ll j and m ll n

Answers

Answer:

x = 80

y = 130

Step-by-step explanation:

The 2 angles are supplementary. so, x-30 + x+50 = 180.

We solve and get 2x = 180-20

x = 80

y = x+50, because of parallel rules.

y = 130

Answer:

x = 80

y = 130

Step-by-step explanation:edge 2020

(25 points) PLEASE HELP, I gotta get this done or my mom will beat the hell out of me

Solve

x + y = 2

4y = -4x + 8

by elimination (not Gaussian!)

Thanks!
(also, please show work!)

Answers

Answer:

x=1

y=1

Step-by-step explanation:

Please look at the image below for solutions⬇️

Answer:

Step-by-step explanation:

Add the equations in order to solve for the first variable . Plug this value into the equations in order to solve for the remaining variables.

Point form

(x, 2-x)

Write 3 expressions containing exponents so that each expression equals 81

Answers

Answer:

9x9= 81

3x3x3x3=81

81 to the first power.

Step-by-step explanation:

I hope this helps in any way:)

Of the cartons produced by a​ company, ​% have a​ puncture, ​% have a smashed​ corner, and ​% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing​%. ​(Type an integer or a decimal. Do not​ round.)

Answers

Full Question

Of the cartons produced by a​ company, 10​% have a​ puncture, 6​% have a smashed​ corner, and 0.4​% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing​ ____%. ​(Type an integer or a decimal. Do not​ round.)

Answer:

[tex]P(Punctured\ or\ Smashed\ Corner) = 0.156[/tex]

Step-by-step explanation:

Given

[tex]Puncture\ Corner = 10\%[/tex]

[tex]Smashed\ Corner = 6\%[/tex]

[tex]Punctured\ and\ Smashed\ Corner = 0.4\%[/tex]

Required

[tex]P(Punctured\ or\ Smashed\ Corner)[/tex]

For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;

[tex]P(Punctured\ or\ Smashed\ Corner) = P(Punctured\ Corner) + P(Smashed\ Corner) - P(Punctured\ and\ Smashed\ Corner)[/tex]

Substitute:

10% for P(Puncture Corner),

6% for P(Smashed Corner) and

0.4% for P(Punctured and Smashed Corner)

[tex]P(Punctured\ or\ Smashed\ Corner) = 10\% + 6\% - 0.4\%[/tex]

[tex]P(Punctured\ or\ Smashed\ Corner) = 15.6\%[/tex]

Convert % to fraction

[tex]P(Punctured\ or\ Smashed\ Corner) = \frac{15.6}{100}[/tex]

Convert to decimal

[tex]P(Punctured\ or\ Smashed\ Corner) = 0.156[/tex]

Using Venn probabilities, it is found that:

The probability that a randomly selected carton has a puncture or a smashed corner is 15.6%.

In this problem, the events are:

Event A: Puncture.Event B: Smashed corner.

The "or" probability is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

10% have a​ puncture, hence [tex]P(A) = 0.1[/tex]6% have a smashed​ corner, hence [tex]P(B) = 0.06[/tex].0.4% have both a puncture and a smashed corner, hence [tex]P(A \cup B) = 0.004[/tex].

Then:

[tex]P(A \cup B) = 0.1 + 0.06 - 0.004 = 0.156[/tex]

The probability that a randomly selected carton has a puncture or a smashed corner is 15.6%.

To learn more about Venn probabilities, you can check https://brainly.com/question/25698611

what is the value of this expression when a = 2 and b = -3 ? a^3 - b^3 / 5

Answers

Answer:

13 2/5

Step-by-step explanation:

a = 2 and b = -3

so the question asks whats.... a^3 - b^3/5

First we plug in the values of a and b

(2)^3 - (-3)^3 /5

Now we solve the ones in paranthesis first

(2)^3 = 8 because 2×2×2 and

-(-3)^3 forget about the - outside the parenthesis so

(-3)^3 = (-27) because (-3)×(-3)×(-3)

now we put it back together

8 -(-27)/5

the two minus become plus so

8 + 27/5

Now we solve it like fractions

8 and 27/5

simplify

13 and 2/5

Hope that helps!

An anchor lowered at a constant rate into the ocean takes 5 seconds to move -17.5 meters. What is the rate of the anchor in meters per second?

Answers

Answer:

-3.5 meters per second

Step-by-step explanation:

Take the distance and divide by the time

-17.5 meters/ 5 seconds

-3.5 meters per second

Answer:

-3.5 m/s

Step-by-step explanation:

Rate of the anchor =  [tex]\frac{distance}{time}[/tex]

[tex]\frac{-17.5}{5}[/tex]

-3.5 meters per second.

Find the sum of 1342, -295, -456,89.

Answers

Answer:

680

Step-by-step explanation:

add 1342+89 to get 1431

then add -295+-456 to get -751

then subtract 751 from 1431 to get 680

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

explain square roots

Answers

In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16.

Answer:A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Example: √36 = 6 (because 6 x 6 = 36)

Olivia, a golfer, claims that her drive distance is more than 174 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 10% significance level, to persuade them. She hits 15 drives. The mean distance of the sample drives is 188 meters. Olivia knows from experience that the standard deviation for her drive distance is 14 meters. H0: μ=174; Ha: μ>174 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Answers

Answer:

3.87

Step-by-step explanation:

The computation is shown below:

Data provided in the question

mean distance = [tex]\bar x[/tex] = 188 meters

Standard deviaton = [tex]\sigma = 14[/tex]

Hits drivers = 15

The distance = 174 meters

H_0: μ≤174;

H_a: μ>174

Based  on the above information, the test statistic z-score is

[tex]z = \frac{\bar x - \mu }{\sigma / \sqrt{n} } \\\\ = \frac{188 - 174}{\ 14 / \sqrt{15} }[/tex]

= 3.87

Hence, the test statistic is 3.87

Note:

We take the μ≤174 instead of μ=174;

One number is 2 more than another. The difference between their squares is 52. What are the numbers?

Answers

The numbers are 12 and 14.

Answer:

The aprox, numbers:

4.1633   and    8.3266

Step-by-step explanation:

a = 2b

a² - b² = 52

then:

(2b)² - b² = 52

4b² - b² = 52

3b² = 52

b² = 52/3

b² = 17.333

√b² = √17.333

b = 4.1633        aprox.

a = 2b

a = 2*4.1633

a = 8.3266

Check:

8.3266² - 4.1633² = 52

69.333 - 17.333 = 52

solve for x in the diagram below

Answers

Answer:

45

Step-by-step explanation:

Both angles (2x+45) and x together form a straight angle which measures 180 degrees.

Together should make you think of adding the angle measurements.

So we have that (2x+45)+x should be 180 degrees.

The equation we want to solve is:

(2x+45)+x=180

2x+45+x=180

(2x+x)+45=180

3x+45=180

3x=180-45

3x=135

x=135/3

x=45

Let's confirm that x is 45.

(2x+45) with x=45:

(2*45+45)

(3*45)

135

So (2x+45)+x at x=45 gives us:

135+45

180

Answer has been confirmed.

Answer:

[tex]\boxed{x = 45}[/tex]

Step-by-step explanation:

=> [tex]x+2x+45 = 180[/tex] (Angles on a straight line add up to 180 degrees)

=> [tex]3x+45 = 180[/tex]

Subtracting 45 to both sides

=> 3x = 180-45

=> 3x = 135

Dividing both sides by 3

=> x = 45

Hi any help is appreciated. Just wanna graduate:))

Answers

Answer:  C

Step-by-step explanation:

h · k(x) = 2(3x - 5)(-2x + 1)

           = (6x - 10)(-2x + 1)

           = -12x² + 6x + 20x - 10

           = -12x² + 26x - 10

Answer:

C

Step-by-step explanation:

h(x) × k(x)

= 2(3x - 5)(- 2x + 1) ← expand factors using FOIL

= 2(- 6x² + 3x + 10x - 5)

= 2(- 6x² + 13x - 5) ← distribute parenthesis by 2

= - 12x² + 26x - 10 → C

What is the image of (-8, 10) when reflected in the y-axis?

Answers

Answer:

if you're just reflecting the point over the y-axis it just becomes (8,10)

Answer: (8, 10)

Explanation and Example:

I have a trick that I use. I'm not sure if it will make sense to you but I'll explain it. When the question asks you to reflect over the x-axis, then keep the x in (x,y) the same and just flip the sign for the y. If the question asks you to reflect over the y-axis, then keep y the same and flip the sign for x.

Reflect over x-axis:

(-2, 6) -----> (-2, -6)

Reflect over y-axis:

(-4, -8) -----> (4, -8)

Transformations of exponential functions

Answers

Answer:

Since the transformation is made by shifting the function right, it is a horizontal transformation.

PLEASE HELP ASAP!! Write a polynomial f(x) that satisfies the following conditions. Polynomial of lowest degree with zeros of -4 (multiplicity of 1), 2 (multiplicity of 3), and with f(0)=64

Answers

Answer:

See below.

Step-by-step explanation:

So, we have the zeros -4 with a multiplicity of 1, zeros 2 with a multiplicity of 3, and f(0)=64.

Recall that if something is a zero, then the equation must contain (x - n), where n is that something. In other words, for a polynomial with a zero of -4 with a multiplicity of 1, then (x+4)^1 must be a factor.

Therefore, (x-2)^3 (multiplicity of 3) must also be a factor.

Lastly, f(0)=64 tells that when x=0, f(x)=64. Don't simply add 64 (like what I did, horribly wrong). Instead, to keep the zeros constant, we need to multiply like this:

In other words, we will have:

[tex]f(x)=(x+4)(x-2)^3\cdot n[/tex], where n is some value.

Let's determine n first. We know that f(0)=64, thus:

[tex]f(0)=64=4(-2)^3\cdot n[/tex]

[tex]64=-32n, n=-2[/tex]

Now, let's expand:

Expand:

[tex]f(x)=(x+4)(x^2-4x+4)(x-2)(-2)[/tex]

[tex]f(x)=(x^2+2x-8)(x^2-4x+4)(-2)[/tex]

[tex]f(x)=(x^4-4x^3+4x^2+2x^3-8x^2+8x-8x^2+32x-32)(-2)[/tex]

[tex]f(x)=-2x^4+4x^3+24x^2-80x+64[/tex]

This is the simplest it can get.

The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 (4x – 8y = 12) → x – 2y = 3 2x = 18

Answers

Answer:

x+2y=12-------(1)

x-2y=3---------(2)

Adding equations 1 and 2

we get

2x=18

x=9

Equation 1

9+2y=15

2y=15-9

2y=6

y=3

The solution of the given system is x=9, y=3

Step-by-step explanation

A fisherman uses a spring scale to weigh a tilapia fish. He records the fish weight as a kilograms and notices that the spring stretches b centimeters. Which expression represents the spring constant (1 =9.8 )? A). 980ab B). 9.8ab C). 9.8ab D). 980ab

Answers

Answer:

k = [tex]\frac{980a}{b}[/tex]

Step-by-step explanation:

Fisherman noticed a stretch in the spring = 'b' centimetres

Weight of the fish = a kilograms

If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,

F = kΔx

Where k = spring constant

Δx = stretch in the spring

F = weight applied

F = mg

Here 'm' = mass of the fish

g = gravitational constant

F = a(9.8)

  = 9.8a

Δx = b centimetres = 0.01b meters

Therefore, 9.8a = k(0.01b)

k = [tex]\frac{9.8a}{0.01b}[/tex]

k = [tex]\frac{980a}{b}[/tex]

Therefore, spring constant of the spring will be determined by the expression, k = [tex]\frac{980a}{b}[/tex]

Given p(x) = x4 + x3 - 13x2 - 25x - 12
1. What is the remainder when p(x) is divided by X - 4?
2. Describe the relationship between the linear expression and the polynomial?
How do we describe the relationship?

Answers

Answer + Explanation + Theory

When a number is divided by a number it results in a quotient and a remainder

E.g. 9 / 4 = 2 remainder 1

9 is the dividend
4 is the divisor
2 is the quotient
1 is the remainder

Same way when a polynomial is divided by a linear expression

E.g.

Ax^2 + bx + c / (x-b) = (x+a) + r

Which can be rearranged to

ax^2 + bx + c = (x+a)(x-b) + r

When x = - a or b, only the remainder is left since either (x+a)(x-b) is 0.

If x = - a or b is substituted into the polynomial and the value is 0 then there is no remainder,

This would suggest (x+a) or (x-b) are factors of the polynomial.

Now apply this logic to these questions

1. Let’s assume (x-4) is a factor, this would mean that when x=4 is substituted into the polynomial the answer would be 0.

This is the case, therefore the remainder is 0.

2. Having seen the logic above (applied using the remainder and factor theorem) the linear expression is a factor of the polynomial.

Line segment TS is tangent to circle O at point N.

Circle O is shown. Line segment Q N goes from one side of the circle to the other side. Tangent T S intersects the circle at point N. Point P is on the circle between points Q and N. Point R is on the circle between points Q and N. Angle Q N T is 74 degrees.

If the measure of Angle Q N T is 74°, what is the measure of Arc Q P N?

37°
74°
148°
212°\

Answers

Answer:

  148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

  arc QN = 2(74°) = 148°

_____

Comment on the question and answer

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

__

We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.

Answer:

148

Step-by-step explanation:

Edge 2020

a warehouse had 3 shelves long enough to hold 8 boxes and high enough to hold 4 boxes. all the shelves are full how many boxes are on the shelves all together?

Answers

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I think. I just multiplies the 3 numbers. Hope this helps (:

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I just multiplies the 3 numbers.

what other numbers can you square that result in 9 ?

Answers

Step-by-step explanation:

I'm not sure what your answers are, but you can only square 3 and -3 to get 9.

Answer:

3, -3

Step-by-step explanation:

3*3 = 9

-3 * -3 = 9

These are the only two numbers that square to 9

Other Questions
A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 3.0 per minute. In serving themselves, customers take about 14 seconds, exponentially distributed. a. How many customers would you expect to see, on average, at the coffee urn? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Can someone help me please which is the first book to be printed The circumference of C is 72cm. What is the length of AB (the minor arc) One of the UN's goals for the 21st century, is to reduce maternal mortality. Brainstorm some ideas, and create a short reflection on how you would propose to create a solution for maternal mortality. Speak in the first person, and write as if you are talking directly to the UN, proposing your ideas. How can protists exhibit both animal-like and plant-like characteristics? Content attributionQUESTION 2 1 POINTWhich anion would bond with K+ in a 1: 1 ratio to form a neutral ionic compound? Help me with these question and please explainnn write the sum of twice a number and eleven as an algebraic expression Translate we complain. Do not use the subject pronouns just the reflexive pronoun and conjugation! Suppose you deposit $ cash into your checking account. By how much will the total money supply increase as a result when the required reserve ratio is 0.0? solve for the inequality 6 A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender? The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows:Houses Sold (x) Probability P(x)0 0.241 0.012 0.123 0.164 0.015 0.146 0.117 0.21Find the mean of the given probability distribution.A. = 3.35B. = 3.50C. = 3.60D. = 3.40 How did the Vietnam and Korean wars differ?A. The Korean War was fought almost entirely by Korean soldiers, butthe Vietnam War was fought largely by Soviets.B. The Vietnam War was a colonial revolution, but the Korean Warwas a Cold War proxy war.C. The Soviet Union provided military support in the Vietnam War butnot in the Korean War.D. The United Nations supported the actions of the United States inthe Korean War but not in the Vietnam War. What is the range of the function f(x)=3/4|x|-3 Please I need help!Write the equation of the line that passes through the points (7, -4) and ( 1, 3), first in point-slope form, and then inslope intercept formThe slope of the line isWhen the point (7, -4) is used, the point-stope form of the line isThe slope intercept form of the line is Which of the following sentences means "I kick it to you"?A. Te lo pateo.B. Me lo pateas.C. Nos los pateis.D. Se lo pateamos. Faustina _____ con los pies. camina. caminas. camine. camino. Describe in general a process desert plants might need to carry out in order to maintain homeostasis. (4 points) All plants need water; think about how plants in an area without much water might be able to live.