INTERMEDIATE LEVEL
5. Find the equation of the line passing through
the point
(d) (2, -3) and perpendicular to the line y + 2x = 13.​

Answers

Answer 1

y = (1/2)x - 4

Step-by-step explanation:

The equation of the given line is

y = -2x + 13

The equation of the perpendicular line that we need must have a slope of 1/2 and passes through (2, -3) so the form should be

y = (1/2)x + b

To solve for b, use the point (2, -3)

-3 = (1/2)(2) + b ---> b = -4

Therefore, the equation that we need has the form

y = (1/2)x - 4


Related Questions

La ecuación de la recta que pasa por el punto P(1,3) y es paralela a la recta

Answers

Answer:  No puedo responder a esto sin que me muestres el problema.

I need the answer fast pls

Answers

Answer:

statistical is the right one:)

Could someone leave an explanation? I don’t understand how to solve properties of exponents. Thanks

Answers

I hope this picture can explain what is going on in this question

Jamie is working on simplifying a problem with negative exponets and got the answer 1/4³. What might Jamie's original expression have been? In other words, work backwards and rewrite this expression with a negative exponet​

Answers

Answer:

Your answer would be 4^-3.

Step-by-step explanation:

So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.

In this case, 4 would be the number and -3 would be the negative exponent.

So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.

1/x^y ---> x^-y

1/4^3 ---> 4^-3

Your answer would be 4^-3.

Algebraic expression for six times 4 Less Than 3 times x

Answers

Answer:

6(3x - 4)

Step-by-step explanation:

From the question, we can deduce the following points;

- 6 is multiplied by 3x minus 4

Translating the word problem into an algebraic expression, we have;

6 * (3x - 4)

please help me with this

Answers

9514 1404 393

Answer:

C = 40°c ≈ 5.79a ≈ 6.89

Step-by-step explanation:

The acute angles in a right triangle are complementary, so ...

  C = 90° -50°

  C = 40°

__

SOH CAH TOA reminds you of the relations ...

  Cos = Adjacent/Hypotensue

  Sin = Opposite/Hypotenuse

Then ...

  cos(50°) = c/9

  c = 9·cos(50°) ≈ 5.79

  sin(50°) = a/9

  a = 9·sin(50°) ≈ 6.89

Helppppppppppp !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: y = (1/2)x + 2

Explanation

Answer:

The line equation is Y=(1/2)x+2

Step-by-step explanation: Start with the standard from: y=mx+b

Find the slope, or change in the y value divided by change in the x value.

For this graph the slope is 1/2 meaning the y value goes up once every time the x value goes up two. this is represented by the m value

Now we need to find the y intercept, or where the graph passes through the y intercept, this is represented by b

We find the intercept by inserting a point n the line into our equation and solving for b:

Point: (2,3) Equation: y=(1/2)x+b

3=(1/2)2+b

3=1+b

-1  -1

2=b

I’ll give brainliest for the right answer!

Answers

Answer:

[tex] (x-1.3) ^2 + (y+3.5) ^2= 37 [/tex]

Step-by-step explanation:

Radius of the circle [tex] r = \sqrt {37}\: units [/tex]

Center of the circle (h, k) = (1.3, - 3.5)

Equation of the circle in center radius form is given as:

[tex] (x-h) ^2 + (y-k) ^2= r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] (x-1.3) ^2 + (y+3.5) ^2= (\sqrt {37})^2 [/tex]

[tex] (x-1.3) ^2 + (y+3.5) ^2= 37 [/tex]

This is the required equation of the circle.

Which describes the turn the angle on the circle shows?

Answers

The answer is D: 180 degrees counterclockwise

WILL





GIVE BRAINLISTTT

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Answers

Answer:

c

Step-by-step explanation:

explanation needed

What is the mean of the data set below? Round to the nearest tenth when necessary. 96, 98, 56, 88

Answers

search up mean calculator

What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b')?
O-4
0 -3
O 3
O4

Answers

Answer:

3

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]y = a(b)^x[/tex]

In which a is the value of y when x = 0.

In this question:

When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.

A = {prime numbers between 4 and 25}
B = {odd numbers less than 16}

List the outcomes of A U B
List the outcomes of A n B

Please Show your work

Answers

I don’t know not really sure maybe somebody else will know

Rewrite the function by completing the square. f(x)=x^{2}+8x+4

Answers

Answer:

[tex]\implies f(x) = ( x + 2)^2[/tex]

Step-by-step explanation:

Given :-

f(x) = x² + 8x + 4 .

And we need to rewrite the function by completing the square. The function is ,

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

We can rewrite the function in the form of ,

[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]

Rewriting the function :-

[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]

This is similar to the whole square form stated above . So ,

[tex]\implies f(x) = ( x + 2)^2[/tex]

Hence the function in whole square form is (x + 2)² .

ecosystem biodiversity is often used a measure of its overall

a shape
b size
c health
d income

Answers

Answer:

c... health

Step-by-step explanation:

Answer:

ecosystem biodiversity is often used a measure of its overall health.

Step-by-step explanation:

john has a rectangular shaped figure shoes length is 62.5 yards and width is 45.3 yards The area of the field is 2,731.25 square yards the perimeter of the field is blank yards

Answers

The answer is 2831.25. 2831.25 = 215.6

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If
the trip takes 6 hours at 900 km/h, what would be the speed if the trip took 10 hours?

Answers

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

help with no link please ​

Answers

Answer:

1. 156 2. 84 3. 74

Step-by-step explanation:

1. b x h. 8 x 8 is every side on the square so one side is 64 and the one behind it is 64 also which is 128 and since that is the case with the other sides its 128 + 128 = 156

2. 1/2 x b x h = 1/2 x 4 x 3 = 6 x 2 because of the side behind it that is the same = 12. 6 x 5 = 30; 6 x 4 = 24; 6 x 3 = 18. 12 + 30 + 24 + 18 = 84

3. b x h. 2.5 x 2 = 5 x 2 because of the other side = 10; 7 x 2.5 = 17.5 x 2 = 35; 7 x 2 = 14 x 2 = 28. 10 + 35 + 28 = 76

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its own site with use of a longer established social networking site named FaceList. Some articles published on the Internet give the reader the opportunity to register votes (called "likes") for the article on social networking sites to which the reader belongs. A BooglePlus employee selects from the Internet a random sample of 28 articles where the opportunity is given for registering votes for the article on both BooglePlus and Face List. Letting x be the number of votes on FaceList and y be the number of votes on the BooglePlus, the slope of the least squares regression line of y on x is found to be 0.0623, with a standard error of 0.0224.

Required:
What could be used to compute a 95% confidence interval for the slope of the population regression line of y on x?

Answers

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )

{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056

so we substitute

0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

write 1000000 in a scientific notation

Answers

Answer:

10^6

Step-by-step explanation:

Dont exactly know how to explain but it’s ten to the sixth power. There are six zeros and I just know how to do this.

1,000,000 in a scientific notation is 1 x 106 (the six is supposed to be little )

The scores on a test are normally distributed, with a mean of 82 and standard deviation of 8. What percent of scores are greater than 90? Explain your answer.

Answers

Answer:

14.64%

Step-by-step explanation:

P(90<X<100) = normalcdf(90,100,82,8) = 0.1464308262 ≈ 0.1464 ≈ 14.64%

Therefore, about 14.64% of the scores are greater than 90.

By calculating the CDF of normal distribution, the percentage of scores that are greater than 90 are 14.6%.

What is CDF function of normal distribution?

The CDF function of a Normal distribution is calculated by translating the random variable to the Standard Normal, and then looking up a value from the precalculated "Phi" function (Φ), which is the cumulative density function of the standard normal. The Standard Normal, often written Z, is a Normal with mean 0 and variance 1. Thus, Z∼N(μ=0,σ²=1).

Let x1, x2, .... be the scores on the test.

X ~ N (82, 64)

[tex]= P(90 < X < 100) \\\\= P(\frac{90 -82 }{8} < \frac{X - 82}{8} < \frac{100-82}{8} ) \\\\= P(1 < \frac{X - 82}{8} < \frac{18}{8}) \\\\P(1 < Z < \frac{18}{8})\\ \\[/tex]

P(90 < X < 100) = Φ(18/8) - Φ(1) = 0.146 (using norm.s.dist function in excel)

Learn more about CDF function of normal distribution here

https://brainly.com/question/14936604

#SPJ2

The relationship between the number of $12 DVDs you buy and the total cost. I need to know if it is linear or solid.

Answers

Answer:

I'm a bit confused with your question.

Maybe this guy Sayurki can help ! He said this - "Set of unconnected points because you can't buy a part of a DVD in a line there are infinite points and when buying something such as a DVD to reach that infinite u need to be able to buy part of a DVD which technically isn't possible so that why is unconnected points u buy a full DVD not part "

Step-by-step explanation:

Solve the value of w

Answers

Answer: 13

Step-by-step explanation:

This is a right angle, since there is a box

So, 33° + (4w + 5)° = 90°

33° + 4w + 5 = 90°

38° + 4w = 90°

Subtract 38° on both sides

4w = 90° - 38°

4w = 52°

Divide 4 on both sides

w = 13

I 13. Angeles is 5yrs younger
Than her husband Joseph
The sum of their ages is 63yrs.
How old world Angeles be in
5yrs Time​

Answers

Answer:

x - 5 = 63

x = 63 - 5

x = 58 years

Answer:

she will be 34

Step-by-step explanation:

x - Joseph age

(x-5)+x=63

2x=68

x=34

34- 5 =29 Angeles age

in 5 years she will be 29+5=34

Can someone answer this please

Answers

Answer:

3x+94+x+18+2x-4=180(being straight line)

6x+108=180

6x=180-108

x=72/6

x=12

Step-by-step explanation:

The Answer is x= 12 Explanation ^^

PLS HELPPPP ! I need itttt

Answers

Answer:

x = 10

Step-by-step explanation:

The answer is x=10.

Students at Elon University were surveyed and the average commute distance to campus is 0.5 mile. Assume the population standard deviation is 0.1 mile. Please construct a 90% confidence interval for the population mean.
a. [0.472, 0.528]
b. [0.479, 0.521)
c. [0.463, 0.534]
d. [0.476, 0.524]

Answers

Answer:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{0.1}{\sqrt{n}} = \frac{0.1645}{\sqrt{n}}[/tex]

The lower end of the interval is the sample mean subtracted by M, while the upper end is M added to the sample mean of 0.5. Thus, the confidence interval is of:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

The length of a rectangle is twice the width. The area is 50 square inches. Find the
dimensions of the rectangle.

Answers

Answer:

The dimensions are 5 and 10 inches

Step-by-step explanation:

The area is 50 square inches and the length is twice the width. 10 is the length, which is two times 5. 10 times 5 is 50.

The length is 10 and the width is 5.

us
If f(x) = x2, and
g(x) = x – 1, then
g(f(x)) = x[?] + [?]

Answers

Answer:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) =x -1[/tex]

Required

[tex]g(f(x))[/tex]

We have:

[tex]g(x) =x -1[/tex]

Replace x with f(x):

[tex]g(f(x)) = f(x) -1[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]g(f(x)) = x^2 -1[/tex]

Hence:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

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