Solve. Draw to show your answer. Picture above

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Length of AB

[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]

perimeter of ABCD

[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]

Answer:

State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]

[tex]x = \frac{-1 \pm 23}{2} [/tex]

[tex]x_1 = \frac{-1 + 23}{2} [/tex]

[tex]x_1 = 11 [/tex]

[tex]x_2 = \frac{-1 - 23}{2} [/tex]

[tex]x_2 = -12[/tex]

The negative solution has no sense in the context of our problem, then the solution is x = 11.

Answer:

1783 sq. Units

Step-by-step explanation:

Answer: 1 is not, 2 is, 3 is, 4 is, 5 is, 6 is not

Step-by-step explanation:

1 is not because 2 has two arrows coming off of it and each input can only have one output. 6 is not because if you draw a line down the graph it will hit the figure more than once( this is called the pencil drop test)

Function is an assignation that for each element of first set assigns one and only one element from second set.

1) NO    {element 2 from set one has assigned two elements (b, c) from set two}

2)  YES

3) YES     {several elements from set one can have assigned the same element from set two}

4), 5)   YES

6)  NO   {for x from about -4 to about 0.5 there are two y}

Answer:

4√ y

.......................

Answer:

[tex]g(x) = \frac{1}{5} |x|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Vertically compressed

Compression Factor = 5

Required

Find the equation of the new function;

Let the new function be represented by g(x)

Let c represented the compression factor;

such that c = 5

When a function f(x) is vertically compressed by factor c, the new function becomes

[tex]f(\frac{1}{c}x)[/tex]

From properties of functions;

[tex]f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

This implies that

[tex]g(x) = f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

[tex]g(x) = \frac{1}{c} *f(x)[/tex]

Recall that [tex]f(x) = |x|[/tex] and c = 5

[tex]g(x) = \frac{1}{5} * |x|[/tex]

[tex]g(x) = \frac{1}{5} |x|[/tex]

Hence, the new function is [tex]g(x) = \frac{1}{5} |x|[/tex]

Answer:

G(x)=1/5 |x|

Step-by-step explanation:

A p e x

Answer:

D

Step-by-step explanation:

i beleive the answer is D

random words so brainly doesnt delete my answer again for no reason d ;lkm dfkslfjks fjdsfdnfjnv fheryqoiwr bnmxm,nxvbkfldj uyeuqiowerhtuirqgyt jbnnkfamcx vnkscjvhsdf

Answer:

x = 20

y = 73

Step-by-step explanation:

8x - 87 + 7x - 33 = 180

15x = 180 + 87 + 33

15x = 300

x = 20

8x - 87 = y

160 - 87 = y

y = 73

Answer:

The average rate of change from year 0 to year 2 is

[tex]change = -0.0585[/tex]

The average rate of change from year 3 to year 6 is

[tex]change = -0.0129[/tex]

Step-by-step explanation:

The average rate of change describes the average rate at which gas price in dollars per gallon is changing with respect to time (years)

The given polynomial function is

[tex]y = -0.0058x^4 +0.05x^3 -0.086x^2 - 0.04x + 2.52[/tex]

Calculate the average rate of change from year 0 to year 2.

For year x = 0

[tex]y = -0.0058(0)^4 +0.05(0)^3 -0.086(0)^2 - 0.04(0) + 2.52 \\\\y = 2.52[/tex]

For year x = 2

[tex]y = -0.0058(2)^4 +0.05(2)^3 -0.086(2)^2 - 0.04(2) + 2.52 \\\\y = -0.0928 + 0.4 - 0.344 - 0.08 + 2.52 \\\\y = 2.403[/tex]

The average rate of change from year 0 to year 2 is

[tex]change = \frac{y(2) - y(0)}{x(2) - x(0)} \\\\change = \frac{ 2.403- 2.52}{2 - 0} \\\\change = \frac{-0.117}{2} \\\\change = -0.0585[/tex]

The negative sign indicates that the gas price has decreased from year 0 to year 2.

The average rate of change from year 3 to year 6 is

For year x = 3

[tex]y = -0.0058(3)^4 +0.05(3)^3 -0.086(3)^2 - 0.04(3) + 2.52 \\\\y = -0.4698 + 1.35 - 0.774 - 0.12 + 2.52 \\\\y = 2.506[/tex]

For year x = 6

[tex]y = -0.0058(6)^4 +0.05(6)^3 -0.086(6)^2 - 0.04(6) + 2.52 \\\\y = -7.5168 + 10.8 - 3.096 - 0.24 + 2.52 \\\\ y = 2.4672[/tex]

The average rate of change from year 3 to year 6 is

[tex]change = \frac{y(6) - y(3)}{x(6) - x(3)} \\\\change = \frac{ 2.4672- 2.506}{6 - 3} \\\\change = \frac{-0.0388}{3} \\\\change = -0.0129[/tex]

The negative sign indicates that the gas price has decreased from year 0 to year 2.

Answer:

A

Step-by-step explanation:

The slope of function M is 5x and so that is a 2 difference

Answer:

The rates of change is different by 2

Step-by-step explanation:

Function M

m = (y2-y1)/(x2-x1)

    = (21-11)/(4-2)

   = 10/2

   =5

Function P has a slope of 7

The difference ins the rate of change is 7-5 =2

Answer:

7 cm

Step-by-step explanation:

The two triangles are similar, so you can set up a proportion where (36/6) = (42/x). When you solve for x, you get seven.

Answer: 3^2 + 8×4

= 41

3^2=9, 8 ×4=32 9 +32=41

Step-by-step explanation:

You can use the carat ^ to indicate an exponent. On a standard keyboard it's above the 6. (shift +6).

I have the same problem on my phone keyboard.

In Brainly, you might be able to use the formula options.

Answer:

41

Step-by-step explanation:

3^2 + 8(4)

Multiply 8 by 4

3^2 + 32

Square 3

9 + 32

Add 9 and 32 to get the answer

41

hope this helps!

Answer:

4

Step-by-step explanation:

Month 1- average rating as er graph is 4 point (1,4)

Rating was 4 at the beginning, then was stable for 2 months at 3, then increased over time up to 8 at month 10, point (10, 8)

This question is incomplete because it was not written properly

Complete Question

A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)

a) 20%

b) 40%

c) 60%

d) 75%

Answer:

d) 75%

Step-by-step explanation:

We would be solving this question using conditional probability.

Let us represent the percentage of those who passed the first quiz as A = 80%

and

Those who passed the first quiz as B = unknown

Those who passed the first and second quiz as A and B = 60%

The formula for conditional probability is given as

P(B|A) = P(A and B) / P(A)

Where,

P(B|A) = the percent of those who passed the first one passed the second

Hence,

P(B|A) = 60/80

= 0.75

In percent form, 0.75 × 100 = 75%

Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.

Answer: A, C, and E

Step-by-step explanation:

Hi, to answer this question we have to analyze the function given:

C(b) = 2.75b + 10

Where:

So:

A. The number of books purchased is the independent variable. TRUE  

B. The input is the yearly cost. (FALSE, the input is the number of books )

C. The total yearly cost depends on the number of books purchased. TRUE

D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number  

of books.

E. The output is the yearly cost.TRUE

Answer:

A)The number of books purchased is the independent variable.

C)The total yearly cost depends on the number of books purchased.

E)The output is the yearly cost.

those are your corrected answers

Step-by-step explanation:

Answer:

-2√10, 2√10

Step-by-step explanation:

Graphing x²-40 would be the fastest way to go. However, because this is not factorable, you have to use the quadratic formula to solve it if you want to do it algebraically.

Answer:

[tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex]

Step-by-step explanation:

(x^2) + 2 - 42 = 0

(x^2) - 40 = o

x =± [tex]\sqrt{40\\}[/tex]

x =± [tex]2\sqrt{10}[/tex]

Therefore x = [tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex],

Answer:

add a picture

Step-by-step explanation:

Answer:

Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing

Step-by-step explanation:

When she rounded $57.25 to $60 and 28 pounds to 20, the result she got was 60/20=$3. The issue was this is that she rounded up for the dividend and rounded down the divisor, leading to a much bigger estimate than the real answer. Hope this helps!

The error she did was Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing , Option B is the answer.

Error is the calculation mistake done while doing mathematical operations.

It is given that

Shannon paid $57.25 for 28 pounds of potatoes.

She paid $57.25 /28 = $ 2.045 for 1 pound of potato

She estimated the cost per pound to be $3.00

which means $0.955 more than the actual cost

The error she did was Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing.

$60/20 = $3

Therefore Option B is the answer.

To know more about Error

https://brainly.com/question/13286220

#SPJ2

Answer:

A & F

Step-by-step explanation:

if you look at the other question I answered for you, you can see the work. but basically you can figure out slope by doing m=y2-y1/x2-x1.

so we now know the slope is 1/4. which eliminates choices B, D, E.

we see that C will not work because the x and y values are switched.

according to point slope formula A & F work.

Answer:

Nonlinear- it is a quadratic, which is a parabola, not a linear graph.

Step-by-step explanation:

Answer:

It's Nonlinear

Answer:

Hi your answer should be 8 thousand

Step-by-step explanation:

Answer:

c ( 8000)

Step-by-step explanation:

A comes out 0.13

B is 0.026

c is 8000

D is 0.1

Absolutely c is the right answer.

Please mark me brainliest. I need to rank up.

Answer:

11

Step-by-step explanation:

7x-4=73

7x = 4+73

7x = 77

7x/7 = 77/7

x = 11

[tex]answer \\ = 5 \sqrt{17} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

O {-8, 8}

Step-by-step explanation:

[tex]-|x| = -8\\\\\frac{-|x|=-8}{-1}\\\\|x|=8\\\\\text{Apply rule: If } |u|=a, a > 0, \text {then } u=a \text { or } u=-a\\\\\boxed {x = -8, x = 8}[/tex]

Answer:

The following are the answer to this question:

Step-by-step explanation:

Binomial theorem Expression:

[tex]\bold{(x+y)^n= {^n}C_0x^ny^0+{^n}C_1x^{n-1}y^1+{^n}C_2x^{n-2}y^2+...+{^n}C_{\gamma}x^{n-\gamma}y^\gamma}+...+ {^n}C_nx^0y^n[/tex]Solution:

1)

[tex]\to 2^{10} = (1 + 1)^{10}[/tex]

         [tex]= (1+1)^{10}= {^{10}}C_0\times 1^{10}\times 1^0+{^{10}}C_1\times 1^{9}\times 1^1+{^{10}}C_2\times 1^{8}\times 1^2+ \\ {^{10}}C_3 \times 1^{7}\times 1^3+{^{10}}C_4 \times 1^{6}\times 1^4+ {^{10}}C_5\times 1^{5}\times 1^5 \\+ {^{10}}C_6 \times 1^{4}\times 1^6+....+{^{10}}C_{10}\times 1^{0}\times 1^{10}[/tex]

          [tex]= {^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\[/tex]

2)

Simplify:

[tex](1+1)^{10}=[/tex]

[tex]{^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\[/tex]

[tex]=1+10+45+120+210+252+210+120+45+10+1\\\\=1024[/tex]

3)

The [tex]r^{th}[/tex] word is the number of variations where a coin is redirected 10 times.

4)

Get the frequency of exactly five heads is: [tex]{^{10}}C_{5}[/tex] = 252

        [tex]=\frac{252}{1024}\\\\=\frac{126}{512}\\\\=\frac{63}{256}\\\\=0.24[/tex]

5)

To Get 5 heads will be:

[tex]={^{10}}C_{5} \times (\frac{1}{2})^{10}\\\\=\frac{{^{10}}C_{5}}{2^{10}}\\\\=0.24[/tex]

Answer:

<b = 23°

Step-by-step explanation:

<a and <b are complementary so they add up to 90

<a + <b = 90

Where <a = 67

67 + <b = 90

<b = 90 - 67

<b = 23°

Answer:

∠b=23°

Step-by-step explanation:

∠a+∠b=90°

67°+∠b=90°

Subtract 67° from both sides

∠b=23°

Step-by-step explanation:

because we know that both of these parts have to do with right triangles, we know that we can use the Pythagorean theorem.

since q is the right angle, you know that any line segment with q is a leg of the triangle

A.)

a^2 + b^2 = c^2 (add in values)

8^2 + 15^2 = c^2  (a=pq and b=qr) SIMPLIFY

64 + 225 = 289 (add)

find the square root of 289 = 17 so pr = 17

B.

This time we are using one leg (pq) and the hypotenuse (pr) to find the other leg

a^2 + b^2 = c^2 (sub the numbers in)

a^2 + 8^2 = 10^2 (simplify)

a^2 + 64 = 100 (subtract 64 on both sides)

a^2 = 36

the square root of 36 is 6 so qr = 6

Answer:

D.  Yes by SAS Similarity Postulate

Step-by-step explanation:

This is the answer because if you flip triangle LNM around to shape the DEF.  Then you will see that:

1. angle D is congruent to angle L

2. angle E is congruent to angle N

3. angle F is congruent to angle M

4. angle E and N are both 90 degrees

Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.

We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate.  The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.

Answer:

D. SAS Similarity Postulate

Step-by-step explanation:

I got it right on the test