Write the equation for the perpendicular bisector of a segment that has endpoints (1, –4) and (3, 2).

Answer:

A)

Valerie measured 4 walls at 2 1/2 feet. In decimal form, each wall is 2.5 feet long. So, the total length of the 4 walls is (2.5 × 4) feet.

Valerie measured 3 walls at 21 1/4 feet. In decimal form, each wall is 21.25 feet long. So, the total length of the 3 walls is (21.25 × 3) feet.

Valerie measured 1 wall at 32 feet.

The expression that gives the total length of the walls that Valerie measured is (2.5 × 4) + (21.25 × 3) + 32.

B)

Seth measured 1 wall at 3.5 feet.

Seth measured 2 walls at 22.75 feet. So, the total length of the 2 walls is (22.75 × 2) feet.

Seth measured 1 wall at 58 feet.

The expression that gives the total length of the walls that Seth measured is 3.5 + (22.75 × 2) + 58.

C)

The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.

The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.

To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.

D)

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58

= 10 + 63.75 + 32 + 3.5 + 45.5 + 58

= 212.75

The perimeter of the house is 212.75 feet.

E)

The total length of Valerie’s walls is 105.75 feet:

(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.

The total length of Seth’s walls is 107 feet:

3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.

The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.

edmentum answers :)

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point (a) :

In this, two points are  exclusive to one another,  it is a probability that first or the  second project will have breaches,

[tex]\to P = P(A) + P(B)[/tex]

       [tex]= 0.3 + 0.25\\\\= 0.55[/tex]

Since the p(A & B)=0  is mutually exclusive.

For point (b):

[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]

       [tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]

For point (c):

 if both a and b are independent:

(a):

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

   [tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]

(b):

[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]

   [tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]

Answer:

the answer is b

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please

Answer: GIVE ME BRAINLIEST the answer is 5/42

Step-by-step explanation:

Answer:

5/42

Step-by-step explanation:

It's simple multiplication, just multiply across.

Answer:

The answer is B.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

So the answer is 15.

Hope this helps :)

-ilovejiminssi♡

Answer:

4x - 15

hope this helped

Answer:

(-1, 2)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

5 divided by 8, multiply by 72

=(5÷8)72

=(0.625)72

=45

Answer:

Step-by-step explanation:

let the height of tree=h

[tex]\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm[/tex]

the answer is I C and OD. I hope this helps

Answer:

option one

Step-by-step explanation:

the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3

The exponential function q(x) displays the fastest growth as the x-values continue to increase.

The correct option is D.

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

A table is given for the value of x.

The function m(x) shows the linear relationship.

Because it has constant first difference.

n(x) is not a function because it has 2 input values connecting to one output value.

And the function q(x) has common ratio,

0.3/0.15 = 2.

So, it is an exponential function.

So, this function will display the fastest growth.

Therefore, the function is q(x).

To learn more about the exponential;

https://brainly.com/question/14344314

#SPJ6

Answer:

x = 4

Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 4

Answer:

x=4

Step-by-step explanation:

9-1=8

8/2=4

Answer:

Tina will pay $12.95 for shipping and handling.

Step-by-step explanation:

Because you literally just have to multiply $62.95 by .2 and you have your answer.

Step-by-step explanation:

no entiendo.....aaaaa

Answer:

6b+4

Step-by-step explanation:

Answer:

a- Vernon practiced soccer 5  3/4hours this week. He practiced 4  1/3hours on weekdays and the rest over the weekend.

Step-by-step explanation:

Hope this helps

Answer:  Hello There!!

w = -5/2

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

-10/4

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

77

Step-by-step explanation:

77/11=7

Answer:

k=77 because 77/11 is 7

Step-by-step explanation:

Answer:

c. x=-2

Step-by-step explanation:

256=(1/4)^(3x+2)

㏒(1/4) (256)=3x+2

-4=3x+2

3x=-6

x=-2

Answer:

Answer:

g×4=64

product means multiply

so that would mean Gorans height times 4 and that would all equal 64

hope this helped

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

Complete question :

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5705 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.

Answer:

H0​: p=0.2

H1​: p<0.2 ;

- 3.16 ;

0.0008 ;

p value is < α ; We reject the Null.

Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate

Step-by-step explanation:

The null hypothesis ; H0 : p = 20%

Alternative ; H1 : p < 20%

Sample size, n = 1294 + 5705 = 6999

p = inaccurate / total

p = 1294 / 6999 = 0.1849

The test statistic (Z) :

(P - P0) ÷ sqrt((P0(1 - P0)) /n)

P0 = 0.2

(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))

−0.0151 ÷ 0.0047812

= - 3.1582029

= - 3.16

Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01

P value = 0.000789

P value = 0.0008 (4 decimal places).

Since p value is < α ; We reject the Null.

Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate

Answer:

3.25

Step-by-step explanation:

Answer:

the rate of change is -4

Step-by-step explanation:

it's set up as y=mx+b

m is the rate of change

b is the y-intercept

m= -4

b=9

Answer:

f ( x ) = [tex]x^{2}[/tex] , [ 2 , 3 ]

− 4

Step-by-step explanation:

Answer:

y = 1/4x - 3/2

Step-by-step explanation:

for slope, use formula (y2-y1)/(x2-x1):

(-1-(-2))/(2-(-2))

=1/4

use formula y=mx+b for equation:

y=1/4x+b (substitute x and y for either (-2, -2) or (2, -1))

-1=1/4(2)+b

-1=1/2+b

-3/2 = b

equation:

y = 1/4x - 3/2