Factor this polynomial completely
x2 - 8x+ 12
O A. (x-2)(x-6)
B. (x + 2)(x-6)
c. (x - 2)(x+6)
D. (x-3)(x - 4)

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

∵ 3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

∴ x = 80

∵ x represents the actual length of the bridge

∴ The bridge is 80 feet long

Answer:

Y=(1/2)x + 3

Step-by-step explanation:

The equation of the line is y = (1/2)x + 3.

We have,

The equation of a line is written as:

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

From the line,

We have the following coordinates:

(2, 4) and (4, 5)

Now,

Slope.

m = (5 - 4) / (4 - 2) = 1/2

And,

(2, 4) = (x, y)

Substituting.

y = mx + c

4 = (1/2) x 2 + c

4 = 1 + c

c = 4 - 1

c = 3

Now,

y = (1/2)x + 3

Thus,

The equation of the line is y = (1/2)x + 3.

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there can be infinitely many solutions

For example: 5.16 and 5.06

Answer: I actually got a good one

My best friend told me that I was the best person ever and that she hoped nothing would ever separate us. She always is there when I need her, and she supported me when I came out! She is the greatest Friend I could ever ask for!

"I was walking home one day last winter, it was super cold out and some lady I've never seen before stopped to pick me up. She was really nice and drove way out of her way to drop me off at my house. She gave me a winter hat and a piece of chicken (she was on her way home from KFC) I said 'thank you' and she told me to pay it forward." I never got her name though :(

Answer:

The space NOT occupied by the tennis balls is 12.26 cube inches.

Step-by-step explanation:

The space NOT occupied = volume of cylinder - total volume of spheres

The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius and h the height of the cylinder

With the given condition,

r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]

                 = 1.25 inches

h = 3 x diameter = 3 x 2.5

                     = 7.5 inches

So that,

Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5

                               = 36.830

Volume of can is 36.83 cube inches.

The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

                                = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]

                                = 8.185

Volume of the tennis ball is 8.19 cube inches.

Since they are sold in three's, then;

total volume of the tennis balls = 3 x 8.19

                                     = 24.57

Volume of the tennis balls is 24.57 cube inches.

Thus,

The space NOT occupied = 36.83 - 24.57

                                           = 12.26

The space NOT occupied by the tennis balls is 12.26 cube inches.

Answer:9.7-9.5n

Step-by-step explanation:

Answer:

A.The corresponding angles of a shape and its dilation are congruent.

Step-by-step explanation:

Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.

Thus, the respective angles of the given shape and its image are the same.

The appropriate answer to the given question is A.

Answer:

The slope-intercept equation is:

[tex]y=\frac{3}{2}x+1[/tex]

Step-by-step explanation:

Given the equation

[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]

comparing it with the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 3/2

The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]

[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]

writing the line equation in the slope-intercept form

[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]

[tex]y=\frac{3}{2}x+1[/tex]

Thus, the slope-intercept equation is:

[tex]y=\frac{3}{2}x+1[/tex]

Here,

As the slope-intercept form is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so

[tex]y=\frac{3}{2}x+1[/tex]

m=3/2

b = y-intercept = 1

Therefore, the slope-intercept equation is:

[tex]y=\frac{3}{2}x+1[/tex]

Answer:

yes???

Step-by-step explanation:

Answer:

did u forget to complete the question or.....

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Answer:

It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.

Step-by-step explanation:

Answer:

3 water bottles

Step-by-step explanation:

25-10=15

15/5=3

Answer:

a(14)=469762048

Step-by-step explanation:

geometric sequence= a(n)=a*r^(n-1)

  we have:

  a=7

  r=28/7=4

So:

  a(14)=7*4^(14-1)

         =7*4^(13)

          =469762048

hope this helps

Answer:

your answer will bw the option A.

Step-by-step explanation:

Answer:

$30.83

Step-by-step explanation:

Before Tax Price: $28.95

Sale Tax: 6.50% or $1.88

After Tax Price: $30.83

Hope this helped :)

Answer:

$30.83

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

89+97+112+104+113=515

515÷5=103

103 is the final answer, hoped this helped.

Answer:

the answer is -43 it is right

Answer:

-43

Step-by-step explanation:

Answer:

[tex]\huge\boxed{11}[/tex]

Step-by-step explanation:

[tex]\sf = y^2-x^2\\\\Put \ y = 6 \ and \ x = 5\\\\=(6)^2-(5)^2\\\\=36-25\\\\= 11\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

D . No because it fails the vertical line test .

Step-by-step explanation:

Answer:

X=16

Step-by-step explanation:

6x=32+64

6x= 96

X= 16

Answer:

4/5

Step-by-step explanation:

Rise = 4

Run = 5

~theLocoCoco

Answer:

4/5

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

1 4/45

Step-by-step explanation:

Answer:

slope is 3 and y intercept of -2

Step-by-step explanation:

Answer:

d) y = IxI + 4

Step-by-step explanation:

Answer:

then the test fails.

Step-by-step explanation:

Answer:

Solve the first equation for y

Step-by-step explanation:

The statement "Because 22×5=110, 110 divided by 5 is 22 is true.

Given that, 110÷5.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 5|110|22

             10

        _______

              10

              10

      ________

               0

Here, quotient = 22 and remainder = 0

We know that, Dividend = Divisor×Quotient+Remainder

110=5×22+0

110=22×5

Therefore, the statement "Because 22×5=110, 110 divided by 5 is 22 is true.

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