if the area of a rectangle is represented by x^2 – 25, write the length and width of the rectangle as factors.

Answer:

C. 44 cm, 30cm, and 16 cm

Step-by-step explanation:

Sana nakatulong

b is cheaperrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer:make sure the value of x is positive

-check the solution to ensure it is a rational number

Step-by-step explanation:                            .

When solving equations with square roots it is important,

When solving equations with square roots it is important to keep in mind;

The value of x must be greater than or equal to zero i.e. value of x should be positive.

Rational number is a number which can be express in p/q form where q can not be equal to zero. Therefore, value of x should be rational number.

If radical expression is present,  isolate the radical on one side of the equation. Square both sides of the equation. Solve the new equation.

Learn more about the square root here:

https://brainly.com/question/620307

Answer:

I agree with Cheryl.

24 ÷ 3 = 8

3 ÷ 24 = [tex]\frac{1}{8}[/tex]

Commutative property works for multiplication because when you multiply two numbers, you have repeated addition. No matter which way you add up the numbers, you will get the same result. When you divide, you are breaking up a certain number by a certain number. If they are not the same number, you will get a different result.

Answer:

The second option

Step-by-step explanation:

Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.

Answer:

1. possibly congruent

2. possibly congruent

3. congruent

4. similar

Step-by-step explanation:

It is impossible to tell for the first two.  In order to be congruent they must have the measurements (lengthes& angles)  for all coordinating sides and angles.  Since we don't have that info we can only guess and since the look exactly the same we can guess they are congruent.

The third one being on the graph we can tell these are congruent.

the fourth one is obviously not congruent because the side lengths are different.  We are guesing that the coordinating angles are congruent    

the question did not give enough information to properly answer the questions with confidence

Answer:

the wall is 66 inches long

Step-by-step explanation:

hope this helps :)

Answer:

D

Step-by-step explanation:

As,

-10 is always greater than -13

Hence, -13 < -10

Answer:

x = 1/2 and y=6x, so 8x/2y = 8(1/2)/2(6*1/2) = 4/6 = 2/3

Step-by-step explanation:

Answer:

Its height would be 7 meters.

Answer:

the answer would be A because that makes a straight line.

100 = 10^2

1000 = 10^3

10000 = 10^4

0.1 = 10^(-1)

0.01 = 10^(-2)

0.001 = 10^(-3)

Now,

100 × 0.1 = 10^2 × 10^(-1)

= 10

Answer:

4

Step-by-step explanation:

Answer:

4) volume =288

5) 4=r

Step-by-step explanation:

Question 4

volume=length*width*height

volume= 3*8*12

volume=288

question 5

V=pie r^2*h

144pie=pie r^2 *9

144/9=r^2

16=r^2

4=r

Answer: 18 quarts for Part a

9 gallons for part b

Step-by-step explanation:

Answer:

Part A: 18

Part B: 4 1/2

Step-by-step explanation:

Part A:

He needs to triple his recipe by 3, so 12 x 3. So you get 36. The question was how many quarts does he need. So 36 divided by 2 is 18. So 18 quarts is needed!

Part B: We need to find out how many gallons he needs, we already know that he has 18 quart. There are 4 quarts in a gallon. So 18 divided by 4 is 4 1/2.

Good Luck And Hope this helps!

Yours Truely, TheAnimeCatUwU

Answer:

Subtract 2 pi*r^2 from either side of the equation giving you 

S - 2 * pi *r^2 = 2 * pi * r * h

Divide by 2 pi * r on either side of the equation which would give us

h = ( S - 2 pi r^2) / 2 pi r

We have made h the height of the surface cylinder when the formula of the surface area of a cylinder was presented to us.

The formula for h is [tex]\frac{s-2\pi r^{2} }{2\pi r}[/tex]

Given the formula for Surface area of cyclinder

S A = 2pir^2 + 2pirh,

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

We need to find h from the given formula

What is Surface area of cyclinder?

Surface Area = 2pir^2 + 2pirh,

Surface Area(S) = 2pir^2 + 2pirh,

S = 2×pi×r×r + 2×pi×r×h

Take  2×pi×r common

S = (2×pi×r)(r + h)

Divide both sides by 2×pi×r

S/(2×pi×r) = r + h

Shift r to left side to get h

S/(2×pi×r) - r =h

Therefore h = ( S - 2 pi r^2) / 2 pi r

To learn more about surface area problems click here :

https://brainly.com/question/16226827

#SPJ2

Answer:

9 buses

12 cars

(Step-by-step explanation:

x=bus x+y=21 --> y=-x+21

30x+4y=318 --> y= -30x/4 + 318/4

y=car

x= 9

y=12

:) hope this help

Answer:

i actually dont know my guy, sorry im also stuck on this one.

Step-by-step explanation:

jp

it 2 my favorite person on the world!

u sure are funny

Answer:

1+1=11

Step-by-step explanation:

I'm sure EVERYONE knows that lol

Answer:

A 1/2

Step-by-step explanation:

(2, -1.5) & (4, -0.5)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-0.5 - (-1.5)) / (4 - 2)

Simplify the parentheses.

= (-0.5 + 1.5) / (2)

= 1 / 2

Simplify the fraction.

1/2

This is your slope.

Hope this helps!

Step-by-step explanation:

We can set up an average equation in the form, where x is the last score in the fourth quarter:

[tex]\frac{85 + 88 + 92 + x}{4} = 90[/tex]

[tex]85 + 88+92 + x =360\\\\x = 95[/tex]

She needs at least a 95 on the last quarter to average 90 in all four quarters.

Step-by-step explanation:

diameter = 2 × radius.

15.5 = 2 × r.

r = 15.5 ÷ 2.

r = 7.75.

volume = πr²

v = π × 7.75².

v = 188.7.

I ain't confident about the volume answer but, the diameter answer is correct.

hope it helps. :)

Answer:

-64

Step-by-step explanation:

we should put -2 for j and -1 for k,

Answer:

the answer is 64

Answer:

slope:  [tex]\frac{1}{2}[/tex]

y-intercept: (0,-3)  

Step-by-step explanation:

First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:

[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]

Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].

In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).  

Answer:

30ft

Step-by-step explanation:

Given data

Volume= 360 ft^3

Area= 12 ft^2

We know that the expression for volume is

Volume= Area*Height

Substitute

360= 12*h

h= 360/12

h= 30 ft

Hence the height of the prism is 30ft

Answer:

22

Step-by-step explanation:

6^2=36

36*2=72

6*8=48

72-48=24

24-2=22

I hope this is right

Answer:

C: 1

this answer is c because the line is one the Y intercept of 1

Answer:

The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]

Step-by-step explanation:

Given

[tex]A = 15[/tex] --- area

Required

Find the shortest possible perimeter

Area is calculated as:

[tex]A=l * b[/tex]

This gives:

[tex]l * b = 15[/tex]

Make l the subject

[tex]l=\frac{15}{b}[/tex]

Perimeter is calculated as:

[tex]P =2(l + b)[/tex]

Substitute [tex]l=\frac{15}{b}[/tex]

[tex]P =2(\frac{15}{b} + b})[/tex]

Rewrite as:

[tex]P =2(15b^{-1} + b)[/tex]

Differentiate and minimize;

[tex]P' =2(-15b^{-2} + 1)[/tex]

Minimize by equating P' to 0

[tex]2(-15b^{-2} + 1) = 0[/tex]

Divide through by 2

[tex]-15b^{-2} + 1 = 0[/tex]

[tex]-15b^{-2} = -1[/tex]

Divide through by -1

[tex]15b^{-2} = 1[/tex]

Rewrite as:

[tex]\frac{15}{b^2} = 1[/tex]

Solve for b^2

[tex]b^2 = \frac{15}{1}[/tex]

[tex]b^2 = 15[/tex]

Solve for b

[tex]b = \sqrt{15[/tex]

Recall that: [tex]P =2(\frac{15}{b} + b})[/tex]

[tex]P = 2 * (\frac{15}{\sqrt{15}} + \sqrt{15})[/tex]

[tex]P = 2 * (\sqrt{15} + \sqrt{15})[/tex]

[tex]P = 2 * (2\sqrt{15})[/tex]

[tex]P = 4\sqrt{15}[/tex]

The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

Firstly, we need to get the equation of the line segment

We have the general equation as;

y = mx + b

m is the slope and b is the y-intercept

So for the slope between (9,6) and (-2,-1); we have

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

m = (-1-6)/(-2-9) = -7/-11 = 7/11

Mathematically, when two lines are perpendicular, their slopes have a product of -1

Let the slope of the second line be m

m * 7/11 = -1

7m = -11

m = -11/7

The equation of the second line is;

y = mx + b

y = -11x/7 + b

The line passes through the point (3.5,2.5)

So,

2.5 = -11/7(3.5) + b

2.5 = -5.5 + b

b = 2.5 + 5.5

b = 8

so the y-intercept of the perpendicular bisector is 8

Answer:

152

Step-by-step explanation: