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Answer:

x = 12

length = 4 cm

width = 20 cm

Step-by-step explanation:

a = lw

Plug in the givens

80 = (x - 8)(x + 8)

Multiply

80 = x^2 - 64

Add 64 to both sides

144 = x^2

Take the square root of both sides

x = ±12

(The negative root is extraneous since the dimensions can not be negative)

x = 12

length = x - 8 = 4 cm

width = x + 8 = 20 cm

Step-1 : Multiply the coefficient of the first term by the constant   3 • -20 = -60  

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -11 .

     -60    +    1    =    -59  

     -30    +    2    =    -28  

     -20    +    3    =    -17  

-15    +    4    =    -11  

                           That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  4  

                    3x2 - 15x + 4x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (3x+4)  •  (x-5)

            Which is the desired factorization

Answer:

3 out of 5

Step-by-step explanation:

it says it in the question so say the max games is 6 one part 1 less as max witch is the motorcycle-racing games if it only has 3 then its really just 3 out of 5 so really that should be it. im not 100% sure so if im wrong please tell meme

Answer:

77/12

Step-by-step explanation:

11×7/ 4×3

77/4×3

=77/12

Answer:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Step-by-step explanation:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Answer:

The first piece of information you need is the slope number and the second piece of information you need is the y intercept

Answer:

57p

Step-by-step explanation:

so 1 pound is just 1.00 so

1.00-0.43=0.57

so terry will get 57p change

[tex] \: \: \: \: \: [/tex]

[tex](x,y) = ( - 8,0)[/tex]

[tex] \: \: \: \: [/tex]

Answer:

what do you need help with

Answer:

Step-by-step explanation:

First Pair.

If you divide the top equation by 3 you get

x + 2y = 12

x + y = 7          From that I get that y = 5

Second pair

Do the same thing to the top equation only this time divide by 6

x + 2y = 4                

x + y = 7

If you subtract again you get y = - 3

Answer:  14.5185185185

11 1/3 + 10 5/9 - 7 10/27 = 392/27 = 14 14/27 ≅ 14.5185185

Answer:

X=4

Step-by-step explanation:

Let's make an equation,

7/4 ÷ 14 = x ÷ 3

We can cross multiply

7/4 * 32 = x * 14

Now we have 56 = 14x

Divide both sides by 14

56 ÷ 14 = 4, 14x ÷ 14 = x

4 = x

x = 4

Answer:

you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:

Answer:

the statement is not reversible

Step-by-step explanation:

Hi there!

We are given the statement "if x=3, then x²=9"

In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9

Reversing the statement would make it so that q is first, then p is after.

In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"

This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways

So we'll need to test if the following statement "if x²=9, then x=3" is true

If you subtract 9 from both sides, x²=9 becomes this equation:

x²-9=0

Using the square of differences formula, where x is a and 3 (square root of 9) is b:

(x-3)(x+3)=0

Now using zero product property:

x-3=0

Add 3 to both sides

x=3

AND:

x+3=0

Subtract 3 from both sides

x=-3

We see that the answers from this equation are x=3 and x=-3.

*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:

If x=3:

(3)²=9

(3)(3)=9

9=9

If x=-3:

(-3)²=9

(-3)(-3)=9

9=9

Hence, the statement doesn't work in the converse

The option "the statement is not reversible" is not the answer.

Hope this helps!

Answer:

The car loses $5,635 every year. Multiply 24,500 by 23% (0.23)

Answer:

13

Step-by-step explanation:

Use the distance formula to solve for the distance between two points.

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

Plug in your coordinate points.

[tex]d=\sqrt{(7-(-5))^2 + (2-7)^2[/tex]

[tex]d=\sqrt{(12)^2 + (-5)^2[/tex]

[tex]d=\sqrt{144 + 25[/tex]

[tex]d=\sqrt{169[/tex]

d= 13

The value of x from the proportion relation is x = 1

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides

Given data ,

Let the proportion equation be represented as A

Now , the equation will be

Substituting the values in the equation , we get

x / 0.25 = 6 / 1.5

On simplifying the equation , we get

Multiply by 0.25 on both sides of the equation , we get

x = ( 6 x 0.25 ) / 1.5

On further simplification , we get

x = 6/6

x = 1

Therefore , the value of x = 1

Hence , the equation is x = 1

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Answer: Reflection

Step-by-step explanation: reflection: when a figure flips over a line

Answer:

1in x 2 + 1 in =3in

2 times 1 is 2 + 1 equals 3

Answer:

111.6

Step-by-step explanation:

6x93/5=111.6

Answer:

B

Step-by-step explanation:

3/9 is the same as 1/3.

It can't be D since 5/12 isn't 1/3.

It can't be A since 2/3 and 3/3 don't equal 1/3.

It can't be C since everything listed is equal to 2/3.

Answer:

2) f(3) = 2(3)+4

Step-by-step explanation:

Answer:

y = 1/3

Step-by-step explanation:

[tex]2x-9y=11\\\\2(7)-9y=11\\\\14-9y=11\\\\-9y=-3\\\\y=\frac{1}{3}[/tex]

2 1/5

Step-by-step explanation:

2(7)-9y=11

14-9y=11

Divide both sides by the difference of 14 and 9y

11/5y ; y=2 1/5

That would be linear because its going at a constant rate of change

Answer:

It should be 24

Step-by-step explanation:

Sorry if this is wrong

Step-by-step explanation:

Separate it into 2 figures.

the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.

3 × 8 = 24

5 × 4 = 20

20 + 24 = 44

The area of the figure is 44 square meters.

Step-by-step explanation:

2.5m is the answer god bless you make me bfai list

The required height would be 2 meters in the given cylinder.

A cylinder's surface area is defined as the amount of specific relevance by the horizontal plane of the cylinder's bases and the curved surface of the cylinder. The overall surface area of the cylinder includes the area of the cylinder's two circular bases as well as the area of the curving surface.

The surface area of the cylinder is: A = 2πr(r+h)

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

The surface area of a cylinder is 50.24 m² and its radius is 2 m.

⇒ A = 2πr(r+h)

Here A = 50.24 m² and r = 2 m

⇒ 50.24 = 2(3.14)(2)(2+h)

⇒ 50.24 = (12.56)(2+h)

⇒ 50.24 /(12.56) = (2+h)

⇒ 4 - 2 = h

Therefore, the required height would be 2 meters in the given cylinder.

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The question seems to be incomplete the correct question would be

The surface area of a cylinder is 50.24 m² and its radius is 2 m. What could its height be?

Answer:

8 * 6 * 2 = 96

Step-by-step explanation:

It's a multiplication problem. 8 * 6 = 48 * 2 = 96

The rectangular prism is 96m.

Answer: Your x value would be 12 and your y value would be 128

X = 12

Y = 128

Answer:

6.02

Step-by-step explanation:

Answer:

x=-12

Step-by-step explanation

1.3x+3.9-12.4=-24.1

1.3x+3.9=-11.7

1.3x=-15.6

x=-12

Answer:

If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.

Step-by-step explanation:

Bill is 42, while Kevin is 14 years old

Represent Bill's age with B, and Kevin's age with K.

So, we have the following equations

B = 3K and B = 28 + K

Substitute 3K for B in the second equation

[tex]3K = 28 + K[/tex]

Collect like terms

[tex]-K + 3K = 28[/tex]

[tex]2K = 28[/tex]

Divide both sides by 2

[tex]K = 14[/tex]

Substitute 14 for K in the first equation

[tex]B =3 \times 14[/tex]

[tex]B =42[/tex]

Hence, Bill is 42, while Kevin is 14 years old

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