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Fed [463]
3 years ago
14

Ranger was given this expression to simplify. 4(2x – 5) What advice to simplify the expression would you give Ranger? Check all

that apply.
1.) First combine the terms in the parentheses.

2.) This expression can be simplified by using the distributive property.

3.) The 4 will be added to each term inside the parentheses.

4.) The 4 will be multiplied to each term inside the parentheses.

5.) A simplified expression is equivalent to the original expression.
Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer:

i-

Step-by-step explanation:

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The area of a rectangular wall of a barn is 192 sq. Ft. It's length is 8 ft. Longer than twice it's width. Find the length and w
Novay_Z [31]

Answer: length = 24 ft

Width = 8 ft

Step-by-step explanation:

Let L represent the length of the barn.

Let W represent the width of the barn.

The area of a rectangular wall of a barn is 192 sq. Ft. This means that

LW = 192- - - - - - - - - - - - - - -1

It's length is 8 ft longer than twice it's width. This means that

L = 2W + 8

Substituting L = 2W + 8 into equation 1, it becomes

W(2W + 8) = 192

2W² + 8W = 192

2W² + 8W - 192 = 0

Dividing through by 2, it becomes

W² + 4W - 96 = 0

W² + 12W - 8W - 96 = 0

W(W + 12) - 8(W + 12) = 0

(W - 8)(W + 12) = 0

W = 8 or W = - 12

Since the width cannot be negative, then W = 8

L = 192/W = 192/8

L = 24

6 0
3 years ago
The equation x ^ 2 - 2x + y ^ 2 - 4y = 20 defines a circle in the xy-coordinate plane What is the radius of the circle?
Helga [31]

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

{(x - h)}^{2}  +  {(y - k) }^{2}  =  {r}^{2}

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

{x}^{2}  - 2x

we can see that if use -1 as the constant we have

{(x - 1)}^{2}  =  {x}^{2}  - 2x   + 1

doing the same for y

{y}^{2}  - 4y

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

{(y - 2)}^{2}  =  {y}^{2}  - 4y   + 4

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

4 0
3 years ago
If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Ludmilka [50]

Answer:

Step-by-step explanation:

y = k*x                    This is the formula for a direct variation.

  • y = 20
  • x = 4                        Substitute these values into the direct variation

20 = 4 * k                        Divide by 4

20/4 = 4k/4

k = 5

Answer: the constant of variation is 5

7 0
3 years ago
If f (x) = 3x + 1 and g(x) = 2x + 1, what is the value of f (g(2))?
just olya [345]

Step-by-step explanation:

= f( g(2) )

= 3(2x + 1) + 1

= 6x + 3 + 1

= 6x + 4

= 6(2) + 4

= 12 + 4

= 16

f(g(2)) = 16

3 0
3 years ago
What is 25/30 in simplest form
telo118 [61]
5/6 all you do is divide by 5
5 0
3 years ago
Read 2 more answers
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