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Elina [12.6K]
3 years ago
8

When 9

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
9 simplified is radical 3 then 2 on the outside make the answer 3
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Calculate the following values:
adelina 88 [10]
F(a)=a^2-5a+7

F(a+h)=(a+h)^2-5(a+h)+7
=a^2+2ah+h^2-5a-5h+7

F(a+h)-F(a)=(2ah+h^2)/h


Factor out h, we will have h(2a+h)/h, the answer is 2a+h
6 0
4 years ago
Y + 1 = -7(x+1) write an equation in slope intercept form
elena-14-01-66 [18.8K]
In slope intercept form this would be equal to y=-7x-8. (remember the 7 is negative!)
3 0
3 years ago
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Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 72
Pie

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

7 0
3 years ago
Consider this expression
Sloan [31]

Answer:

\displaystyle \large{(x + 9)(x - 8)}

The value of a is 9 and b is -8

Step-by-step explanation:

\displaystyle  \large{(x + a)(x  + b) =  {x}^{2}  + (a + b)x + ab}

We need to find two numbers that add up or subtract off to 1.

Then we also use the same two numbers that multiply and get -72.

Let's see:-

  • 9 and -8 seem like correct values.

Because 9+(-8) is 9-8 = 1

And 9(-8) is -72.

Therefore:

\displaystyle \large{ {x}^{2}  + x - 72 = (x + 9)(x - 8)}

The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)

8 0
3 years ago
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Suppose that a rectangle has an area of 54 square meters. Express the perimeter P as a function of the length x of one of the si
Lapatulllka [165]

Answer:

P(x) = 2\left(x+\dfrac{54}{x}\right)

Step-by-step explanation:

The area of the rectangle can be written as:

A = x*h

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

54 = x*h

The perimeter of a rectangle can be written as:

P = 2x+2h

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.

54 = x*h

h=\dfrac{54}{x}

now we can substitute this 'h' into our equation of the perimeter.

P = 2x+2\left(\dfrac{54}{x}\right)

P = 2\left(x+\dfrac{54}{x}\right)

and voila! we have expressed P in terms of x only.

this can be written as P as a function of x as:

P(x) = 2\left(x+\dfrac{54}{x}\right)

6 0
4 years ago
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