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2 years ago

Function operations and composition g(a)= 4a +4 h(a)= -4a + 5 Find (g + h)(a)

Mathematics

1 answer:

poizon [28]2 years ago

3 0

Answer:

(g + h)(a) = 9

Step-by-step explanation:

g(a)= 4a +4

h(a)= -4a + 5

(g + h)(a)

We add the functions

(g + h)(a) = 4a +4 + -4a + 5

Combine like terms

(g + h)(a) =0a +9

(g + h)(a) = 9

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4 years ago

What is the area of the given triangle?

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Answer: 12 square units

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2 years ago

GUYS I NEED HELP ASAP

vovangra [49]

Answer:

$A=2400ft$

Step-by-step explanation:

A rectangle is a closed planer quadrilateral with four right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:

$Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height$

The ectangular playground is 40 feet wide, so:

$w=40ft$

Therefore:

$Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h$

Solving for h:

$2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft$

The area of a rectangle is equal to the product of two of its contiguous sides, hence:

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3 years ago

A circle is drawn inside a square so its circumference touches each of the four sides of the square. If the area of the circle i

Snowcat [4.5K]

Answer:

The length of the sides of the square is approximately 11.239 centimeters.

Step-by-step explanation:

Since the circle is inscribed in the square, the length of each side of the square ( $l$ ), in centimeters, is equal to the length of the diameter of the circle ( $D$ ), in centimeters. The area of the circle ( $A_{c}$ ), in square centimeters: