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2 years ago

The side lengths of a rectangle are described as (2x−3) inches and (5x+7) inches.

Mathematics

1 answer:

anastassius [24]2 years ago

7 0

Answer:

(a) 10x^2−x−21

Step-by-step explanation:

The area of a rectangle is given by the formula ...

A = LW . . . . . where L is the length, and W is the width

The area of the given rectangle will be ...

A = (2x -3)(5x +7)

This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.

A = 2x(5x +7) -3(5x +7)

= (2x)(5x) +(2x)(7) -3(5x) -3(7)

= 10x^2 +14x -15x -21

A = 10x^2 -x -21

The expression 10x^2 -x -21 represents the area of the rectangle in square inches.

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The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

Gemiola [76]

Answer:

x² + (y-74)² = 4900

Step-by-step explanation:

Circle equation: (x-h)² + (y-k)² = r²

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

h = 0
k = 74 (the radius + 4 ft.)
r = 70

So plugging those into the equation of circles, we get the answer above.

7 0

3 years ago

Solve using quadratic formula.

Kazeer [188]

Answer:

Step-by-step explanation:

Just use the quadratic formula

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3 years ago

If m 1 = 140 and m 3 = 50, what is m 5

dolphi86 [110]

The answer is: m5 = -40.

7 0

3 years ago

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago

Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle

nikklg [1K]

Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

8 0

2 years ago

Read 2 more answers