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3 years ago

13

Gerald and his dog Spike get on the scale together. Their combined weight is 128 pounds. If the ratio of Gerald's weight to Spik

e's weight is 3:1, how much does Gerald weigh?

2 answers:

scZoUnD [109]3 years ago

7 0

Answer:

96lbs

Step-by-step explanation:

g + s = 128

g = 3s

3s + s = 4s = 128

s = 128/4 = 32

g = 3s = 96

Darya [45]3 years ago

3 0

Gerald weighs 96 pounds. Spike weighs 32 pounds.

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timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$y = 2x^{2} - 9x - 56$

$2x^{2} - 9x - 56 = 0$

So

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529$

$x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8$

$x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25

mina [271]

Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

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3 years ago