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3 years ago

Convert to slope intercept form 4x+5y=-20

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

8 0

Answer: 4x+5y+5=0

Step-by-step explanation:

4x+5y= -5

4x+5y+5= -5+5

4x+5y+5=0

ArbitrLikvidat [17]3 years ago

5 0

Answer:

y = (-4/5)x - 4

slope = m = -4/5

y-intercept = -4

Step-by-step explanation:

slope-intercept form: y = mx + b

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Isolate the variable, y.

First, subtract 4x from both sides:

4x (-4x) + 5y = -20 (-4x)

5y = -20 - 4x

Next, divide 5 from both sides to isolate the y:

(5y)/5 = (-20 - 4x)/5

y = (-4x - 20)/5

y = (-4/5)x - 4

y = (-4/5)x - 4 is your answer.

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Question 4 (1 point)

Nostrana [21]

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

$f(x) = -16t^2 + 64t + 960$ .....(1)

When it will hit the ground, f(x) = 0

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It is quadratic equation.

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Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

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3 years ago

What is simplest form of sqrt 2 + sqrt 5 / sqrt 2 - sqrt -5? √2 + √5 / √2 - √-5

Leni [432]

Answer:

$\frac{-7-2\sqrt{10}}{3}$

Step-by-step explanation:

we have

$\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}$

Simplify

Multiply the expression by $\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}$

$(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}})(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}})$

Apply difference of squares in the denominator

$\frac{(\sqrt{2}+\sqrt{5})^2}{(\sqrt{2})^2-(\sqrt{5})^2}$

$\frac{2+2\sqrt{10}+5}{2-5}$

$\frac{7+2\sqrt{10}}{-3}$

$\frac{-7-2\sqrt{10}}{3}$

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3 years ago

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