3 years ago

How to solve these problems & what's the answer. Explain!

1 answer:

4 0

55)
slope = 1, b = -1
equation
y = x -1

56)
slope = (-3+4)/(1) = 1
b = -4
equation
y = x - 4

57)
slope = (3+1)/(1-0) = 4
b = -1
equation
y = 4x - 1

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD =4, BD =6, what is the length of DC

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Answer:

$AC=5$

Step-by-step explanation:

From the question we are told that:

Dimensions

$AD=4\\BD=6$

Generally the equation for these similar right triangle is mathematically given by

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$AB^2=BD^2+AD^2$

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Therefore

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3 years ago

What is the equation of a line that has a slope of 4/5 and passes through the point (-2,4)?

SOVA2 [1]

Answer:

y = $\frac{4}{5}$ x + 5 $\frac{3}{5}$

Step-by-step explanation:

Let's do it in slope-intercept form, it will look like this:

m = slope

b = y -intercept

To find our equation we will plug in the slope, plug in the point given, and solve for b.

y = mx + b

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4 = $\frac{4}{5}$ (-2) + b

4 = $-\frac{8}{5}$ + b

5 $\frac{3}{5}$ = b

Plug the b into our original equation, and there is our answer!

y = $\frac{4}{5}$ x + 5 $\frac{3}{5}$

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