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MaRussiya [10]
3 years ago
8

Write the equation of the line in slope-intercept form.

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
Equation of the perpendicular
y= 2x+6
slope of the perpendicular = 2

slope of the req. line = -1/2

equation of the req. line
y - y1 = m(x - x1)
y - 2 = -1/2(x + 4)
2(y - 2) = -1(x + 4)
2y - 4 = -x - 4
2y = -x
y  = (-1/2)x

this is your req. equation of line.
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Find the value of y.
Phoenix [80]

\boxed{y=6\sqrt{3}}

<h2>Explanation:</h2>

For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

\frac{x}{3}=\frac{12}{x} \\ \\ x^2=36 \\ \\ x=\sqrt{36} \\ \\ x=6

But our goal is to find y. Let's call w the height of the small triangle, then:

w=\sqrt{6^2-3^2}=3\sqrt{3}

Applying the concept of ratios again:

\frac{y}{w}=\frac{x}{3} \\ \\ y=w \left(\frac{x}{3}\right) \\ \\ y=3\sqrt{3}\left(\frac{6}{3}\right) \\ \\ \boxed{y=6\sqrt{3}}

<h2>Learn more:</h2>

Right triangle: brainly.com/question/10684799

#LearnWithBrainly

4 0
3 years ago
How many quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution
GarryVolchara [31]

Answer:

2 quarts of 100% antifreeze.

Step-by-step explanation:

5 quarts/ .40 * x/ 1

.40x= 5

x=2

6 0
3 years ago
I do not even know where to begin. Please help.
xenn [34]
F(x) = 2x + 1  when x <= -5
Now -10 is less than -5 so we plug x = -10 into 2x +1:-

f(-10) = 2(-10) + 1 =  -19 answer

Now f(x) = x^2 when  -5< x < 5
x =2  is within this range so f(2) = 2^2 = 4 answer

You can calculate the  other 3  values by a similar method
5 0
3 years ago
Determine the horizontal asymptote for the rational function.
nikklg [1K]

Answer:

The horizontal asymptote is <em>y=1</em> and

The vertical asymptote is <em>x=5</em>

5 0
2 years ago
Read 2 more answers
Help asap pleeassseeeee!!!
natali 33 [55]
Volume of oblique cylinder
= (base area) * height (perpendicular to base)
= (30 &pi; )*m
= 30m &pi; cm^3
6 0
3 years ago
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