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2 years ago

Write an equation for a line that is perpendicular to the line 8x-4y=12 and passes throught the origin

Mathematics

1 answer:

scoundrel [369]2 years ago

3 0

Answer:

y= - $\frac{1}{2}$ x

Step-by-step explanation:

First, let's put the line in y=mx+b form

8x-4y=12

Subtract 8x over

-4y= -8x+12

Then divide everything by -4

y=2x-3

To find the perpendicular slope, negate the slope and flip the numerator and the denominator

Original Slope: 2/1

Flip: 1/2

Negate: -1/2

Then, use the point slop formula to find the equation of the line.

(y- $y_{1\\}$ )=m(x- $x_{1}$ )

Insert (0,0) in for $x_{1} y_{1}$ and -1/2 in for m

y-0= -1/2(x-0)

Distribute the -1/2

y-0= -1/2x+0

Add the 0 over

y= -1/2x

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Which of the following theorems verifies that LMN = ABC

SpyIntel [72]

Answer:

D. LA

Step-by-step explanation:

The diagram shows two right triangles having a corresponding acute angle each which are congruent to each other. Also, the leg in ∆LMN is also congruent to the corresponding leg in ∆ABC.

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3 years ago

Can negative intigers be turned into a fraction

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3 years ago

Read 2 more answers

Write the slope intercept form that satisfies the following conditions

Olin [163]

$y = 3x - 13$

Step-by-step explanation:

The line will have the same slope as the given line, which is m = 3. Therefore, the equation of the line in its slope-intercept form is

$y = 3x + b$

Next we need to solve for b by plugging in the coordinates of the given point:

$(-4) = 3(3) + b \Rightarrow b = -13$

So the equation of the line is

$y = 3x - 13$

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2 years ago

Do not answer ...........

mixas84 [53]

Answer:

sorry abs

Step-by-step explanation:

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3 years ago

A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud

mafiozo [28]

<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

4 0

3 years ago