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2 years ago

Find the equation of the line. Through (-11, -1); perpendicular to y=15.

Mathematics

2 answers:

Harrizon [31]2 years ago

7 0

Answer:

x = - 11

Step-by-step explanation:

y = 15 is a horizontal line parallel to the x- axis

a perpendicular line must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

the line passes through (- 11, - 1 ) with x- coordinate of - 11 , then

x = - 11 ← equation of perpendicular line

Semmy [17]2 years ago

6 0

Answer:

x = -11

Step-by-step explanation:

The line y = 15 is a horizontal line to the x-axis passing which passes through x = 0, y = 15

The line perpendicular to y = 15 passing through (-11, -1) is a vertical line where x = -11 for all values of y including -1

So the equation is x = -11

See attached graph

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Fynjy0 [20]

Answer:

5 cents each

Step-by-step explanation:

1.00 $ is equal to 100 pennies, so 100 ÷ 20 is 5, to check 5 cents times 20 is 100 cents or 1.00 $

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3 years ago

P (6,6) y=2/3x

matrenka [14]

Answer:

$y = -\frac{3}{2}x+15$

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

$y = \frac{2}{3}x$

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

$y = \frac{2}{3}x$

Now, we compare the given equation by standard form $y = mx +c$

So, slope of the line $m_{1} = \frac{2}{3}$ , and

y-intercept $c=0$

We know that the slope of the perpendicular line $m_{1}\times m_{2} = -1$

$m_{2}=-\frac{1}{m_{1}}$

$m_{2}=-\frac{1}{\frac{2}{3} }$

$m_{2}=-\frac{3}{2}$

So, the slope of the perpendicular line $m_{2}=-\frac{3}{2}$

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

$y=mx+c$

Substitute point $P(x_{1}, y_{1})=P(6, 6)$ and $m = m_{2}=-\frac{3}{2}$

$6=-\frac{3}{2}\times 6 +c$

$6=-3\times 3 +c$

$c=6+9$

$c=15$

So, the y-intercept of the perpendicular line $c=15$

Using point slope formula.

$y=mx+c$

Substitute $m = m_{2}=-\frac{3}{2}$ and $c=15$ in above equation.

$y = -\frac{3}{2}x+15$

Therefore: the equation of the perpendicular line $y = -\frac{3}{2}x+15$

8 0

3 years ago

A one day trip to new york, mary spent $6.25 for breakfast and 8.95 for lunch. She can spend no more than an average of $8.50. H

zysi [14]

Mary spent $10.30 on dinner to stay in budget.

Step-by-step explanation:

Amount spent on breakfast = $6.25

Amount spent on lunch = $8.95

Amount spent on dinner = x

Average = $8.50

Average = $\frac{Sum\ of\ values}{No.\ of\ values}$

$8.50 = \frac{6.25+8.95+x}{3}\\8.50=\frac{15.20+x}{3}$

Multiplying both sides by 3

$8.50*3=\frac{15.20+x}{3}*3\\25.50=15.20+x\\25.50-15.20=x\\x=10.30$

Mary spent $10.30 on dinner to stay in budget.

Keywords: Average, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

What is 5a*2 -6a+7a*2+3a-2+8a+7= <br> Distribute and combine like terms

andrey2020 [161]

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3 years ago

Read 2 more answers

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nikdorinn [45]

B is the answer because 12 divided by 6 is 2 and 18 divided by 6 is 3

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3 years ago