MATHEMATICS HIGH SCHOOL

What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?

Answers

Answer 1

Answer:

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

Related Questions

Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B.{1,3,5,7,9,11} {1,3,9} {3,9} {3,9,12}
A 1400 sq ft house is advertised for sale at a price of $125,000. What is the cost per square foot?
Donna has 8 CDs that she is going to give away. She lets her best friend choose 2 of the 8 CDs. How many different groups of 2 CDs are possible?
Question 12 of 20 : Select the best answer for the question. 12. Which one of the following is an example of a repeating decimal? A. B. C. D.
PLSHELPILLGIVEMOREIFITSRIGHT

Which expression gives the solutions of -5+2x^2=-6x

Answers

Answer:

The solutions are

$x1=(-6+2√(19))/(4)$

$x2=\frac{-6-2√(19)} {4}$

Step-by-step explanation:

we have

$-5+2x^(2) =-6x$

rewrite the quadratic equation

$2x^(2)+6x-5=0$

The formula to solve a quadratic equation of the form $ax^(2) +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}$

in this problem we have

$2x^(2)+6x-5=0$

$a=2\nb=6\nc=-5$

substitute in the formula

$x=\frac{-6(+/-)\sqrt{6^(2)-4(2)(-5)}} {2(2)}$

$x=\frac{-6(+/-)√(76)} {4}$

$x=\frac{-6(+/-)2√(19)} {4}$

$x1=(-6+2√(19))/(4)$

$x2=\frac{-6-2√(19)} {4}$

-5 + 2x² = -6x
rearrange the equation to the form ax² + bx + c = 0

=> 2x² + 6x - 5

use the quadratic formula to solve for the value(s) of x $-b ± \sqrt{ (b^(2) - 4ac)/(2a) }$

=> $-6 ± \sqrt{ (6^(2) - 4(2)(-5))/(2(2)) }$

=> $-6 ± \sqrt{ (36 - (-40))/(4) }$

=> $-6 ± \sqrt{ (76)/(4) }$

∴ x = $-6 + √( 19) }$ OR x = $-6 - √(19)$

x = - 1.64 ; x = - 10.36

adult tickets cost $10 and children's tickets to a show cost $5. if the number of children's tickets was twice the number of adult tickets, how many of each type of tickets was sold if $800 was collcted in tickets sales? ( make sure you write a legend stating what your variable represents)

Answers

x=amount of children tickes sold
y=amount of adult tickets sold

2 times of children as adult
x=2y

total cost is 800
5x+10y=800
divide both sides by 5
x+2y=160
x=2y
2y+2y=160
4y=160
divie by 4
y=40

x=2y
x=2(40)
x=80

80 children tickets
40 adult tickets

Solve this problem using estimation.The Cimarron Middle School orchestra sold $8720.00 worth of candy bars in 28 days. About how much did they make each day?

Answers

If they sold $8,720.00 worth of candy bars in just 28 days, that means they have approximately sold $311.43 worth of candy bars each day.

The number of bees that visit a plant is 500 times the number of years the plant is alive, where t represents the number of years the plant is alive. What does the expression 500t represent?

Answers

the amount of bees that go to the plant times the amount of years the plant lives

500t represents the number of bees that visit the plant

Three fifths is__________pieces of the whole

Answers

60 pieces of the whole
3/5 = x/100
5*20 = 100
3*20 = 60

Jake mowed 216 sq.yd. of lawn in 3 hr. Ricky mowed 108 sq.yd. of lawn in 2 hr.Can you fill in the values for Ricky?

Ricky’s square yards mowed:

Ricky’s time (hr.):

Answers

Final answer:

To find Ricky's values, set up a proportion and solve for Ricky's square yards mowed and time.

Explanation:

To find the values for Ricky, we can use a proportion. Since Jake mowed 216 sq.yd. in 3 hr, we can set up the proportion as 216/3 = Ricky's square yards mowed/2. To solve for Ricky's square yards mowed, we can cross multiply and divide: 216 * 2 = 3 * Ricky's square yards mowed. Therefore, Ricky's square yards mowed = 432 sq.yd. Next, we can find Ricky's time by setting up another proportion: 216/3 = 432/Ricky's time. Cross multiplying and dividing gives us Ricky's time = 6 hr.

Learn more about Proportion here:

brainly.com/question/32430980

#SPJ3

Answer:

108 Square Yards

2 Hours

Step-by-step explanation:

PLEASE MARK BRAINLIEST

All you do is look at the question and it says he mowed 108 square yards in 2 hours.

Other Questions

Your round-trip drive to school is 3 7/10 miles. How many miles do you drive to and from school in 5 days?

Unknown g (x) = ax + b and g (g (x)) = 16x - 15. Calculate the value of a and b.

What is the given equation in logarithmic form of 7^4=2,401?

Find the value of x.pls help will mark brainliest