Write an equation of a line that is perpendicular to the line below and passes through the given point

Answers

Answer 1

Answer: a line perpendicular would have the opposite slope, meaning that if you multilied the line of this slope and the new slope, you would get -1

in y=mx+b m=slope and b=yintercept
-1/5 times 5/1=-1 so the new slope is 5
so y=-1/5x+3
the point you want is 2,8 or this equation is true when x=2 and y=8 are true so subsitute and solve for the new 'b'

8=5(2)+b
8=10+b
subtract 10 from both sides
-2=b

the equaqtion is y=5x-2

Answer 2

Answer: When you see an equation in the format:
y = mx + c.
Know that the slope = m.

y = -1/5 x + 3.

Therefore slope, m = -1/5. But for the new line to be perpendicular to this, the new line's slope would be the negative reciprocal of -1/5.

That is using the condition for perpendicularity:
m1* m2 = -1. m1 = -1/5.

Where m2 = new slope of the line.

m2 = -1 / (-1/5) = 5.

So the slope of the perpendicular line is 5.

Using the slope and one point format:

y - y1 = m(x - x1) here (x1 , y1) is the point given (2, 8), x1 = 2 , y1 = 8.

m = 5, the new gradient here.

y - 8 = 5(x - 2)
y - 8 = 5x - 10
y = 5x - 10 + 8
y = 5x -2.

So that's the equation of the perpendicular line passing through the given point.

Related Questions

Twyla Foreman owns a home with a replacement value of $167,500. She insures it for 80 percent of its replacement value. What is the total amount of insurance on Foreman’s home?
Could someone please help me with this?
Solve Ax + By = -C for x.Ox=-By-CАx=-By+COx=By=0
Ralph is buying a lunch special for $6.50 which includes a sandwich, chips, 1pand a soft drink. If he want a dessert which costs $3.50. What would histotal cost be if he buys dessert? *
What is the result of adding these two equations? 5x-9y=1 -7x+2y=-5

3/11 as a decimal using long division

Answers

there are two ways to do this

1.
= 3/11

= 3 ÷ 11

= 0.272727

2.
First off, we'll interpret the fraction bar to mean "divided by." This means that 3/11 is the same as 3 divided by 11.
Second, you have to 6 decimal places in your answer, so we'll write the 3 as 3.000000 instead (a 3 with 6 zeros after the decimal point).
Now, we'll just do what the fraction bar says: divide 3.000000 by 11

Answer:

0.27

Step-by-step explanation:

1/3=0.3

1/10=0.1

3/11=0.27

What is the square root of 10 000

Answers

$√(10,000) = √(100 * 100) =√(100^2) = (100^2)^{(1)/(2)} =100^{2* (1)/(2)} = 100^1 = \boxed{\bf{100}}$

100 is your answer. :)

√10000
=100
(100)²= 100x100=10000

Photo above! How do I find the area of this? It says the answer is 1027ft but whenever I do it I don't get that

Answers

Total area = area of rectangle + area of triangle

area of rectangle = l * w

area of triangle= 1/2 ( b * h )

rectangle- 26 * 31 = 806

triangle- 1/2 ( 26 * 17 ) [ <-- 48 - 31 ] = 221

221 + 806 = 1027 ft squared

2 ways

cut into rectangle and triangle
2 recognize teh trapezoid

cut into rectangle and triangle
area of rectnagle=height times base

are oftrianngle=height times base times 1/2

rectangle=26 times 31=806

triangle

we have to know the base legnth
since the top is 31
and bottom is 48
the extra bit is 48-31=17
base=17
height=26
area=1/2 times 26 times 17=221

add
rectangle+traingle=806+221=1027 square units

other way
area of trapezoid=1/2(b1+b2) times height
b1=31
b2=48
height=26
A=1/2(31+48) times 26
A=1027 squaer units

Cell phone plan A cost $70 per month and comes with a free $500 phone. cell phone plan B costs $50 per month but does not come with the phone. If you buy the $500 phone and choose plan B, how many months is it until your cost is the same as plan A?

Answers

Answer: near 11 months

Step-by-step explanation:

sorry I just in 7th grade

anne has $28.90 more savings than beatrice. 3/5 of beatrice's savings is the same as 1/2 of anne's savings. how much does anne have in savings?

Answers

a=b+28.90
3b/5=a/2
3b/5=(b+28.90)/2
3b/5=b/2+14.45
b/10=14.45
b=144.5
a=144.5+28.90
a=173.4
Anne has $173.40
Beatrice has $144.50

Final answer:

Beatrice has $144.50 in savings and Anne has $173.40 in savings.

Explanation:

To solve this problem, let's assume Beatrice has x dollars in savings. Since Anne has $28.90 more savings than Beatrice, Anne's savings can be represented as (x + 28.90) dollars.

We are also given that 3/5 of Beatrice's savings is the same as 1/2 of Anne's savings. We can write this as:

(3/5)x = (1/2)(x + 28.90)

To solve the equation, we can cross multiply and simplify:

2(3/5)x = x + 28.90

6/5x = x + 28.90

6x = 5x + (5 * 28.90)

6x - 5x = 144.50

x = 144.50

Therefore, Beatrice has $144.50 in savings and Anne has (144.50 + 28.90) = $173.40 in savings.