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3 years ago

What is an equation of the line that is perpendicular to -x+3y=9 and passes through the point (-3,2)

Mathematics

1 answer:

erastovalidia [21]3 years ago

5 0

Answer:

y=-3x-7

Step-by-step explanation:

the line is currently in standard form (ax+by=c). Let's put it into slope-intercept form (y=mx+b)

-x+3y=9

add x to both sides

3y=x+9

divide by 3

y=1/3x+3

perpendicular lines have slopes that when multiplied, equal -1.

to find the slope (m) of our new line:

1/3m=-1

multiply by 3

m=-3

the slope of the new line is -3

here's our equation so far:

y=-3x+b

we need to find b (y intecept)

since the line passes through the point (-3,2), it should be a solution in the equation (plug it in, and the result is a true statement). We can also use it to find b

so, substitute the pointt into the equation:

2=-3(-3)+b

multiply

2=9+b

subtract

-7=b

so the equation of the line is y=-3x-7

Hope this helps!

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Answer and how to solve this

nata0808 [166]

Step-by-step explanation:

When it says x = something, that basically means to replace the x with whatever it says x equals.

x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1

x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2

x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7

Hope this helps!! (:

5 0

2 years ago

What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2Plus or minus 2 StartRoot 5 EndRoot x = ±6Plus or minus 6

Serga [27]

Question:

What are the solution(s) to the quadratic equation 50 – x2 = 0?

A) x = ±2Plus or minus 2 StartRoot 5 EndRoot

B) x = ±6Plus or minus 6 StartRoot 3 EndRoot

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

D) no real solution

Answer:

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

3 0

3 years ago

Read 2 more answers

The sum of two numbers is 327. One of them is a 3-digit even number and the other is a 2-digit odd number. What is the largest p

IrinaVladis [17]

Answer:

305

Step-by-step explanation:

let the numbers be x and y

let x be the 3 digit even number

let y be the 2 digit odd number

x+y = 327

According to the above sum, x will range from all even numbers between 300 to 316 if to be added to a 2 digit odd number y

y will range from all odd numbers between 11 to 27 if to be added to be added to a 3 digit even number x

To find the largest possible difference, we subtract 11 from 316

This will give us 305 which is the answer.

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2 years ago

What is the length of AC

Zarrin [17]

I am not to sure about this one

5 0

3 years ago

When she arrives at the puppet theater, she must search the entire area for the geocache. On the map, the drawing of the puppet

asambeis [7]

The first thing you should do is observe that the theater is a rectangle.The area of a rectangle is given by
A = l * w
where,
l = long
w = width
Substituting the values we have
A = (1.5) * (0.5) = 0.75 cm ^ 2
Now we must pass this to m ^ 2
we should know that 1m = 100cm. So, we have:
(0.75 cm ^ 2) * ((1m) / (100cm)) ^ 2 = 0.000075 m ^ 2
answer
the area of the current puppet theater is 0.000075 m ^ 2

5 0

4 years ago