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adelina 88 [10]
2 years ago
7

Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1

Mathematics
1 answer:
777dan777 [17]2 years ago
7 0
Perpendicular = opposite sign and reciprocal slope
Slope would be 3
Y = 3x + b, plug in point
9 = 3(5) + b, b = -6
Solution: y = 3x - 6
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I tried this few times can i get some help
mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

  1. basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
  2. 10y minus 8y gives us 2y.
  3. 22 minus 14 gives us 8

3x+10y=22

<u>-3x-8y=-14</u>

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

\frac{2y}{2}  =  \frac{8}{2}

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

\frac{3x}{3}  =  \frac{  - 18}{3}

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

6 0
3 years ago
Austin buys $10 worth of food for his dog each week. There are 52 weeks in a year.
ololo11 [35]

Answer:

b i think

Step-by-step explanation:

8 0
3 years ago
A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou
Studentka2010 [4]

Answer:

4.5 % alloy

Step-by-step explanation:

Let x = amt of 30% alloy

The resulting total is to be 25 oz, therefore:

(25-x) = amt of 5% alloy:

A typical mixture equation:

.30x + .05(25-x) = .20(25)

.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25

.25x = 3.75

x = 3.75%2F.25

x = 15 oz of 30% alloy required

then

25-15 = 10 oz of 5% alloy:

Check solution

.30(15) + .05(10) = .20(25)

4.5 + .5 = 5

4 0
3 years ago
Find the value of x in the isosceles triangle shown below.
joja [24]
Answer: C. 10

Explanation:

Take half right triangle from the isosceles triangle:

We get side lengths:

12/2 = 6, 8, and x

And use Pythagorean’s theorem to find x:

6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
7 0
3 years ago
Ben is 45 inches tall how tall is he in feet
Debora [2.8K]
3 feet and 9 inches. :-)
4 0
3 years ago
Read 2 more answers
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