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Readme [11.4K]
3 years ago
13

What is an equation of the line that contains the point (3,-1) and is perpendicular to the line whose equation is y=-3x+2

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer:

Equation of the line: 3y=x+10

Step-by-step explanation:

If an equation of a line is perpendicular, its gradient will be such that: m_1 \times m_2 = -1

Since the gradient /slope of the given equation can be inferred as -3, the gradient of the perpendicular line will be \frac{1}{3}.

Coordinates of a point on the line are (3,-1)

(y-y_1) = m(x-x_1)\\\\(y-3) = \frac{1}{3} (x+1)\\\\3(y-3) = (x+1)\\3y -9= x+1\\3y = x+1+9\\3y = x+10

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20 points: <br> happy valentines
jeka57 [31]

Answer:

A. 4(x + 8) = 56

Step-by-step explanation:

the correct equation would be 4(x + 8) = 56

because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday

$4 = number of dollars per hour

$56 = total on Saturday and Sunday

8 hours = Number of hours babysat on Sunday

x = hours spent on Saturday

4(x + 8) = 56

Step 1: Simplify both sides of the equation.

4(x + 8) = 56

(4)(x) + (4)(8) = 56(Distribute)

4x + 32 = 56

Step 2: Subtract 32 from both sides.

4x + 32 − 32 = 56 − 32

4x = 24

Step 3: Divide both sides by 4.

4x/4 = 24/4

x = 6

To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is

6(4) + 8(4) = 56

24 + 32 = 56

56 = 56

or you could substitute the answer in the problem

4(6 + 8) = 56

Distribute

24 + 32 = 56

Simplify

56 = 56

6 0
3 years ago
(08.01 mc) sue wants to know how many families in her small neighborhood of 50 homes would volunteer to help at a neighborhood a
Pani-rosa [81]

Answer:

Yes, this is a valid inference because she took a random sample of the neighborhood.

Step-by-step explanation:

As we can see, Sue's survey was perfectly random and without any prejudice.

18% of the families, according to her research, would volunteer at the shelter. According to her, 18% of the local households should be required to volunteer at the animal shelter.

Therefore, given that she chose a representative sample of the area, her conclusion is valid.

4 0
2 years ago
What will be the unit digit of the square of 7992​
Alina [70]

Answer:

4

Step-by-step explanation:

Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.

7 0
3 years ago
The cost of a jacket was originally 40$ It was on sale for 20% how much did they save
ASHA 777 [7]

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

7 0
3 years ago
Read 2 more answers
The sum of 9 and a number is less than 12. Which of the following
Fofino [41]

Answer:

9+x<12

Step-by-step explanation:

add 9 to an unknown number.

9+x

use the < less than symbol (instead of an equal sign) and write 12.

3 0
3 years ago
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