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Andrews [41]
3 years ago
14

What is the slope of the line perpendicular to: y= −1/3x −5

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer

1/3

Step-by-step explanation:

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Create a system of equations that has a solution of (1, 2)
Rus_ich [418]
Two equations could be y=2x and y=4x-2
8 0
3 years ago
Solve for a:<br>a + 1 &gt; 7​
g100num [7]

Answer:

a>6

Step-by-step explanation:

1) Subtract 1 from both sides.

a>7-1

2) Simplify 7 - 1 to 6.

a>6

<u>Therefor, the answer is </u><u>a > 6</u>.

8 0
3 years ago
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If your car used 19.2 gallons of gas to go 1293.6 miles, how many miles per gallon (mpg) did the car get?
Anna007 [38]
G=m/x
G-gallons
m-miles
x-miles per gallon
19.2= 1293.6/x
x=1293.6/19.2
x= 67.375mpg
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5 0
3 years ago
What equation best models this data? (Use y to represent the population in millions, and t to represent the year, assuming that
lapo4ka [179]

Answer:

y = 2.31x + 309.35

Step-by-step explanation:

Whenever you are checking for a best fitting equation you want to check if it has a constant slope.  If it does then the relation is linear and super easy.

So, since the t values are increasing by the same amount you want to see if the y values are  too.  And they are, each population entry is increasing by 2.31, this is the slope.  

Also, keep in mind you can caluclate slope with the equation \frac{y_2-y_1}{x_2-x_1}  here x is replaced by t though.

Now, since we know it's linear and we know the slope we can find the equation with the formula  y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31

I am just going to use the first point.  so x1 = t1 = 0

y - 309.35 = 2.31(x-0)

y = 2.31x + 309.35

Let me know if there was something you didn't understand.  

5 0
3 years ago
Select the correct answer from each drop-down menu. A system of equations and its solution are given system A x-y=7 -3x+9y=-39 s
galina1969 [7]

Answer:

Step-by-step explanation:

x-y=7

-3x+9y=-39

Divide the second equation by 3

-x +3y = -13

Add this to the first equation

x-y=7

-x +3y = -13

----------------------

0x +2y = -6

Divide by 2

2y/2 = -6/2

y = -3

Now find x

x-y = 7

x -(-3) = 7

x+3 = 7

Subtract 3 from each side

x = 4

(4,-3)

Or by substitution

x-y=7  

solve for x

x = 7+y

-3x+9y=-39

Substitute y+7 in for x

-3(7+y) +9y = -39

Distribute

-21 -3y +9y = -39

Combine like terms

-21 +6y = -39

Add 21 to each side

6y = -18

4 0
3 years ago
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