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Kruka [31]
4 years ago
10

What is an equation of the line that is perpendicular to y=−3/4x+6 and passes through the point (3, 9) ?

Mathematics
1 answer:
Arisa [49]4 years ago
7 0

Answer:

y=4/3x+5

Step-by-step explanation:

Perpendicular means the slope will be the negative reciprocal.

So the slope=4/3

y=4/3x+b

Now, enter the point (3,9) into the equation.

9=4/3(3)+b

9=4+b

b=9-4

b=5

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ratelena [41]

He will need 10.5 turkeys and a very large oven.


6 0
4 years ago
Can someone help me?
Papessa [141]

Answer:

2x - 2y = 24 \\ 2(x - y) = 24 \\ x = 12 + y......eq(1) \\ 4x + 7y =  - 40......eq(2) \\ substituting \: the \: value \: of \: x \: in \: eq(2) \\ 4(12 + y) + 7y =  - 40 \\ 48 + 4y + 7y =  - 40 \\ 11y =  - 40 - 48 \\ y =  \frac{ - 88}{11}  \\ y =  - 8 \\ putting \: the \: value \: of \: y \: im \: eq(1) \\ x = 12 - 8 \\  = 4

Step-by-step explanation:

3x-2y=24......eqi

x+2y=48........eqii

now solving eq i&ii

4x=72

x=72/4

x=18

now putting the value of x in eqii

18+2y=48

2y=48-18

y=30/2

y=15

7 0
3 years ago
A high school track athlete sprints 100 yards in 15 second.
Kay [80]

Answer:

0.00378787866666666666666666666667 mi/s

Step-by-step explanation:

100yards to miles is 0.05681818 miles

0.05681818 miles divided by 15sec is

0.00378787866666666666666666666667 mi/s

6 0
3 years ago
You are going to make three shelves for your father and have one piece of lumber 20 feet long. Your plan is to make the top shel
cupoosta [38]

Answer:

The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet

Step-by-step explanation:

Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.

Therefore:

t = m - 1/2; m = t  + 1/2

Also, b = 2t - 1/2

The total of the three shelves is 20 feet, therefore:

t + m + b = 20

Substituting:

t + t + 1/2 + 2t - 1/2 = 20

4t = 20

t = 20/4

t = 5 feet

m = t + 1/2 = 5 + 1/2 = 5.5 feet

b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet

The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet

4 0
3 years ago
FOR THE LOVE OF GOD PLEASE HELP ME I WILL GIVE 30 points
krok68 [10]

Answer:

Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2).

Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1).

Step-by-step explanation:

The variables have to be the same in both equations in the 2 × 2 system.

All of this should be included

3 0
3 years ago
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