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Dovator [93]
3 years ago
12

Write an equation of the line passing through point P (2,3) that is perpendicular to the time y-4=-2(x+3)

Mathematics
1 answer:
pshichka [43]3 years ago
3 0
Perpendicular lines have a slope that is equal to the negative inverse.
Slope is m=-2 so the new slope would be m=-(-1/2)=+1/2

Then use point slope form y-y1=m(x-x1) to get

y-2=1/2(x-3)

y=1/2x+1/2
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The ratio of the length of a rectangle to its width is 8 to 5. If the longer side of the rectangle is 20ft, what is the length o
choli [55]

Answer: The answer is 12.5 ft.


Step-by-step explanation:  Given that there is a rectangle with ratio of its length to breadth 8 : 5. Also, the longer side of the rectangle is 20 feet. We are to find the length of the shorter side.

Let, '8x' and '5x' be the length and breadth of the rectangle respectively. Since length is the longer side, so we have

8x=20\\\\\Rightarrow x=\dfrac{20}{8}\\\\\\\Rightarrow x=2.5.

Therefore, width, length of the shorter side will be

W=5x=5\times 2.5=12.5~\textup{ft.}

Thus, the length of the shorter side is 12.5 ft.


6 0
3 years ago
Read 2 more answers
If x+6 is an even integer, which one of the following must be an even integer?
Crazy boy [7]
D is the answer to this question
3 0
3 years ago
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the ratio of teacher to learners in a school in oluno is 1:35 .If there are 30 teachers in the school , how many learners are th
miskamm [114]

Answer:

1050

Step-by-step explanation:

There are 30 teachers.

1:35

Multiply each part of the ratio by 30.

1×30:35×30

30:1050

There are 1050 learners.

7 0
3 years ago
What is the area of a rectangular stage that is 48 feet long and 30 feet wide?
zhannawk [14.2K]

The area of the rectangle is 1,440 cm2.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%7C2x-3%7C%5Cleq%209" id="TexFormula1" title="|2x-3|\leq 9" alt="|2x-3|\leq 9" align="absmiddl
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

|2x-3|≤9

so -9≤2x-3≤9

add 3 to each inequality

-6≤2x≤12

divide by 2

-3≤x≤6

3 0
3 years ago
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