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frosja888 [35]
3 years ago
5

The length of a rectangle is 2 meters less than 2 times the width. The perimeter is 20 meters. Find the width.

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
The equation you'd make would be (2x-2)+(2x-2)+x+x=20 because the length is 2 m less than the width (x). To simplify, it'd be 6x-4=20 because you combine like terms. You then move the -4 over to the 20 to make it 6x=24. The final answer is 4 meters.
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Add 7 plus 8, then add a to the result. Write an expression for the sequence of operations described.
Ipatiy [6.2K]

Answer:

(7 + 8) + a is your answer

4 0
2 years ago
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
Hi! 6 questions, find the slope of the line through the given points, ty! They should be practice questions
denis23 [38]

Answer:

3. undefined (vertical line)

4. 1

7. -4

8. 3

11. undefined (vertical line)

12. -1/3

Step-by-step explanation:

You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)

3. (-4 - (-2)) /  (6-6)  denominator is 0 here so the slope is undefined (vertical line)

4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1

7. (1 - (-7)) / (2 - 4) = 8 / -2 = -4

8. (-1 - 5) / (0 -2 ) = -6 / -2 = 3

11. (3 - 0) / (-6 - (-6)) = 3 / 0 = undefined (vertical line

12. (2 - 3) / (-5 - (-2) = 1 / -3 = -1/3

7 0
2 years ago
angelique says that finding the absolute value of a number is the same as finding the opposite of the number. For example |-5|=5
olga2289 [7]
So, Angelique took away a a number from the two numbers and did not replace it with the correct number. So, this should be 1-51=50. Hope I helped! :)
6 0
3 years ago
How do i find the length to the indicated segment?
In-s [12.5K]

Answer:

does the question have a picture

8 0
3 years ago
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