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likoan [24]
3 years ago
9

The perimeter of a rectangle is 66 inches. If the length is 3 less than five times the width, find the length and width.​

Mathematics
1 answer:
SashulF [63]3 years ago
8 0

Answer:

  • length: 27 inches
  • width: 6 inches

Step-by-step explanation:

Let w represent the width of the rectangle. The perimeter is twice the sum of length and width so is ...

  P = 2(L + w) . . . . . . equation for perimeter

  66 = 2((5w-3) +w) . . . substitute the given values

  33 = 6w -3 . . . . . . . divide by 2 and collect terms

  36 = 6w . . . . . . . . . add 3

  6 = w . . . . . . . . . . . .divide by 6

  L = 33-6 = 27

The length is 27 inches; the width is 6 inches.

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Type the correct answer in each box.
Vitek1552 [10]

Answer:

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Step-by-step explanation:

<em>Reflection across x-axis</em>

<em>The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.</em>

So,

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2

<em>Reflection across y-axis</em>

<em>The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.</em>

So,

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2

7 0
3 years ago
A line is perpendicular to y = {2/3x + 2/3}
Anna35 [415]

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

3 0
3 years ago
Which graph shows a proportional relationship that passes through the point (2, 1)?
Inga [223]

Answer:

D is the correct answer

8 0
3 years ago
Read 2 more answers
Urgent! Will award brainliest...<br> Factor the following polynomial:<br> <img src="https://tex.z-dn.net/?f=3a%5E%7B2%7D-21a%2B3
umka2103 [35]

Answer:

3 (a-2) (a-5)

Step-by-step explanation:

The first step is to find the GCF. Here, it's 3.

3(a^2-7a+10)

Then, you factor the polynomial in the parenthesis.

To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.

a^2-2a-5a+10

This of this polynomial as 2 problems.

a^2-2a        -5a+10

Then, factor again.

a^2-2a        -5a+10

a(a-2)       -5(a-5)

Then, you keep the factors in parenthesis, and combine the numbers on the outside.

(a-2)(a-5)(a-5)

Since, there are 2 of the same factor, you only need one.

(a-2)(a-5)

BUT REMEMBER!! In the very beginning, we had a 3 that we took out, we STILL need to add that to the final answer. The <u>final answer</u> is:

3 (a-2) (a-5)

7 0
3 years ago
Please help me please or i will fail my test please help
stich3 [128]

Answer:

1: B

Step-by-step explanation:

4 0
3 years ago
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