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3 years ago

Find the coordinates of p(-2,2)and PQ vector(6,3) find

Mathematics

1 answer:

Natali5045456 [20]3 years ago

8 0

Answer:

A good website to use when you need help with this is called desmos.

Step-by-step explanation:

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The length of the sides of a square measure 2x-5. The length of a rectangle measures 2x, and the width measures x + 2. For what

vladimir1956 [14]

Answer:

$x = 12$

Step-by-step explanation:

Perimeter of a square:

The perimeter of a square of side x is given by:

$P_s = 4x$

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

$P_r = 2(l + w)$

The length of the sides of a square measure 2x-5.

This means that the perimeter of the square is:

$P_s = 4(2x - 5) = 8x - 20$

The length of a rectangle measures 2x, and the width measures x + 2.

This means that the perimeter of the rectangle is:

$P_r = 2(2x + x + 2) = 2(3x + 2) = 6x + 4$

For what value of x is the perimeter of the square the same as the perimeter of the rectangle?

This is x for which:

$P_s = P_r$

$8x - 20 = 6x + 4$

$8x - 6x = 20 + 4$

$2x = 24$

$x = \frac{24}{2}$

$x = 12$

3 0

3 years ago

The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

At the beggining of the year shelby could run 2miles now she can run3.5 whatis the percent gained

Anestetic [448]

Answer:

75% gained

Step-by-step explanation:

75% of 2 is 1.5

8 0

3 years ago

Mike's plant grew 3 inches last week. Lauren's plant grew 2 1/2 times this amount. how many inches did Lauren's plant grow last

soldier1979 [14.2K]

Mike's plant plant height grew by 3 in
Lauren's grew 2 1/2 times of 3 in

So, 2 1/2 times of 3 in
= 2 1/2 x 3
= 5/2 x 3
= 15/2 = 7 1/2 inches

Hope This Helps You;

3 0

4 years ago

Read 2 more answers

If after a 7% tax and a 25% tip, the cost of a $115 dinner will be split among four people, how much does each person owe? Round

777dan777 [17]

115.000 cents / 4 = 287.500 cents
This makes 28.75$ each person

3 0

3 years ago

Find the coordinates of p(-2,2)and PQ vector(6,3) find ​

Find the coordinates of p(-2,2)and PQ vector(6,3) find