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Find the product : 2p (4p² + 5p + 7)

Ber [7]

<h3>Answer: 8p^3 + 10p^2 + 14p</h3>

Explanation:

The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside

2p times 4p^2 = 2*4*p*p^2 = 8p^3

2p times 5p = 2*5*p*p = 10p^2

2p times 7 = 2*7p = 14p

The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.

6 0

3 years ago

aliyah had some candy to give her four children. she first tooke ten pieces for herself and then evenly divided the rest among h

DIA [1.3K]

Let the original number be "x".
(x-10)/4 = 2

x-10 = 8
x = 18 (original number of pieces of candy.)

6 0

3 years ago

A. The point-slope form of the equation of a line is y ? y1 = m(x ? x1), where m is the slope and (x1, y1) is a point on the lin

Rudiy27

Answer:

A.

$y - 5 = -2(x-6)$

Negative reciprocal gives you the perpendicular slope so negative reciprocal of 1/2 is -2.

Then apply point-slope form.

B. The answer is x = 6.

The midpoint of JK is

$\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) = \left( \frac{8+ 4}{2}, \frac{4 + 4}{2} \right) = \left(6,4\right)$

The line that goes through JK is just a horizontal line $y = 4$ because the y-coordinate does not change. So its perpendicular bisector is the vertical line that goes through the x-coordinate of the midpoint, that is, $x = 6$ .

8 0

3 years ago

Write the multiple of the first even number from 11 to 20

andrew-mc [135]

Answer:

Multiples [10] - 10, 20, 30, 40, 50

Multiples [11] - 11, 22, 33, 44, and 55

Find the Even numbers of these multiples

Multiples [10]

- 10 = Even
- 20 = Even
- 30 = Not Even
- 40 = Even
- 50 = Not Even

10 × 1 = 10
10 × 2 = 20
10 × 3 = 30
10 × 4 = 40
10 × 5 = 50

Multiples [11]

- 11 = Not Even
- 22 = Even
- 33 = Not Even
- 44 = Even
- 55 = Not Even

11 × 1 = 11
11 × 2 = 22
11 × 3 = 33
11 × 4 = 44
11 × 5 = 55
11 × 6 = 66
11 × 7 = 77
11 × 8 = 88
11 × 9 = 99

Step-by-step explanation:

.... I messed up, sorry. I thought that 20 said 11

8 0

2 years ago

HELP ME EVERYONE PLZ

yawa3891 [41]

Answer:

Option D. 23.4 pounds

Step-by-step explanation:

step 1

Find the pieces of glass for 22.5 pounds of copper in the sculpture.

using proportion

$\frac{12}{1}=\frac{x}{22.5} \\ \\x=22.5*12\\ \\x=270\ piece\ of\ glass$

step 2

Find the pounds of bronze used in the sculpture

using proportion

$\frac{6.5}{75}=\frac{x}{270} \\ \\x=270*6.5/75\\ \\x=23.4\ pounds$

7 0

3 years ago