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3 years ago

Which expression is equivalent to the expression below? p+p+p+p+p+p+q+q+q+q p+p+p+p+p+p+q+q+q+q

Mathematics

2 answers:

Likurg_2 [28]3 years ago

8 0

I am not sure if this is the type of expression that the question is asking for, but it could be 12p + 8q :)

Elenna [48]3 years ago

8 0

Answer:

12p + 8q

Step-by-step explanation:

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Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

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Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

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Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

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2 years ago

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Answer:

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Let the dog's initial weight be d.

Then, one year later, the dog weighs 3.73 lb less, and thus weighed d - 3.73 lb.

During the next year, the dog gained 1.47 lb, so now weighs d - 3.73 + 1.47 lb, or

d - 2.26 lb. This indicates a total weight loss of 2.26 over these two years.

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