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3 years ago

Write the expression as a product of polynomials: a(p–q)+q–p

Mathematics

1 answer:

givi [52]3 years ago

7 0

Answer:

(p - q) (a - 1)

Step-by-step explanation:

To change q - p as p - q we pull out -1So q - p becomes

-1(p - q)a(p–q)+q–p

a(p–q) -1(p - q)

p -q is in common so we factor out

p-q(p - q) (a - 1)

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Length A is 4 ft. after a dilation is performed length B is 7ft. what was the scale factor used?

kogti [31]

1.75

4 x 1.75 = 7 so that is the answer

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2 years ago

Find the measure of each angle in the triangle.

ValentinkaMS [17]

Answer:

x=26°

Step-by-step explanation:

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4x-14=90

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x=26°

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2 years ago

Which of the following is the symbol for parallel lines AB and XY?

igor_vitrenko [27]

Answer

A is the symbol for parallel lines AB and XY.

Explanation

B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.

C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.

Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.

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2 years ago

Please help with 11c!?

Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

$F=P(1+r)^t$

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

$F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t$

To solve exponentials, we can take Natural Log (Ln) of both sides:

$2=(1.08)^t\\Ln(2)=Ln((1.08)^t)$

Using the rule shown below we can simplify and solve:

$Ln(a^b)=bLn(a)$

We can write:

$Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064$

To the nearest year, that would be about 9 years

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2 years ago

Two hundred sixty students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is

damaskus [11]

This is a hard question because usually boys prefer apple juice

7 0

2 years ago

Read 2 more answers