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svetlana [45]
2 years ago
12

Apply the distributive property to factor out the greatest common factor of all three terms. 24c+36d+18

Mathematics
1 answer:
mihalych1998 [28]2 years ago
7 0

Answer:

GCF = 6

Step-by-step explanation:

24c+36d+18

6(4c)+6(6d)+6(3)

6(4c+6d+3)

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Given the graph below, find PQ
Neporo4naja [7]

Answer:

(-5, -1) = P (2, -5) = Q

Step-by-step explanation:

5 0
2 years ago
Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
2 years ago
Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.
Artist 52 [7]
<span>                                                            Honor roll Not on honor roll Total
Received math class requested        315               64                   379
Did not get math class requested        41               80                   121
Total                                                        356             144                   500 

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.</span>
5 0
2 years ago
25xy=225 convert to polar form
bixtya [17]
\bf x=rcos(\theta)\qquad \qquad y=rsin(\theta)\\\\&#10;-----------------------------\\\\&#10;25xy=225\implies xy=\cfrac{225}{25}\implies xy=9&#10;\\\\\\&#10;rcos(\theta)\cdot rsin(\theta)=9\impliedby \textit{common factor}&#10;\\\\\\&#10;r[cos(\theta)sin(\theta)]=9\implies r=\cfrac{9}{cos(\theta)sin(\theta)}
6 0
2 years ago
Khloe is going to invest in an account paying an interest rate of 7% compounded quarterly. How much would Khloe need to invest,
juin [17]

Answer:

$90,962.66

Step-by-step explanation:

The formula for this is, where V = amount after t years:

V = P(1 + r/n)^nt   where P is the amount invested, r = the rate as a decimal fraction, n is the number of times interest compounded each year and t = the number of years.

Here, V = 340,000, r = 0.07, n = 4 , t = 19 and P is to be found.

340,000 = P(1 + 0.07/4)^(4*19)

340,000 = P( 1.0175)^76

P = 340,000 / (1.0175^76)

P =  $90,962.66

7 0
2 years ago
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