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Y_Kistochka [10]
4 years ago
6

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a

rea expression completely. Show your work.
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Mathematics
1 answer:
Debora [2.8K]4 years ago
4 0

Answer:

What am I supposed to be solving please

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You have decided to cash in all of the coins you have been saving for the summer. In total you have $7.20. You only have dimes a
muminat

Answer:

The number of quarters in total = 16 quarters

The number dimes = 32 dimes

Step-by-step explanation:

The given information are;

The total amount of money in held = $7.20

The denomination of the money held = Dimes and quarters

The number dimes = 2 × The number of quarters

Given that a dime = 10 cents = $0.1

A dollar = 25 cents = $0.25

Let the number of quarters in the sum of money = X

Therefore, we have;

X × $0.25 + 2 × X × $0.1 = $7.20

X × $0.25 + X × $0.2 = $7.20

X × $0.45 = $7.20

X = $7.20/$0.45 = 16

Therefore, the number of quarters = 16

The number of quarters in total = 16 quarters

The number dimes = 2 × The number of quarters = 2 × 16 = 32 dimes

The number dimes = 32 dimes.

8 0
3 years ago
Which situation explains how a credit becomes a debt?
mylen [45]
The answer is A because its the only answer that explains the process of credit becoming debt correctly.
5 0
3 years ago
Read 2 more answers
Mrs. Shinavar has 3 pairs of pants, 10 shirts, and 4 pairs of shoes. How many different
allochka39001 [22]

Answer:

20 different outfit she can make

Step-by-step explanation:

girls always do this when going out mix n match

8 0
3 years ago
The sum of the base and height of a triangle is 14 cm. Which of the following equations could be used to find the maximum area o
Montano1993 [528]

Answer:

B

Step-by-step explanation:

Let the base of the triangle be <em>b</em> and the height be <em>h</em>.

The sum of the base and height is 14. Thus:

b+h=14

Recall that the area of a triangle is given by:

\displaystyle A=\frac{1}{2}bh

From the first equation, solve for either variable:

h=14-b

Substitute:

\displaystyle A=\frac{1}{2}b(14-b)

Distribute:

\displaystyle A=\frac{1}{2}(14b-b^2)

Distribute:

\displaystyle A=-0.5b^2+7b

Let <em>b</em> = <em>x</em>. Hence:

A=-0.5x^2+7x

Therefore, our answer is B.

8 0
3 years ago
Please answer soon. Include Statement and Reason if possible.
Zigmanuir [339]
<h3>Answer:  AC = sqrt(21)/2</h3>

====================================================

Explanation:

Triangle CDA is congruent to triangle CDB. We can use the HL (hypotenuse leg) congruence theorem to prove this. This only works because we have two right triangles.

Since CDA and CDB are congruent, this means their corresponding pieces are the same length. Specifically AD = DB, so

AD+DB = AB

AD+AD = 3

2*AD = 3

AD = 3/2 = 1.5

For triangle CDA, we have AD = 3/2 = 1.5 and CD = sqrt(3). We can use the pythagorean theorem to find the missing side AC

a^2 + b^2 = c^2

(AD)^2 + (CD)^2 = (AC)^2

(3/2)^2 + (sqrt(3))^2 = (AC)^2

9/4 + 3 = (AC)^2

(AC)^2 = 9/4 + 3

(AC)^2 = 9/4 + 12/4

(AC)^2 = 21/4

AC = sqrt(21/4)

AC = sqrt(21)/sqrt(4)

AC = sqrt(21)/2

This is the same as writing (1/2)*sqrt(21) or 0.5*sqrt(21)

5 0
4 years ago
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