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White raven [17]
3 years ago
12

Use the distributive property to write each expression as an equivalent algebraic expression (7+a)3

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

(7 + a)3 = 7*3 + a * 3 = 21 + 3a

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Solve for the roots in the following equation. hint: factor both quadratic expressions. (x 4 5x 2 - 36)(2x 2 9x - 5) = 0
OleMash [197]
Hello :
 <span>(x 4 +5x²  - 36)(2x ²+ 9x - 5) = 0</span>

7 0
3 years ago
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35 less than seven times a certain number is fifty-three more than 3 times that number. What is the number?
Dovator [93]

Answer:

70

Step-by-step explanation:

6 0
3 years ago
11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
GrogVix [38]

Part A

<h3>Answer:  h^2 + 4h</h3>

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

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

Part B

<h3>Answer:  h^2 + 16h + 60</h3>

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

6 0
3 years ago
Can it be solve pq(r²+1)-r(p²+q²)
ivann1987 [24]

Answer:

pqr²+pr-rp²+rq²

Step-by-step explanation:

pq(r²+1)-r(p²+q²)

pqr²+pr-rp²+rq²

3 0
1 year ago
Which expression is equivalent to √900f^6/100g^4
krek1111 [17]

Answer:

A

Step-by-step explanation:

c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²

and not 30f something.

the best answer I see is correct is a.

6 0
3 years ago
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