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Elan Coil [88]
3 years ago
9

X-3/2=x+8/6 solve the proportion

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

x = 17/2

Step-by-step explanation:

x-3        x+8

------ = ------------

2               6

Using cross products

(x-3) *6 = 2 (x+8)

Distribute

6x - 18 = 2x+16

Subtract 2x from each side

6x-2x-18 = 2x-2x+16

4x-18 = 16

Add 18 to each side

4x-18+18 = 16+18

4x = 34

Divide each side by 4

4x/4 = 34/4

x = 17/2

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11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
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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.

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