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VashaNatasha [74]
3 years ago
12

X^2+X=56 Help please!!!!

Mathematics
1 answer:
stich3 [128]3 years ago
3 0
The value of x is either +7 or -8
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Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing
Cloud [144]

Answer:

See below

Step-by-step explanation:

<u>Sides of the garden</u>

  • 16 feet and 8 feet

<u>New dimensions of the garden</u>

  • 16 + 2x and 8 + x

<u>1. The area of the new garden</u>

  • (16 + 2x)(8 + x) =
  • 2x^2 + 32x + 128

<u>2. The difference in area </u>

  • 2x^2 + 32x + 128 - 16*8 =
  • 2x^2 + 32x

<u>3. x= 2 effect on the area</u>

  • 2*2^2 + 32*2 =
  • 8 + 64 =
  • 72 ft²

<u>4. Area difference = 160</u>

  • 2x^2 + 32x = 160
  • x^2 + 16x - 80 = 0
  • Solving we get positive root of 4 ft

<u>5. Area difference = 4 times</u>

  • 2x^2 + 32x = 128*3
  • 2x^2 + 32x - 384 = 0
  • x^2 + 16x - 192= 0
  • Solving we get positive root of 8 ft

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.
vladimir2022 [97]

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

\frac{zw}{6}= \frac{18}{24}\\&#10;\\&#10;ZW=6*\frac{18}{24}\\&#10;\\&#10;ZW=\frac{18}{4}\\&#10;\\&#10;ZW=4.5\\

Hence ZW=4.5 Inches.

6 0
3 years ago
Express the number of females killed in England as a ratio to the number of males killed in England in the age range of 28-34
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What’s the math equation
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3 years ago
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