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AnnyKZ [126]
3 years ago
15

8 + 4p = 8(1 + 8p) + 8p A) {-2} B) {0} C) {-5} D) {-15}

Mathematics
2 answers:
Phantasy [73]3 years ago
8 0

Answer:

B) {0}

Step-by-step explanation:

8 + 4p = 8(1 + 8p) + 8p\\\\\mathrm{Expand}\:8\left(1+8p\right):\quad 8+64p\\8+4p=8+64p+8p\\\\\mathrm{Add\:similar\:elements:}\:64p+8p=72p\\8+4p=8+72p\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\8+4p-8=8+72p-8\\\\Simplify\\4p=72p\\\\\mathrm{Subtract\:}72p\mathrm{\:from\:both\:sides}\\4p-72p=72p-72p\\\\Simplify\\-68p=0\\\\\mathrm{Divide\:both\:sides\:by\:}-68\\\frac{-68p}{-68}=\frac{0}{-68}\\\\Simplify\\p=0

weeeeeb [17]3 years ago
7 0

Answer:

I believe the answer is 0

Step-by-step explanation:

I am not sure I did not get any of the listed answers when done by hand but on a calculator to answer is closest to zero. hope this helps

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Answer:

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Step-by-step explanation:

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

= \frac{8}{8 + 4} x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

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Answer:

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