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Lubov Fominskaja [6]
4 years ago
15

Which of these points lies on the line described by the equation below? y+8=-4(x+7)

Mathematics
1 answer:
timama [110]4 years ago
6 0
D. (-8,-7) Simplifying<span>y + -8 = 4(x + 7) Reorder the terms: -8 + y = 4(x + 7) Reorder the terms: -8 + y = 4(7 + x) -8 + y = (7 * 4 + x * 4) -8 + y = (28 + 4x) Solving -8 + y = 28 + 4x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = 28 + 8 + 4x</span>
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So the different one is x+1=-5. Have a nice day!! ^^
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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.
Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

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