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Minchanka [31]
3 years ago
7

What are the solutions of the inequality graph the solutions -12r<-24

Mathematics
1 answer:
givi [52]3 years ago
8 0
When you multiply or divide both sides by a negative in an inequality, flip the sign

I will show 2 ways, 1 with multipy and one with add


1. multiply
divide both sides by -12 and flips sign
r>2


2. add
add 12r to both sides
0<12r-24
add 24 to both sides
24<12r
divide both sides by 12
2<r
r>2
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Do A triangle with sides measuring 12, 16, and 20 is a right triangle?
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3 years ago
X^{2} - 8x + 7 = 0<br> Solve by completing the square. Also can you include steps?
iren [92.7K]

Answer:

{1, 7}

Step-by-step explanation:

Start with x^2 - 8x + 7 = 0.

We want to modify the first two terms to resemble x^2 - ax + b - b, where a is the coefficient (here -8) of the x term and b is the square of half of a.

Here, a = -8.  Half of that is -4.  The square of -4 is 16, and this is the value of b.

Write out x^2 - 8x     as    x^2 - 8x + 16 - 16.  This is the perfect square of -4, added to x^2 - 8x and then subtracted from the result

Then the original equation, x^2 - 8x + 7 = 0, can be rewritten as:

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We want to solve this result for x.  To do this, take the square root of both sides:

x - 4 = ±√9, or x - 4 = ±3.

Adding 4 to both sides, we get:

x = 4 ± 3.  Thus, the solutions are x = 4 + 3 = 7 and x = 4 - 3 = 1.

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