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grandymaker [24]
3 years ago
8

Write an equation in polnt-slope form for the line through the given point with the given slope of (10,-9); m = -2 ​

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

y=mx+b

-2(10)+b=-9

b=11

y=-2x+11

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What is the value of X in the following diagram?
Murljashka [212]

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x = 98 degrees

Step-by-step explanation:

The sum of angles in a pentagon is 540 degrees. You can find this with the formula where n is the number of sides: 180(n-2). This formula will find the angle sum of a polygon. Now, since you know the value of every other angle except X, we can construct the equation 112+100+113+117+x=540

Solving this equation yields x=98 degrees

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3 years ago
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The missing # is 3 & 6

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3 years ago
Which of the following constants can be added to x^2 + 2/3x to form a perfect square trinomial?
Angelina_Jolie [31]
Hello.

A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.

\boxed{\mathsf{x^{2} + \dfrac{2}{3} x}}

a) Adding 1/9:

\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{1}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{1}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2}{3} x \rightarrow it \: is \: a \: perfect \: square \: trinomial}

b) Adding 4/9:

\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{4}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{4}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{2}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{4}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}

c) Adding 4 and 1/9:

\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9} + 4 = x^{2} + \dfrac{2}{3} x + \dfrac{37}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{37}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{\sqrt{37}}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2\sqrt{37}}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}

Hope I helped.
3 0
3 years ago
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