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pychu [463]
4 years ago
7

What is the factorization of the trinomial below? -x2+ x + 42

Mathematics
1 answer:
Greeley [361]4 years ago
8 0

Answer:

-(x + 6)(x - 7)

Step-by-step explanation:

The expression that we have can also be expressed in the following way:

- (x ^ 2 - x - 42)

Now to factorize we must find two numbers that multiplied by -42 and the sum of these numbers by -1.

these numbers are: -7 and 6

-7 * 6 = -42

-7 + 6 = -1

Thus:

- (x + 6) (x - 7)

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find the value of k so that the lines that pass through the following points are parallel: line 1: (0,3) and (-2,4) and line 2:
slamgirl [31]

For lines to be parallel, the slopes have to be the SAME.

To find the value of k, you can first find the slope of line 1 using the slope(m) formula, and plug in the points:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{4-3}{-2-0}

m = \frac{1}{-2}


Now that you know the slope, you can use the slope formula to find k by plugging in what you know:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

-\frac{1}{2} = \frac{7-(-1)}{5-k}  Multiply (5 - k) on both sides

-\frac{1}{2} (5 - k) = 7 - (-1)  Multiply -2 on both sides

5 - k = -2(7 + 1)

5 - k = -2(8)

5 - k = -16 Subtract 5 on both sides

-k = -21 Divide -1 on both sides

k = 21

6 0
4 years ago
Read 2 more answers
Which is a infinitely many solution ?
Cerrena [4.2K]

Answer

Sorry thats not out topic yet

Step-by-step explanation:

Sorry :c

8 0
3 years ago
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Snezhnost [94]
The answer is rhombus
7 0
3 years ago
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A bakery can make 30 donuts every 15 minutes. What is the unit rate at which the bakery makes donuts?
sesenic [268]

Answer:

Your answer is 2/1. 2 donuts every minute.

Step-by-step explanation: The rate you are given is 30 donuts every 30 minutes. This equals 30/15.

To make a unit rate, you must make the fraction have a ratio of x/1. You can simply do this by dividing and/or simplifying the equation 30/15.

4 0
3 years ago
,.....................................
boyakko [2]

\frac{x^{0}*y^{-3}}{x^{2}*y^{-1}} =      \frac{1}{x^{2}*y^{3-1}} = \frac{1}{x^{2}*y^{2}}

Answer.C.) \frac{1}{x^{2}y^{2}}

\textbf{Spymore}​​

4 0
4 years ago
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