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2 years ago

What is the solution to the system of equations graphed below?

Mathematics

1 answer:

sweet [91]2 years ago

5 0

Answer:

$\text{B. }(2, -3)$

Step-by-step explanation:

$\begin{cases}y=2x-7,\\y=-x-1\end$

Since $y=y$ :

$2x-7=-x-1,\\3x=6,\\x=2$

Solving for $y$ :

$y=2(2)-7=4-7=-3$

Verify that the point of intersection occurs at $\boxed{(2, -3)}\checkmark$

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HELP ME! In a complete sentence, describe the relationship between the three angles in the diagram below. Write and solve an equ

AlexFokin [52]

Answer:

b = 17

∠QPS = 124°

∠SPT = 17°

∠TPR = 39°

Step-by-step explanation:

The sum of the three angles shown is a linear angle, with a measure of 180°.

This fact can be used to write an equation:

(8b -12)° +b° +(2b+5)° = 180°

11b -7 = 180

11b = 187

b = 17

8b -12 = 8(17) -12 = 124

2b +5 = 2(17) +5 = 39

The value of b is 17.

The angle measures are ...

∠QPS = 124°

∠SPT = 17°

∠TPR = 39°

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Naddika [18.5K]

Answer:

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Step-by-step explanation:

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3 years ago

Multiply using FOIL or Table method (x + 4) (x + 5)

mylen [45]

Answer:

${x}^{2} + 9x + 20$

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

${x}^{2} + 5x + 4x + 20$

2) Collect like terms.

${x}^{2} + (5x + 4x) + 20$

3) Simplify.

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Therefor, the answer is x² + 9x + 20.

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Answer:

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Step-by-step explanation:

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