11. Write the equation in slope intercept form that has a slope of -23 and passes through the point (-1, 2).

1 answer:

7 0

11. y = -23x - 21

You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b.

2 = -23(-1) + b
2 = 23 + b
-21 = b

Then add that to the end of the equation with m = -23

12. -5

The y-intercept of an equation is always the number added on at the end of an equation. It is also the number with no x attached to it.

13. 8x^9y^6

When you use the law of exponents, you need to make sure the exponent goes to each individual term. When we cube the 2, it becomes 8. When you cube x^3, you get x^3*x^3*x^3 or x^9. And with y^2 you get y^6

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Determine if each set of side lengths could be used to create a triangle. *Explain your reasoning.*

grin007 [14]

Answer:

See below

Step-by-step explanation:

By the Triangle Inequality Theorem, if given side lengths $a$ , $b$ , and $c$ , where $c$ is the longest side, then $a+b\geq c$

Problem A

This set of side lengths creates a triangle since $2+6\geq7$

Problem B

This set of side lengths creates a triangle since $3+3\geq 3$ , which is known as an equilateral triangle since all of its side lengths are equal to each other