Answer:
- g(x) = x^2 – 4x – 21
- g(x) = 3x^2 – 12x – 63
- g(x) = –(x + 3)(x – 7)
Step-by-step explanation:
When r is an x-intercept of the function, (x -r) is a factor. The two given x-intercepts mean that two factors of the function are (x -(-3))(x -7). There may be a vertical scale factor that is not necessarily positive.
These factors multiply out to give ...
(x +3)(x -7) = x^2 -4x -21 . . . . . . matches the first choice
When this expression is multiplied by 3, it matches the third choice:
3(x +3)(x -7) = 3x^2 -12x -63
When the factored form is multiplied by -1, it matches the fourth choice:
-(x +3)(x -7)
Answer:
y +3 = -6(x +9)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h)
for a line with slope m through point (h, k).
You want the line with slope -6 through point (-9, -3), so its equation is ...
y -(-3) = -6(x -(-9))
y +3 = -6(x +9) . . . . . matches the last choice
I am assuming 10 and 12 are the legs and 23 is the hypotenuse?
With that said, we can use the pythagorean theorem a^2+b^2=c^2
a^2+b^2=c^2 = Right triangle
a^2+b^2 < c^2 = abtuse
a^2+b^2 > c^2 = acute
10^2 + 12^2 = 23^2
244 = 529
244 < 529
It is abtuse
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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