Answer:
h = 5 or h = 3
Step-by-step explanation:
f(x)=(x-h)^2 is a parabola
The vertex of a parabola is its lowest or highest point.
So (4,1) is a point on f(x)
substituting into the new equation, 1 = (4-h)^2
4-h = 1 or 4-h = -1
h = 5 or h = 3
I must assume that by "15x2 - 44x - 36" you actually meant "<span>15x^2 - 44x - 36." Use " ^ " to denote exponentiation, please.
One by one, take each of the following sets of possible factors and mult. them out to determine whether the result equals </span>15x^2 - 44x - 36:
<span>
(5x - 9)(3x + 4)
(3x - 4)(5x + 9)
(5x - 18)(3x + 2)
(5x + 18)(3x - 2)
First one: use the "foil" method: (5x)(3x) + 20x - 27x - 36. This does not simplify to </span>15x^2 - 44x - 36 and so is not the correct choice. Go on to the second answer choice and continue this check.
Answer: right triangle
Step-by-step explanation:
Answer:
y - 3 = -8(x + 7)
Step-by-step explanation:
The equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
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The slope you want is m = -8, which is the slope of the given line.* The given point is (h, k) = (-7, 3), so the equation you're looking for is ...
y - 3 = -8(x -(-7))
The expression inside parentheses can be simplified so you have ...
y - 3 = -8(x + 7)
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* The given line is in "slope-intercept" form, which is y = mx + b. Matching this pattern to the given equation, you see that m=-8. Parallel lines have equal slope, so -8 is the slope of the line you're writing the equation for.
