Answer:
Step-by-step explanation:
The point-slope form of ane equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
<em />
We have:
y-intercept is for x = 0.
Therefore, if y-intercept = 0, then we have the point (0, 0).
Substitute:
<h3>
Answer: Vertex is (2,2)</h3>
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Explanation:
The equation
y = -3x^2 + 12x - 10
is in the form
y = ax^2 + bx + c
with a = -3, b = 12, c = -10
Plug the 'a' and 'b' values into the equation below to find the x coordinate of the vertex
h = -b/(2a)
h = -12/(2*(-3))
h = -12/(-6)
h = 2
The x coordinate of the vertex is h = 2, which is then used to find the y coordinate of the vertex
y = -3x^2 + 12x - 10
y = -3(2)^2 + 12(2) - 10
y = -3(4) + 12(2) - 10
y = -12 + 24 - 10
y = 12 - 10
y = 2
The y coordinate of the vertex is k = 2
The vertex is (h,k) = (2,2)
Height = volume / area of the base
= 10x^3 + 46x^2 - 21x - 27 / 2x^2 + 8x - 9
10x^3 / 2x^2 = 5x so the first term in the answer will be 5x
Answer is (c).
Answer:A family’s vacation destination is 850 miles from their home. They travel by car 6 hours on the first day of their trip. Their average speed is 45 miles per hour. The next day they travel 7 hours, averaging the same speed. How many miles are left for the family to travel?
Step-by-step explanation:
