What are the vertex and axis of symmetry of the equation y=-2x^2 8x-18?
Answers
Answer: vertex: ( 2, –10 & axis of symmetry: x = 2.
What is axis of symmetry ?
Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.
here, we have,
given that,
y = -2x² + 8x - 18
now,
x = -b/2a => -8/2(-2) => -8/-4 => 2
x = 2
now, we get,
Substitute 2 in for x in y = -2x² + 8x - 18
y = -2(2)² + 8(2) - 18
=> -2(4) + 16 - 18
=> -8 - 2
=> -10
i.e. y = -10
(x, y) = (2, -10)
so, we get,
Vertex: (2, -10)
Axis of Symmetry: x = 2
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Answer:
vertex: ( 2, –10)
axis of symmetry: x = 2
Step-by-step explanation:
y = -2x² + 8x - 18
x = -b/2a => -8/2(-2) => -8/-4 => 2
x = 2
Substitute 2 in for x in y = -2x² + 8x - 18
y = -2(2)² + 8(2) - 18 => -2(4) + 16 - 18 => -8 - 2 => -10
y = -10
(x, y) = (2, -10)
Vertex: (2, -10)
Axis of Symmetry: x = 2
Related Questions
Y=40+90x what is the meaning
Based on these equations, which one represents the greatest rate?y = 1/2 x + 8 y = 2x + 4 y = 4x + 2 y = 7x + 5 What is the y intercept of y = 6x + 32? Question 4 options: 6 6x 32 0 Question 5 (2 points) Question 5 Unsaved What is the slope of y = 3/4 x + 8? Question 5 options: 3/4 8 3 4 Help for these please?
What is the length of the diagonal, d, of the rectangular prism shown below?
When using the binomial formula, which of the following is a correct step in the expansion of (x+y)4
Answers
Answer:
-3+21i is the answer!!!
Step-by-step explanation:
5-8= -3 and 9i-(-12i)= 21i, so the answer is -3 + 21i.
-3m - n
3m - n
-3m - 3n
3m - 3n
Answers
2m - n + (m - 2n)
2m - n + m - 2n
2m + m - n - 2n
3m - 3n
Answer is D.
Answers
Answer:
25%
Step-by-step explanation:
Say we start from the beginning with $40. If the pants are discounted but we don't know the percent discount, then we need a variable, x:
40 - x% * 40 = 30
The total is 40. When we take a discount off of 40, we are taking a percent of 40 and subtracting that from 40. From the problem, this should be 30. Thus, the equation above.
Add x%*40 to both sides and subtract 30 from both sides:
x%*40 = 10
Divide by 40:
x% = 1/4 = 0.25
Multiply each side by 100:
x = 25
The answer is 25%.
The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.
Answers
Average rate of change from t = 3 seconds to t = 5 seconds =
Answers
Width = 55 yards
Length = 165 yards
Maximized area = 9075 sq yd
Step-by-step explanation:
Here, the total length of fencing available = 390 yd
Let L = length of the side parallel to river
W = width of other 3 sides.
So, total fencing L + 3 W = 390 yd
or, L = 390 - 3 W
Now, Area of the field = L x W
= (390 - 3 w) (W)
or, A = -3 W² + 330 W
The maximum value of above function is at W =
So, W = 55 yards
Now, L = (390 - 3 (55) ) = 165 yards
Now, maximized area = L x W
= 55 x 165 = 9075 sq yds
288 m3
96 m3
32 m3
Answers
The volume of Box B is 864m^3, when the volume of box A is 32 cubic meters and the volume of box B is three times the volume of box A.
We have given that,
Box A has a volume of 32 cubic meters.
Box B is similar to box A.
To create Box B, Box A's dimensions were tripled.
We have to determine the volume of Box B.
What is the ratio?
Ratio is the analytical tool that helps in determining the proportion of one variable over the another. It helps in taking decisions such as business decisions, construction decision, and many more.
Computation:
ratio =side of B/side if k is the ratio =sideof B/side of A=3
The area is multiplied by:
k²=9Volume by k^3=27
Or
27*32=864 (m^3)
The volume of Box B is 864m^3, when the dimension of box B is triple the dimension of box A.
Therefore, option A. is correct.
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if k is the ratio =side of B/side of A=3
Area is multilpy by k²=9
Volume by k^3=27
Or 27*32=864 (m^3)
Answer A