Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Answer: DB is 5
Step-by-step explanation:
Alright, lets get started.
Since given that AD is parallel to CB.
And AB is parallel to CD.
And the angle A is given as 90°
It means the given figure is a rectangle.
And the diagonals of the rectangle are equal to each other.
So, 
So, 
Hence the answer is 5 ... Answer
Hope it will help :)
Answer:
1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.
2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.
3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.
4) It fits perfectly
5) The data is pretty inconsistent.
6) About 68-69 inches tall
7)About 71-72 inches wide
yeo u had my brain work after this
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
We can use triangle inequality, let AC = x:
x+4 > 5
x+5 > 4
9 > x
Simplifying:
x>1
x>-1
9>x
Thus: 9>x>1
So the Largest whole number is 8
So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.
And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°
Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°
Now solve it by applying
