9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Answer:
3
Step-by-step explanation:
We can find the slope of the given line in this two way:
1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3
2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x
3y = -x-15
y = -1/3x - 5
Also in this case we have -1/3
Two perpendicular lines have the the product of the their slope that is -1
So the slope that we are finding is 3
In fact = 3 x -1/3 = -1
Step-by-step explanation:
Let the painting's width be w inches and length be l inches.
w + 6 = 2l
w = 2l - 6 --(1)
2w + 2l = 84 --(2)
sub (1) into (2):
2(2l - 6) + 2l = 84
2l - 6 + l = 42
3l = 48
l = 16
when l = 16, w = 2(16) - 6 = 26
area of painting = lw = 16 x 26 = 416square inches
Therefore, only statements 1, 3 and 5 are true
Topic: Algebraic equations + Simultaneous linear equations
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Answer:
B
Step-by-step explanation:
y³=64
![y=(64)^{\frac{1}{3} } =\sqrt[3]{64}](https://tex.z-dn.net/?f=y%3D%2864%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B64%7D%20)
