9514 1404 393
Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2
Answer:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
Step-by-step explanation:
if Ruth is x, esmerelda is 5x,
four years ago,
Ruth is x+4, esmerelda is 5x+4, depend on the sum, we get:
x+4+5x+4=22, x=7/3
so:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
8 ^ (-2) = 1 / 64
<span>4 ^ (-3) = 1 / 64</span>
Answer:
Step-by-step explanation:
You need the Pythagorean Theorem to solve this question. There is no be part.
Equation
c^2 = a^2 + b^2
Givens
a = 32
b = 21
c = ?
Solution
c^2 = a^2 + b^2 Substitute the values
c^2 = 32^2 + 21^2 Expand
c^2 = 1024 + 441 Combine
c^2 = 1465 Take the square root of both sides
√c^2 = √1465
c = 38.275
Answer: 38.3 rounded
5 equals the whole number 5?
