1.C
2.C
3.C
4.Written
5.Depends on your way of learning what is "compatible"
6. Written
7.582
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
Answer:
XY = 4
Step-by-step explanation:
Side XY corresponds to side PQ and is congruent to side XY.
The distance from P to Q is 4 since those two points are 4 units apart on the x-axis.
Answer: XY = 4
Answer:
3937.5 or 3938 after round-off
Step-by-step explanation:
11 minutes 15 seconds = 11.25 minutes
5 members of the family shower 7 times a week for 11.25 minutes
=total of 393.75 minutes
393.75 times the amount of water used which is 10 litres becomes 3937.5
I hope this helps
Answer:
See below
Step-by-step explanation:
If you are squaring a number, and then taking the square root of it, you are essentially undoing the original operation:
![\displaystyle \sqrt{\biggr(\frac{4}{7}\biggr)^2}=\biggr[\biggr(\frac{4}{7}\biggr)^2\biggr]^{\frac{1}{2}}=\biggr(\frac{4}{7}\biggr)^{2*\frac{1}{2}}=\frac{4}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E2%7D%3D%5Cbiggr%5B%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E2%5Cbiggr%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E%7B2%2A%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cfrac%7B4%7D%7B7%7D)
Hence, we are back starting with the original number
