Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)
The probability that it also rained that day would be 0.30
Answer:
≈ 
Step-by-step explanation:
Start with the distance formula:

Pair your values to your variables.

Let's substitute those values into the formula.

Complete the operations in your parentheses.

Square the bases of your powers.

Add.

Find the square root of
:
≈ 
I only provided 4 digits after the decimal point; feel free to round it accordingly.
Answer:
3/2
Step-by-step explanation:
do rise over run
rise is 3
run is 2
3/2
hope this helps <3
Answer:
1. Circle Q
2. Center Q
3. radius PQ, radius QR, radius QS
4. chord PS, chord PR
5. diameter PR
6. semi-circle PSR
7. acute angle SQR
8. SR = 44*QR
9. PS = (180-44)*QS = 136*QS
10.
11.
12. 180°-∠SQR
13.
*∠SQR
14.