Hi there!
To find your answer, simply sub in the point and the slope into y-y1=m(x-x1) for y1, x1 and m!
m=-8
point: (1,-8) use this point for x1 and y1
y+8=-8(x-1)
Therefore your equation is y+8=-8(x-1)
Hope this helps!
Area of the triangle is 20x(x - 1) sq. in
Step-by-step explanation:
- Step 1: Find the area of the triangle.
Height = 10x in and Base = 4(x - 1) in
Area = 1/2 × base × height
⇒ Area = 1/2 × 4(x - 1) × 10x
= 20x(x - 1) sq. in
Answer:
A) 
Step-by-step explanation:
We are trying to find how long it will take Carlos to have $500 TOTAL, so we need to subtract what he already has ($150) to get the value we want to divide by $25 to figure out how many months it will take him to save up the rest. The given answer above is just a simplified way of writing 
, if that makes more sense.
AND means multiply, so if probability is dependent on two things happening, then we will multiply the individual probabilities together.
1. P(A and 1) = 1/4 x 1/6 = 1/24
2. P(C and 2) = 1/4 x 2/6 = 2/24 = 1/12
3. P(B and 3) = 2/4 x 1/6 = 2/24 = 1/12
4. P(A and 4) = 1/4 x 2/6 = 2/24 = 1/12
5. P(C and 3) = 1/4 x 1/6 = 1/24
6. P(B and 2) = 2/4 x 2/6 = 4/24 = 1/6
7. P(a consonant and an odd #) = 3/4 x 2/6 = 6/24 = 1/4
8. P(a consonant and a prime #) = 3/4 x 3/6 = 9/24 = 3/8
9. P(a vowel and a 5) = 1/4 x 0/6 = 0
10. P(a vowel and a number less than 3) = 1/4 x 3/6 = 3/24 = 1/8
11. P(B and 1) = 2/4 x 1/6 = 2/24 = 1/12
Experimental probability is based on something that has already happened, or data that has already been collected.
12. P(1) = 3/30 = 1/10
13. P(2) = 8/30 = 4/15
14. P(3) = 7/30
15. P(4) = 5/30 = 1/6
16. P(5) = 3/30 = 1/10
17. P(6) = 4/30 = 2/15
Hope this helps!
Answer:
36x^6/y^10
Step-by-step explanation:
First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6
y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r
final answer should be 36x^6/y^10
hope this helps :')
