Answer:
(1,-2)
(1,-6)
(3,-3)
Step-by-step explanation:
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
Answer:
<u>NOT BOTH BLACK = 1-2/25 = 23/25</u>
Step-by-step explanation:
Bag 1 : 8 non-black out of 10
P(1) = 8/10
Bag 2: 3 non-black out of 10
P(2)=3/5
Probability of both independent events happening can be calculated using the multiplication rule
P(1) and P(2) = P(1)*P(2) = 8/10 * 3/5 = 24/50 = <u>12/25 (both are not black, or none is black)</u>
Interpretating not both black meaning at most one black, then
we calculate the probability of both are black,
P(1) = 2/10
P(2) = 2/5
Probability that both balls are black can be calculated using the multiplication rule
P(1) and P(2) = 2/10 * 2/5 = 2/25
Probability that <u>NOT BOTH BLACK = 1-2/25 = 23/25, i.e. at most one black</u>
Answer:
Step-by-step explanation:
We are given two point B(-3,-1) and A(0,1)
We need to find distance BA
Using distance formula of two coordinate
Where,
Now we substitute points into formula and we get BA
Thus, Distance BA would be 
Function form is when you put x in, you get y so the correct equaiton should be y=so and so
so
5x-7y=14
subtrac 5x form both ssides
-7y=14-5x
divide both sides by 7
-y=2-5/7x
multiply by -1
y=5/7x-2
that is it
