Answer: 5
Work Shown:
f(x) = 2x+1
f(2) = 2*2+1 ... x has been replaced with 2
f(2) = 4+1
f(2) = 5
The input is x = 2. The output is y = 5.
Answer:
(x+3)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
Follow the standard form of a circle, (x-h)^2 + (y-k)^2 = r^2, given that (-3,7) is (h,k) and 2 is r.
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Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
Answer: 23 in
Step-by-Step Explanation:
Height (h) = 18 in
Base (b) = ?
Area (A) = 207 sq. in
We know,
Area of a Triangle = 1/2 * b * h
Therefore,
1/2 * b * h = 207
1/2 * b * 18 = 207
b * 9 = 207
9b = 207
b = 207/9
=> b = 23
Base (b) = 23 in
