Help please I don't understand
2 answers:
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There's no need to get into an ethical morass over math homework.
111.
M is 20% less than N means
M is 100-20=80% of N
M=0.80 N
M/N = 0.8 = 4/5
Ratio: 4/5
112.
When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>
So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6
Answer: 3.6
113.
|2p + 4 | < 3
At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when
2p +4 = -3
2p = -7
p = -7/2 = -3 1/2
So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.
Answer: -3
114.
The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:
Answer: .5 or 1/2
Answer:
The answer to your question is: 10 units
Step-by-step explanation:
P (-3, -12)
1.- Find the center of the circle
x² + y² = 6x - 8y + 24
x² - 6x + ( )² + y² + 8y + ( )² = 24
x² - 6x + (3)² + y² + 8y + (4)² = 24 + 9 + 16
(x - 3)² + (y + 4)² = 49
Center (3, -4)
2.- Find the distance between the center and the point given
Formula
d =
Substitution
d =
d =
d =
d =
d = 10 units