A point P on the line segment GK may be parametrically represented as
t is a real parameter which controls where on the segment P is. t=0 means P=G, t=1 means P=K. We're interested in the t that gives a 3:2 ratio for PG:PK. That's closer to K so t>1/2. t=3/(3+2) = 3/5.
Answer: (26/5, 8)
Answer:
B
Step-by-step explanation:
It is a 379 page book so the answer is 379. That leaves B and D. It states she has already read 54 so that eliminates D leaving B. Now let's say we want more proof. It states 28 pages an hour. That means 28h. D doesn't have this either.
Answer: Yes, he makes a reasonable inference.
Step-by-step explanation:
Since we have given that
Number of students = 60
Number of chosen science students = 12
Percentage of students who chose science is given by
12/60 x 100
= 1/5 x 100
= 20%
Since Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction.
So yes, he makes a reasonable inference.
Answer:
<em>Is a tangent</em>
Step-by-step explanation:
<em>* Great question by the way *</em>
~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~
1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.
2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.
3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:
AB^2 + OA^2 = BO^2,
15^2 + x^2 = 17^2,
<em>x = 8</em>
4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8
5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition <em>AB is a tangent</em>
Answer:
Step-by-step explanation:
For the y to cancel out, you would have to divide y by 5. Whenever you do one thing to a side, you <u><em>have</em></u> to do the same on the other side. Once you do so, you'll get : 
<em>Hope this helps!!</em>
