Answer:
A & B
Step-by-step explanation:
A is spot-on because of the use of distributive property. B by the use of like terms.
The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
Answer:
-0.75 as a fraction is -3/4
Explanation:
-3 divided by 4 is -0.75
In every triangle, the largest side, is opposite the largest angle.
Also, the smallest side, is opposite the smallest angle.
a.

so

,
because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.
Greatest side: RQ
b. The sum of the measures of the interior angles of any triangle is 180°,
so

thus, m(C) is the largest angle. This means the largest side is the side AB.
Answers:
a) RQ
b)AB