Answer:
10 in., 18.5 in., 31.5 in.
Step-by-step explanation:
Ask me if you need step-by-step, since the problem seems to be multiple choice.
Answer:
Center: (3,5)
Radius: 2
Step-by-step explanation:
x² + y² - 6x - 10y + 30 = 0
Put equation into center-radius form. First regroup terms:
(x²-6x) + (y²-10y) = -30
Complete the squares:
(x²-6x+3²) + (y²-10y+5²) = -30 + 3² + 5²
(x-3)² + (y-5)² = 4 = 2²
Center: (3,5)
Radius: 2
Answer:
1. x>20 2. x≤1 3.x<4 4.x>9 5.x≥-13
Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem

Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
Answer:
11033
Step-by-step explanation: