Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Answer:
Answer: scale factor = 1.5 Step-by-step explanation: Given: Triangle ABC is a scaled copy of triangle DEF. Side AB = 12 cm and is the longest side of ABC. Side DE = 8 cm and is the longest side of DEF. AB is corresponds DE (longest side of both triangles) So, Hence, the scale factor = 1.5.
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3943753-triangle-abc-is-a-scaled-copy-of-triangle-def-side-ab-measures.html
Step-by-step explanation:
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Answer:
it is a it the first one. 7/13
Answer:
Semi-monthly gross pay = $662.5
Step-by-step explanation:
Given:
Earning per hour = $13.25
Number of hours per week = 25 hours
Find:
Semi-monthly gross pay
Computation:
Assume two week in semi-month
So,
Total working hour = 2(25)
Total working hour = 50 hours
Semi-monthly gross pay = Total working hour × Earning per hour
Semi-monthly gross pay = 50 × 13.25
Semi-monthly gross pay = $662.5
