The diameter of a circle by definition goes from one "side" of the circle to the other "side" and goes through the center. If we are given the coordinates of the endpoints of the diameter, we need to find the midpoint of that segment to find the center of the circle. The midpoint formula is as follows
. Filling in accordingly, we have
. Doing the math on that gives us a midpoint of (-7, -6), which is also the center of the circle.
Answer:
<em><u>1.c</u></em>
<em><u>2.b</u></em>
<em><u>3.a</u></em>
<em><u>4.d</u></em>
<em><u>5.c</u></em>
Step-by-step explanation:
<em><u>please click the heart and rate excellent and brainleist to </u></em><em><u>☻</u></em><em><u>❤</u></em><em><u>☺️</u></em><em><u>☺️</u></em><em><u>❤</u></em><em><u>☻</u></em>
The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
<h3>Calculating area </h3>
From the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (<em>Pythagorean theorem</em>)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: brainly.com/question/14989383
#SPJ1
Answer : The two correct options are,
3.4a + 5.6b
5.6b + 3.4a
Step-by-step explanation :
The given expression is:
(-2.4a - 1.8b) - (-3.8a - 4.4b) + (2.0a + 3.0b)
First we have to open the brackets.
⇒ -2.4a - 1.8b + 3.8a + 4.4b +2.0a + 3.0b
Now keep like terms together.
⇒ -2.4a + 3.8a +2.0a + 3.0b - 1.8b + 4.4b
By subtraction or addition, we get:
⇒ 3.4a + 5.6b
or,
⇒ 5.6b + 3.4a
Hence, the expressions that equivalent to the given expression are, 3.4a + 5.6b and 5.6b + 3.4a
