Answer:
D. 26 m
Step-by-step explanation:
The correct question is:
A circle has a radius of 45 units and is centered at (-2.4, -4.8).
What is the equation of this circle?
Answer:
Equation of the circle is;
(x + 2.4)² + (y + 4.8)² = 2304
Step-by-step explanation:
The standard equation of a circle is;
(x - a)² + (y - b)² = r²
where;
(a,b) is the center of the circle and r is the radius of the circle
Now, from the question, the circle is centered at (-2.4, -4.8) and the radius is 45
Thus, plugging those values into the standard form of equation of a circle, we have;
(x - (-2.4))² + (y - (-4.8))² = 48²
This gives;
(x + 2.4)² + (y + 4.8)² = 2304
Answer:
Step-by-step explanation:
2915 can stay as it is; 15.458 should be rounded down to 15. Then we have
2915-15, or 2900 (which is a very reasonable estimate).
Answer:
a & c
Step-by-step explanation:
Answer:
the value of x that makes this equation true is 9
Step-by-step explanation:
2(x - 6) + x + 14 = 4(x - 3) + 5
<em>open the parenthesis</em>
2x - 12 + x + 14 = 4x - 12 + 5
<em>add 12 to both sides of the equation</em>
2x - 12 + 12 + x + 14 = 4x - 12 + 12 + 5
2x + x + 14 = 4x + 5
<em>subtract 5 from both sides of the equation</em>
2x + x + 14 - 5 = 4x + 5 - 5
3x + 14 - 5 = 4x
3x + 9 = 4x
<em>subtract 3x from both sides of the equation</em>
3x - 3x + 9 = 4x - 3x
9 = 4x - 3x
9 = x
check the answer:
2(x - 6) + x + 14 = 4(x - 3) + 5
2(9 - 6) + 9 + 14 = 4(9 - 3) + 5
29 = 29