Answer:
- (x + 10)² + (y + 4)² = 232
Step-by-step explanation:
<h3>Given </h3>
- Center = (-10, -4)
- Point on circle = (4, 2)
<h3>To find </h3>
<h3>Solution</h3>
<u>Remember the standard equation of circle:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius
<u>We have</u>
Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>
- r² = (-10 - 4)² + (-4 - 2)²
- r² = 14² + 6²
- r² = 232
<u>So the equation is:</u>
- (x + 10)² + (y + 4)² = 232
9514 1404 393
Answer:
3 times the smaller triangle base
Step-by-step explanation:
The volume is proportional to the height and to the area of the base.
If the height is unchanged, the larger pyramid must have a triangular base with an area that is 9 times the smaller base area.
Since the bases are similar, the area ratio is the square of the side length ratio. The side lengths of the larger base triangle must be √9 = 3 times the side lengths of the smaller base triangle.
Answer:
the number A(t) of grams of salt in the tank at a time is <em>A(t)=150-110e-t/50</em>
The answer is V is less than 200 cubic inches
Honestly I can’t remember the last time I had to deal with arcs in school, but the answer to the second one is 63 because all triangles add up to 180 degrees and 46+71= 117. 180-117=63
