Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>
(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:
Collect like terms and subtract 4 from both sides:
Complete the square for both variables by adding the square of half of the coefficient of 
and 
to both sides:
Factor both variables:
Therefore:
- center = (-2, 6)
- radius = √36 = 6
Check the picture below.
so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.
the front and back are two 5x3 rectangles
the left and right are just two 3x7 rectangles
and the top and bottom are just two 5x7 rectangles
so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.
Answer:
X-intercept= (1/2,0) Y-intercept= (0,1)
Step-by-step explanation:
You're welcome :)
Answer:
70 students
Step-by-step explanation:
As, 30% Mike surveyed
And these 30% are 21 students
So 30% of X = 21
= 30/100 x X = 21
= 30X = 2100
So X = 2100/30
X = 70
So 70 students were surveyed
Answer:
B) 45 cats
Step-by-step explanation:
3/(3+5) = 3/8
3/8 of the animals are cats
3/8 × 120
45
