The standard equation of a circle with centre (xc,yc) and radius R is given by

Substituting
centre (xc,yc) = (4,-3)
R=2.5
The equation is therefore



or
(x-4)^2+(y+3)^2=6.25
Answer:
<u>Question 1:</u>
You would need 4 cups of milk, and 12 tablespoons of chocolate powder for 4 glasses of chocolate milk.
If your brother made his chocolate milk using 2 cups of milk and 3 tablespoons of chocolate powder, his drink would be less chocolatey than yours.
<u>Question 2:</u>
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The ratio to boys and girls in the classroom is 15/10 or 10/15
<u>Question 3:</u>
It takes Joshua 6 minutes and 40 seconds to run 1 mile,
It takes Joshua 33 minutes and 20 seconds to run 5 miles
And it takes Joshua 16 minutes and 40 seconds to run 2.5 miles.
;)
Answer:

Step-by-step explanation:
Given the rhombus CDEF, sides FC and CD are adjacent sides.
Using coordinate geometry, to proof that a quadrilateral is a square, with regards to the slope, the slope of adjacent segments must be negative reciprocals.
In fact, by definition: Two lines with slopes
are perpendicular if:

Therefore if :
- FC and CD are adjacent segments
- Slope of FC=25
For the rhombus to be a square:
Slope of CD 
Answer:
(p ⋅ 10) − (p ⋅ 2)
Step-by-step explanation:
Try to substitute "p" with any number.
Let's say p = 2
So
p ⋅ (10 − 2)
2 ⋅ (10 − 2)
2 ⋅ (8)
= 16
Now for the other equations
(p ⋅ 10) − (p ⋅ 2)
(2 ⋅ 10) − (2 ⋅ 2)
(20) - (4)
= 16
(10 ⋅ 2) − p
(10 ⋅ 2) − 2
(20 ) − 2
= 18
10 ⋅ 2 − p
10 ⋅ 2 − 2
20 - 2
= 18
(10 ⋅ 2) ⋅ p
(10 ⋅ 2) ⋅ 2
(20) ⋅ 2
= 40
Only (p ⋅ 10) − (p ⋅ 2) has the same result as p ⋅ (10 − 2).
Cheers
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Answer:
y=3
Step-by-step explanation:
(3 + 12) / (7 - 12) = (15) / (-5) = -3