The formula for a circle with center (h,k) and radius (r) is as follows:
(x – h)² + (y – k)² = r²
If the diameter of the circle is 10, we know that the radius of the circle must be equal to 5. Insert any known equations into the formula above:
(x – (-3))² + (y – 2)² = 5²
Simplify both sides of the equation:
(x + 3)² + (y – 2)² = 25
This is the equation of a circle with the given measurements.
I hope this helps!
Answer:
12 cm
Explanation:
From
Pythagoras Theorem
h
2
=
a
2
+
b
2
where
h =
Length of hypotenuse side
a =
Length of one leg
b =
Length of another leg
(
20 cm
)
2
=
(
16 cm
)
2
+
b
2
b
2
=
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
400 cm
2
−
256 cm
2
b
=
√
144 cm
2
b = 12 cmStep-by-step explanation:
Answer:
1. 0.6
2. 14/25
3. 561%
4. 0.0032
5. 0.274
Step-by-step explanation:
Answer:
180 miles
Step-by-step explanation:
Going North
<em><u>Formula</u></em>
d = r * t
<em><u>Givens</u></em>
r = 60 mph
t = 5.2 hours
d = ?
<em><u>Solution</u></em>
d = 5.2 * 60 = 312 miles north
Going South
<em><u>Givens</u></em>
r = 55 mph
t = 2.4 hours
<em><u>Solution</u></em>
d = r * t
d = 55 * 2.4
d = 132
Distance from home
Formula: Distance from home = Distance North - Distance South
Distance North = 312 - 132 = 180 miles
X=7 since you need to make an equation and in one hour you make $7. Don’t include the 1 as in 1x cause that’s incorrect
