Answer:
PT = 17
Step-by-step explanation:
Since T is the midpoint of PQ, then
PT = TQ , substitute values
4x + 5 = 8x - 7 ( subtract 4x from both sides )
5 = 4x - 7 ( add 7 to both sides )
12 = 4x ( divide both sides by 4 )
3 = x
Thus
PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17
Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Answer:
- Family 1: $1.850
- Family 2: $1.350
Step-by-step explanation:
We know that the total monthly payment is 3200, so if we call Pa (family A`s payment) and Pb (Family B's payment) the payments:
- Pa+Pb=3200
- also, Pa = Pb+500
So if we replace Pa in the first ecuation:
- Pb+500+Pb=3200
- 2Pb= 3200-500
- Pb=2700/2= $1.350
then Pa+Pb=3200 => Pa= 3200-1350= $1.850
Good Luck!
Answer:
d(63)=21,420m
Step-by-step explanation:
d(t)=340t
D=Distance
T=Time
D(63)=21,420
Answer:
30
Step-by-step explanation:
Substitute for x and y
2 x 3 x 5 = 6 x 5 = 30
I hope this helped and please mark mark me as brainliest!
