Answer:
(x - 5)^2 + y^2 = 225/4,
or you could write it as (x - 5)^2 + y^2 = 56.25.
Step-by-step explanation:
The factor form is
(x - h)^2 + (y - k)^2 = r^2 where the center is (h, k) and r = the radius.
So we have:
(x - 5)^2 + (y - 0)^2 = r^2
As the point (-1, 9/2) is on the line:
(-1 - 5)^2 + (9/2)^2 = r^2
r^2 = 36 + 81/4
r^2 = 225/4.
So substituting for r^2:
(x - 5)^2 + (y - 0)^2 = 225/4
(x - 5)^2 + y^2 = 225/4 is the standard form.
Answer:
Scully will catch up with Mulder by 7:30 PM.
Step-by-step explanation:
Consider the provided information.
Mulder leaves the office at 9:30a.m. averaging 57mph.
Scully leaves at 10:00a.m., following the same path and averaging 60 mph.
Distance covered by Mulder between 9:30 AM and 10:00 AM:
miles
Let t is the time taken by Scully to catch up with Mulder.
After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.
Therefore total distance cover by them is:
Hence, it would take 9 hours 30 minutes to catch up Mulder.
10 am + 9 hours 30 minutes = 7:30 pm
Therefore, Scully will catch up with Mulder by 7:30 PM.
We have that AB || DC.
By a similar argument used to prove that AEB ≅ CED,we can show that (AED) ≅ CEB by (SAS) . So, ∠CAD ≅ ∠ (ACB) by CPCTC. Therefore, AD || BC by the converse of the (
ALTERNATE INTERIOR ANGLES) theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram
1. AED
2. SAS
3. ACB
4. ALTERNATE INTERIOR ANGLES
Answer:
The degree of the given expression is 2
Step-by-step explanation:
1.
1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.
1% of 500 = 5
5 × 8 = 40
40 × 2 = 80
2.
1% of 1000 = 10
10 × 5 = 50
50 × 3 = 150
3.
12 months = 6%
6/12 = 1 month
0.5 = 1 month
0.5 × 9 = 4.5 (the amount of interest for 9 months.)
800 × 4.5% = 36
4.
12 months = 7%
7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)
7/12 x 8 = 4.666667 or 4.7 rounded.
1200 × 4.7% = 56.40
