Answer:
The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.
Step-by-step explanation:
The average speed is given by the following equation:
From 10A.M. to noon.
You traveled at 50mph during 2 hours. So how long you traveled?
You traveled 100 miles.
What was your average speed over the time interval from 9 A.M. to noon
From 9 A.M. to 10 A.M, you did not travel.
From 10 P.M. to noon, 100 miles.
So 100 miles during 3 hours.
The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.
Answer:
y = 5x + 8
Step-by-step explanation:
If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.
5x - y = 4 and solving for y:
-y = -5x + 4 and solving for positive y:
y = 5x - 4
So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:
y - (-2) = 5(x - (-2)) and
y + 2 = 5(x + 2) and
y + 2 = 5x + 10 so
y = 5x + 8
Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(
, 
) and (
, 
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴ = -15 and = x
∴ = 13 and = y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴ 
= -24 and 
= 15
→ Use the rule of the mid-point to find x and y
∵ 
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ 
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Answer:
The measure of arc BC is 130° ⇒ 1st answer
Step-by-step explanation:
In a circle:
- The measure of an arc is equal to the measure of the central angle subtended by it
- The measure of an arc is equal to double the measure of the inscribed angle subtended by it
- Central angles subtended by the same arc are equal in measures
- Inscribed angles subtended by the same arc are equal in measures
- The measure of central angle is double the measure of the inscribed angle which subtended by its arc
∵ Angle BDC is an inscribed angle
∵ It is subtended by the arc BC
- By using the 2nd fact above
∴ The measure of arc BC = 2 × the measure of ∠BDC
∵ The measure of angle BDC is 65 degree
∴ The measure of arc BC = 2 × 65°
∴ The measure of arc BC = 130°
The measure of arc BC is 130°
