Answer:
target speed for the marathon has been achieved and exceeded
Step-by-step explanation:
Given that :
Target speed = 25 mph
Current speed = 15 miles in 1/2 an hour
Current speed :
15 miles in 0.5 hours
X miles in 1 hour
0.5x = 15 miles
X = 15 / 0.5
X = 30 miles per hour
Hence, current speed in miles per hour = 30mph
This means that her target speed for the marathon has been achieved and exceeded
So in order to add the fractions together you need to first find a common denominator. For the very first problem you can use 63 as a denominator because 7*9=63. Now for the numerator. So you have 4/7 and 8/9. We just multiplied 7 by 9 so now we need to do that for 4 also. 4*9=36. Now we have 36/63. For 8/9 we multiply 8 by 7 to get 56. Now we have 36/63 + 56/63. Once you add those together you simplify your answer.
Answer:
Segment JK is a chord in circle H
Line LM is a secant to circle H
Step-by-step explanation:
* Lets revise some definition in the circle
- The radius of the circle is a line segment drawn from the center of
the circle to a point on the circumference of the circle
- The chord of a circle is a line segment whose endpoints lie on the
circumference of the circle
- The secant is a line intersect the circle in two points
- The tangent is a line touch or intersect the circle in one point
* Now lets solve the problem
- In circle H
∵ JK is a segment in circle H
∵ Point J lies on the circumference of circle H
∵ Point K lies on the circumference of circle H
∴ Segment JK is a chord in circle H
∵ LM is a line
∵ LM intersect circle H in two points L and M
∴ Line LM is a secant to circle H
Answer: y=2/3x-5
Explanation: The first thing I do is look for the y-intercept which is where the line goes through the y-axis, for this equation it's -5; then the slope the point goes up one and goes right 1.5, then put it into whole numbers so I'll times them by 2 so the slope is 2/3
With those you can put it into slope-intercept form: y=2/3x-5
