Henry runs at a rate of seven miles an hour. I think you meant the second sentence to be 'Blake', because there is not attatched graph. They are both running at the same speed in this case.
I got this because 14 (miles ran by Henry) / 2 (hours ran) you get 7. This same equation is applied to (Blake?) 35 (miles ran by [Blake?]) / 5 (hours ran) also equals seven.
If you meant the second statement to be Blake, they are both running at the same speed, and x=7.
If you didn't, then there is not enough information to determine Blake's speed.
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one, as well as to move up in rank! :)
Part A:
<span>a system of inequalities that only contain points D and E in the overlapping shaded regions is
5y + 2x > 12
2y - x < 12
Part B:
To verify that points D and E are solutions to the system of inequalities, we plug in the coordinate points of points D and E into the system of ineaqualities.
Part C:
</span>To <span>identify the schools that Timothy is allowed to attend we plug in the coordinate values of the points to see which satisfies the inequality y < 3x - 3. Thus Timothy is allowed to attend schools C and F.</span>
<h3><u>Solution</u>:-</h3>
The equation of any straight line can be written as in slope intercept form as -

where,
- m is its slope
- c is its y-intercept.
<em><u>Given equation:- </u></em>

<u>Arranging it in slope intercept form by transposing 5x to RHS </u>


Comparing the equation y = -5x +10 with the standard form of the equation, we get -


Thus , 5 is our required answer.