Answer:
No
Step-by-step explanation:
If the center is at (0, 0) and if (0, -9) lies on the circle, then the radius must be 9.
In this case, the equation of this circle is
x^2 + y^2 = r^2 = 9^2.
Does (8, 717) satisfy this equation? No. 717^2 would be far outside of the circle. the distance from the center to the point (8, 17) is not the same as the radius
Answer:
y = 3x-9
Step-by-step explanation:
y = -1/3 x +2
The slope is -1/3
We want a line perpendicular to it
Perpendicular lines have negative reciprocal slopes
The new slope is -(-3/1) = 3
We have a slope m=3 and a point (5,6)
We will use point slope form to find the line
y-y-1 = m(x-x1)
y-6 = 3(x-5)
In slope intercept form
Distribute
y-6 = 3x-15
Add 6 to each side
y-6+6 = 3x-15+6
y = 3x-9
So Maura was driving 60 miles per hour for two hours. That's 60x2 which equals 120 miles in the two hours she's been driving. After two hours she increases her speed by 25%. 25% of 60 is 15, so she is now going 75 miles per hour (Part A). If she continues to drive this way, the equation would be 75xh=d. 75 being how fast she's going and h being the number of hours she's gone. If you multiple those two together it will give you the distance she's gone (Part B). If you substitute the 5 hours from Part C the equation would be 75 miles multiplied by 5 hours. 75x5= 375 miles.
What we know:
- number of meeting rooms = m
- chairs in each meeting room = 325
Since we need an equation to represent the number of chairs in m meeting rooms, we would multiply the amount of chairs per meeting room (325) by m. This amount is c. So the equation becomes:
c = 325m
Now the question asks for the amount of chairs if there are 7 meeting rooms in the hotel. To find this, substitute 7 for m into c = 325m.
c = 325m
c = 325(7)
c = 2275
Answer:
The equation is c = 325m, and the amount of chairs if m equals 7 is 2,275.
