Answer:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
Step-by-step explanation:
Given the equation
The points which satisfy the equation y=13x+5
y = 13x+5
Checking the point (0, 5)
5 = 13(0)+5
5 = 0 + 5
5 = 5
TRUE
Checking the point (-2, -21)
-21 = 13(-2)+5
-21 = -26 + 5
-21 = -21
TRUE
The points which satisfy the equation y=-3x
y = -3x
Checking the point (0, 0)
0 = -3(0)
0 = 0
TRUE
Checking the point (-5, -15)
y = -3x
-15 = -3(-5)
-15 = -15
TRUE
Checking the point (-3, 9)
y = -3x
9 = -3(-3)
9 = 9
TRUE
The points which satisfy the equation y=x-10
y = x-10
Checking (8, -2)
-2 = 8 - 10
-2 = -2
TRUE
Therefore, from the above calculations we conclude the summary:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
Answer:
n ≥ 50
Step-by-step explanation:
Total pages = 370
Read pages = 20
Number of days remaining = 7
Reading rate per day = n
7n + 20 ≥ 370
7n ≥ 370 - 20
7n ≥ 350
n ≥ 350/7
n ≥ 50 pages per day for the remaining 7 days
Answer:
The answer is not in the options, it is 67.5
Step-by-step explanation:
135/2 = 67.5
We have the equation:
By arranging this equation in terms of x and y, we have:
By using the method of completing the square, we have:
The center of this circle is:
So the equation that fulfills the statement is:
Finally, the right answer is c)
