Answer:
(3, -3)
Step-by-step explanation:
Use the midpoint formula.
x = (x₁ + x₂) / 2
-1.5 = (-6 + x) / 2
-3 = -6 + x
x = 3
y = (y₁ + y₂) / 2
1 = (5 + y) / 2
2 = 5 + y
y = -3
The other endpoint is (3, -3).
Graph: desmos.com/calculator/aze920ns2h
Answer: 81 units²
Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.
Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.
Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.
So the area of a square that has a perimeter of 36 is 81 units².
Answer:
y=0.5x+3
Step-by-step explanation:
Divide both sides by 2 which will give you y=0.5x+3.
Answer:
3
Step-by-step explanation:
So we have the function:
To evaluate the value of f(-2), substitute -2 for x. Thus:
Square first:
Multiply:
Now, subtract:
So:
And we're done!
This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
