The coordinates of the midpoint of AB is (4.5, -1.5)
We can find this by taking the average of each coordinate. The average of the x's (2 and 7) is 4.5, while the average of the y's (-4 and 1) is -1.5.
The coordinates of the midpoint of CD is (-5.5, 1)
We can find this by taking the average of the coordinates as we did in the first one. The average of the x's (-3 and -8) is -5.5, while the average of the y's (-2 and 4) is 1.
Answer: the efficiency of the first car is 25 miles per gallon.
the efficiency of the second car is 30 miles per gallon.
Step-by-step explanation:
Let x represent the efficiency of the first car.
Let y represent the efficiency of the second car.
Distance = car efficiency × number of gallons.
The first car consume 25 gallons of gas and the second consumed 15 gallons of gas. The two cars Drove a combined total of 1075 miles. It means that
25x + 15y = 1075- - - - - - - - - - -1
The sum of the fuel efficiencies was 55 miles per gallon. It means that
x + y = 55
Substituting x = 55 - y into equation 1, it becomes
25(55 - y) + 15y = 1075
1375 - 25y + 15y = 1075
- 25y + 15y = 1075 - 1375
- 10y = - 300
y = - 300/-10
y = 30
x = 55 - y = 55 - 30
x = 25
The consecutive integers are i, i+1, i+2, i+3.
3 less than sum of the integers
= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3
Answer:
<em>Perimeter of ABC = AB + BC+AC. Replace letters with equations.</em>
<em>3x^2-7x+2</em><em> = </em><u><em>2x^2-10x+6 + x^2-x-4 + AC</em></u><em> = </em><em>3x^2-11x+2 + AC</em><em>.</em>
<em>AC = 4x;</em>
Option c is your answer 3xy + 7x4