Answer:
15.4 gallons .
Step-by-step explanation:
The rate of gas used = 380/14 = 27.14 gallons per gallon.
So for each gallon used you drive 27.14 miles.
So number of gallons used when travelling 418 miles = 418/27.14
= 15.4 gallons .
Use the FOIL method (first, outside, inside, last) to multiply:
2x^2-8x+3x-12
This can be simplified even more into:
2x^2-5x-12.
Hope this helped!
Answer:
Figure 1
Step-by-step explanation:
Congruent shapes are shapes that share the same side lengths and angle measures. In figure 1, we see that all sides and angles are marked equal, thus both shapes are congruent. However, in figure 2, we clearly see that the sides of each of the triangles are different. Thus, the triangles in figure 2 are not congruent.
Answer:
y=-5/3x+13.
Step-by-step explanation:
As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.
