20 and 0 are your answers
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
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<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
Answer:
distance covered in 2 hours = 80 km
distance covered in 1 hour = 80÷2 = 40 km
distance covered in 7/2 hours = 40 × 7/2
= 140 km
(3 1/2hours = 7/2 hours)
Answer:
C, 108 ft²
Step-by-step explanation:
To solve, we need to find the area of each of the shapes and then add them together.
The top rectangle's area: 8 * 3 = 24
The left triangle: 3 * 4 * 0.5 = 6
The middle rectangle: 8 * 4 = 32
The right triangle: 4 * 3 * 0.5 = 6
The bottom rectangle: 5 * 8 = 40
Add them all together.
24 + 6 + 32 + 6 + 40 = 108 ft²
Thus, the answer is C, 108 ft²
