Answer:
-6
Step-by-step explanation:
The slope of a line is given with the formula
Using the first two points, (-2, 8) and (-1, 2), we have
m = (2-8)/(-1--2) = -6/(-1+2) = -6/1 = -6
Answer:
16 inches
Step-by-step explanation:
<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>
<u>Given</u>
- Diameter of the wheel = 16 in
<u>Full circumference of the wheel </u>
<u>Bike moves </u>
<u>The wheel turns:</u>
We only consider her 0.5 of full turn of the wheel to identify the screw position
Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.
This is the full diameter length, which is 16 inches
So correct answer option is 16 inches
Answer:
Step-by-step explanation:
The easiest way to fill out the graph is to find the slope.
The slope is y = 2x + 1.
Insert the x values of the graph for x in the equation to find y.
y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).
y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).
Then, for finding x, just insert y.
1 = 2x + 1. Subtract 1 from both sides to isolate x.
0 = 2x. x = 0. (0, 1).
y = 2(2) + 1 = 4 + 1 = 5. (2, 5)
3 = 2x + 1. Subtract 1 from both sides.
2 = 2x. x = 1. (1, 3).
The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.
Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.
Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
