2/3 is equivalent to 16/24
and 5/8 is equivalent to 15/24 miles
15/24+16/24= 31/24
31/24 simplifies to 1 6/24
Which simplifies down to 1 1/6
Miles ran 1 and 1/6 miles
The answer is choice D
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Explanation:
We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.
The answer is either choice A or choice D
If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625
The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.
Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.
Answer:
Rotation.
Step-by-step explanation:
There are three rigid motions (which do not change the shape and size of the figures): rotation, translation and reflection.
You make a rotation of a figure when you turn it about a fixed point (which can be inside, on an edge or outside the figure) and it is measured in degrees. The rotation can be clockwise or counterclockwise.
Answer:
-4
Step-by-step explanation:
The equation for slope is as follows:
<h2>

</h2>
We can use point P and point V's coordinates to find the slope.
Point P is at (2,4)
Point V is at (3,0)
Let's define all the variables:
y2 = 0 (from point V)
y1 = 4 (from point P)
x2 = 3 (from point V)
x1 = 2 (from point P)
Now that we have all the variables we can plug it into the equation:

Therefore, the slope of line PV is -4.
<em>I hope this helps!!</em>
<em>Feel free to ask any questions!</em>
<em>- Kay :)</em>