Answer:
The average speed was about 6,000 kilometers (or 3,200-3,700 miles)
Step-by-step explanation:
hope this helps!
Answer:
65.4
Step-by-step explanation:
60*.09 = 5.4
60+5.4 = 65.4
It is B because angle DBA is supplementary to angle DBE because together they create a straight line which equals 180 degrees.
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75