Nikita's distance from her for the second part of the race was 1.5 kilometers.
Since Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand, and in the first part of the race, her average speed was 8.75 kilometers per hour, while for the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour, to determine which expression represents Nikita's distance for the second part of the race the following calculation must be performed:
- 8.75 x 0.65 + 6 x 0 = 5.68
- 8.75 x 0.50 + 6 x 0.15 = 5.275
- 8.75 x 0.40 + 6 x 0.25 = 5
-
100 = 60
- 40 = X
- 40 x 60/100 = X
- 24 = X
- 39 - 24 = 15
- 15 = 1/4 hour
- 6/4 = 1.5
Therefore, Nikita's distance from her for the second part of the race was 1.5 kilometers.
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After reflected over the triangle the point a become A = (-1,-6). The option c is correct.
According to the statement
we have given that the a triangle ABC at the points A=(1,6) B=(-3,5) C=(7,1), and we have to find the points of a when the triangle is first reflected over the y axis.
So, For this purpose
we know that the when the triangle is at the x axis then the point A is A=(1,6).
But when the triangles reflected over the y - axis then the point A goes to the negative side of the graph. In other words whole of the triangle shift to the negative side of the graph. That's why the point become negative.
So, The option c is correct. After reflected over the triangle the point a become A = (-1,-6)
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Answer:
x=80* y=20* and X=100*
Step-by-step explanation:
If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.
We know that a triangle adds up to 180 degrees.
Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).
By opposite angles, QXP is equal to 80 degrees also.
Then we are left with solving for X.
Supplementary angles add up to 180 degrees.
Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.
Answer:
Step-by-step explanation:
For any polynomial, we can determine the degree by finding the variable with the largest exponent. For the given polynomial:
we can see that 
contains the variable with the highest exponent, 4, so the degree of this polynomial is 4.
Answer:
24cm^2
Step-by-step explanation:
A=bh
a=base x height..
8 x 3=24cm (^2 because its area)
