Squaring both sides of the given equation: w^2=7w, or w^2-7w=0.
w^2-7w=0 can be factored: w(w-7)=0. Then, w=7 or w=0. Both 0 and 7 are solutions of this equation.
Well, we need to consider the x and y coordinates of the giben points, and check wether the y coordinate is greater than twice the x coordinate minus 1 (i.e. 2x-1):
- For the first point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is 2, and 2>-1. So, this point is a solution.
- For the second point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 2, and 2<7. So, this point is not a solution.
- For the third point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is -10, and -10<-1. So, this point is not a solution.
- For the fourth point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 1, and 1<7. So, this point is not a solution.
Answer:
55.734 mph
Step-by-step explanation:
Let's call the wind speed x and the time of flight t.
Then, we can write the following equation, knowing that the distance is equal speed times time of flight:
910 = (350+x) * t
660 = (350-x) * t
If we isolate t in both equations and compare its value, we have that:
910 / (350+x) = 660 / (350-x)
(350+x)/(350-x) = 910/660
350 + x = 1.3788 * (350-x)
350 + x = 482.58 - 1.3788x
2.3788x = 132.58
x = 55.734 mph
The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.
<h3>How to solve the fraction?</h3>
From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:
= 12/16
= 3/4
Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:
= 3/4 × 20
= 15
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The small sign's perimeter is 36 inches
Step-by-step explanation:
The scale factor between two figures is obtained by:
So,
We know that
Putting the values in the above equation of scale factor we get
Cross multiplication
Dividing both sides by 5
Hence,
The small sign's perimeter is 36 inches
Keywords: Scale factor, Ratio
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