The ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
<h3>Similarity theorem of triangles</h3>
For two triangles to be similar, the ratio of the measure of similar sides of the triangle must be equal to a constant known as a scale factor.
From the given figures, the expression that can be used to prove that the triangles are similar is as shown;
UV/ZY = WU/ZX = WV/XY
Hence the correct option is to show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Learn more on similar triangles here; brainly.com/question/11920446
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A) We want to know when h=10 so
10=-16t^2+40t+3
16t^2-40t+7=0
Using the quadratic formula:
t=(40±√1152)/32
t≈0.189 and 2.311 seconds
So it is at 10 ft twice, about 2/10 of a second when it is rising and at 2 3/10 of a second when it is falling...
b.
The maximum height of the ball is when velocity is equal to zero, or dh/dt=0
dh/dt=-32t+40, dh/dt=0 when 32t=40, t=40/32=5/4=1.25 seconds
h(1.25)=28ft
So the maximum height of the ball occurs after 1.25 seconds and reaches a height of 28 feet.
For this case we have the following function:
y = 9 (3) ^ x
Applying the following transformations we have:
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
y = 9 (3) ^ (x-2)
Vertical translations
Suppose that k> 0
To graph y = f (x) -k, move the graph of k units down.
y = 9 (3) ^ (x-2) - 6
Answer:
2 units to the right
6 units down
Answer: 3 1/2 ( mixed number)
Step-by-step explanation:
- First you have to put 3.5 into na fraction
- In a fraction it is 35/10
- as a mixed number, it would be: 3 5/10 ( a mixed number )
- Bur we still have to simplify so simplified would be: 3 1/2 ( mixed number)
