Step-by-step explanation:
hope this help have a great day
Solve the equation we have that:
a. S = 3V²/ 4
b. S = 108 feet
<h3>How to solve the parameters?</h3>
We have the equation to be;
V = 2√3S
Where;
- V is the speed
- S is the length
Let's make S the subject from the formula, divide both sides by 2√2S = v/ 2. Take square of both sides:

Now we need to divide both sides by three:
S = 3V²/ 4
b. If v = 12miles per hour, substituting in the equation found earlier:
S = 3 (12²)/ 4
S= 432/ 4
S = 108 feet
Thus, the formula for the length is S = 3V²/ 4
Learn more about speed here: brainly.com/question/7359669
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Answer:
x = +-sqrt(3) and they are the actual solutions
Step-by-step explanation:
x^2/ (2x-6) = 9/(6x-18)
get a common denominator of 6x-18
x^2/ (2x-6) * 3/3 = 9/(6x-18)
3x^2/ (6x-18) = 9/(6x-18)
since the denominators are the same, the numerators must be the same
3x^2 = 9
divide by 3 on each side
x^2 = 3
take the square root of each side
sqrt(x^2) = +-sqrt(3)
x = +-sqrt(3)
Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180