Given:
The expression is
To find:
Whether the two expression in the equation are equal or equivalent.
Solution:
If two expression are exactly the same, then they are equal and if the two expressions are different but the after simplification both are same, then they are called equivalent expressions.
We have,
Taking LHS, we get
On combining liker terms, we get
In the given equation both expression are different but after simplification LHS = RHS, therefore the expression are equivalent not equal.
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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Factors of 24: 1,2,3,4,6,8,12,24
factors of 30: 1,2,3,5,6,10,15,30
factors of 42: 1,2,3,6,14,21,42
Answer:
y = x² - 8x + 17
Step-by-step explanation:
Recall this formula:
y = a(x-h)² + k
Original equation was y = x², which in this form looks like
y = 1(x - 0)² + 0
If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..
y = (x-h)² + k
Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)
y = (x - 4)² + 1
y = x^2- 8x + 16+1
y = x² - 8x + 17
