Answer:
C. 
Step-by-step explanation:
Let be the parametric equations
and
, we need to clear
and eliminate it afterwards to obtain a function of the form
:


(1)


(2)
By (1) and (2):



Hence, the correct answer is C.
Answer:
If you rotate the triangles so that they look the same, one side of both of them are labeled. This gives you the fraction 9/12, or 3/4. The smaller triangle is 3/4th of the larger one. If the larger triangle has 4 on one side, then let's make the equation 3/4 = y/4. The length of y is 3. :)
Answer:
y = x²/4 + x/2 + 21/4 ⇒ -9 ≤ x ≤ 7
Step-by-step explanation:
∵ x = 2t - 1
∴ 2t = x + 1 ⇒ t = (x + 1)/2
∵ y = t² + 5
∴ y = [(x + 1)/2]² + 5 = (x² + 2x + 1)/4 + 5
y = x²/4 + x/2 + 1/4 + 5 = x²/4 + x/2 + 21/4
∵ -4 ≤ t ≤ 4
∴ -9 ≤ x ≤ 7
Based on the calculations, the slope of line YZ in simplest form is equal to 2.
<h3>How to determine the slope of YZ?</h3>
Mathematically, the slope of a straight line can be calculated by using this formula;

Since points X, Y, and Z are collinear, we can deduce that the line passes through line Z at 6 units form the origin and 3 units for Y from the origin.
Substituting the parameters into the formula, we have;

Slope, m = 6/3
Slope, m = 2.
Read more on slope here: brainly.com/question/17601248
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