Answer:
the vertex of the parabola is:(-2,0)
the focus of the parabola is:(-2,
)
the directrix of the parabola is:y=
Step-by-step explanation:
we know that for any general equation of the parabola of the type
the vertex of the parabola is given by (h,k)
where
and 
therefore by the given data we have h=-2 and k=0
hence vertex=(-2,0)
the general equation of the parabola of the type
; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a
so focus is 
now the directrix of the parabola is
.
By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
<h3>How to find the missing side?</h3>
By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
- Opposite side = x inches.
- Adjacent side = 7 inches.
Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Remark
What this is telling you to do is put 3x + 3 in the question wherever there was an x to start with.
Solution
f(x) = -3x + 4
f(3x + 3) = - 3(3x + 3) + 4
f(3x + 3) = -3*3x + (-3)*(3) + 4
f(3x + 3) = - 9x - 9 + 4
f(3x + 3) = -9x - 5 <<<<< Answer
Two dozen eggs are 24 eggs in numeral quantity