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Vikki [24]
3 years ago
12

What are the independent and dependent variables?

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0
Independent variables are variables that the dependent variables depend on.
Independent variables don’t rely on another variable.
While the dependent variable relies on the independent variable.
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The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?
slamgirl [31]

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

4p(y-k)=(x-h)^2

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

3 0
3 years ago
X^2 - 7x - 18 please help and show work
Sonbull [250]
What are you trying to do with this? I can help but what are you trying to do with it.
4 0
3 years ago
Find the Area. Use 3.14 for Pi. Label your answer with ft2.
aivan3 [116]

Answer:

133.04ft²

Step-by-step explanation:

Area of a circle is:

A=\pi r^2\\\\r - \text{Radius.}

We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.

Using 3.14 for pi:

A=3.14(6)^2\\\\A=3.14*36\\\\A\text{ } $$\approx$$\text{ }113.04

The area is appropriately 133.04ft².

Hope this helps.

8 0
3 years ago
Read 2 more answers
How can the additive inverse be used to evaluate the problem below?
kondaur [170]

Answer:

Step-by-step explanation:

HEYAA!!!!!

OPTION D

To get the additive inverse of a positive number you put a minus in front of it and to get the additive inverse of a negative number, you remove the minus to make it a positive number.

because when u see the equation u can see it is -3-(-6)

which if u solve it the answer is -3+6=3

so the correct option is  (D)

HOPE U UNDERSTOOD

4 0
4 years ago
Read 2 more answers
A new shirt cost $14.99 if the shirt is on sale for 1/5 of its price, about how much would you save? Show work
d1i1m1o1n [39]
You would save £3
15/5=3
4 0
3 years ago
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