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Anna007 [38]
3 years ago
11

Find the midline for f(x)=−2+4cosx.

Mathematics
1 answer:
diamong [38]3 years ago
7 0
The mid-line for f(x) = 4cos x is y = 0. In the given equation, the term -2 is described as the y-shift. Therefore the mid-line for f(x) = -2 + 4cos x is:
y = -2.
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Vertex (0,1) x intercepts is - 1 and 1 what is the equation of the parabola?
MrRa [10]
\bf y=a(x-{{ h}})^2+{{ k}}\\
x=a(y-{{ k}})^2+{{ h}}\qquad\qquad  vertex\ ({{ h}},{{ k}})

those are the vertex form of a parabola... so hmmm
the vertex of this one is at 0,1 and intercepts or "solutions" are at -1 and 1, so is opening downwards, notice the picture below

that means, the squared variable is the "x", thus the form is \bf y=a(x-{{ h}})^2+{{ k}}

now, we know the vertex is at 0,1, and two x-intercepts of \pm 1,0

thus      \bf y=a(x-{{ h}})^2+{{ k}}\qquad 
\begin{cases}
h=0\\
k=1\\
when
\\
x=\pm 1\\
y=0
\end{cases}
\\\\\\
\textit{so.. hmmm let us use the point ... say hmmm 1,0}
\\\\
y=a(x-{{ h}})^2+{{ k}}\implies 0=a(1-0)^2+1

solve for "a", to see what that coefficient is, then plug it back in the vertex form equation

6 0
3 years ago
Help ASAP, Brainliest to whoever answers!
GREYUIT [131]

Answer:

these are the ten numbers :

0 8 2 6 9 2 0 8 0 0

8 0
4 years ago
Which of the following is the radical expression 5/a to the 7th power
Leto [7]

When an exponent is a fraction, the denominator is written as a root, while the numerator is the power:

Since a is to the power of 5/7, the 7 becomes the 7th root, and the 5 becomes a^5. This is:

7th root of (a^5), or(B).

3 0
3 years ago
Find the slope of a line through the points (-1,-9) and (4,-2).
sveticcg [70]

The answer is 7/5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

5 0
3 years ago
Read 2 more answers
Solve the following system of equations
GrogVix [38]

Answer:

Step-by-step explanation:

y = x - 5

2x - 5y = 1

2x - 5(x - 5) = 1

2x - 5x + 25 = 1

-3x + 25 = 1

-3x = -24

x = 8

y = 8 - 5

y = 3

(8, 3)

4 0
4 years ago
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