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Ray Of Light [21]
3 years ago
13

What are the coordinates of the midpoint of the segment whose endpoints are (-4,6) and (-8,-2)

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0
The formula to find the midpoint of a segment is ((x1 + x2)/2,),(y1 + y2)/2).

The x coordinate of the first point is -4, and the x coordinate of the second point is -8.  The y coordinate of the first point is 6, and the y coordinate of the second point is -2.  Now, we can plug these into our formula.

((-4 + (-8))/2), (6 + (-2))/2)) = (-12/2), (4/2) = (-6, 2)

So, (-6, 2) is the midpoint of the segment.
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Find the zeros of the polynomial function and state the multiplicity of each.
zheka24 [161]
\bf f(x) = 4(x + 7)^2(x - 7)^3\implies 0 = 4(x + 7)^2(x - 7)^3
\\\\\\
0=(x+7)^2(x-7)^3\implies 
\begin{cases}
0=(x+7)^7\\
\qquad 0=(x+7)(x+7)\\
\qquad -7=x\\
\qquad -7=x\\
----------\\
0=(x-7)^3\\
\qquad 0=(x-7)(x-7)(x-7)\\
\qquad 7=x\\
\qquad 7=x\\
\qquad 7=x
\end{cases}

the -7 is found there twice, so it has a multiplicity of 2
the +7 is there thrice, so it has multiplicity of 3
7 0
3 years ago
What's greater 9.202 or 9.209​
Sav [38]

Answer:

9.209

Step-by-step explanation:

On the thousandths place, 9 is bigger than 2.

5 0
3 years ago
Read 2 more answers
Which expression is equivalent?
MrMuchimi

Answer:

The Third one.

Step-by-step explanation:

So, Turn the mixed number, 2 1/4, to an improper fraction, 9/4. Then match the answer!

If you need anything else, just message me!

Have a nice day! :)

8 0
2 years ago
Does anyone know how to solve this? It’s really starting to stress me out.
bekas [8.4K]

Answer:

π − 12

Step-by-step explanation:

lim(x→2) (sin(πx) + 8 − x³) / (x − 2)

If we substitute x = u + 2:

lim(u→0) (sin(π(u + 2)) + 8 − (u + 2)³) / ((u + 2) − 2)

lim(u→0) (sin(πu + 2π) + 8 − (u + 2)³) / u

Distribute the cube:

lim(u→0) (sin(πu + 2π) + 8 − (u³ + 6u² + 12u + 8)) / u

lim(u→0) (sin(πu + 2π) + 8 − u³ − 6u² − 12u − 8) / u

lim(u→0) (sin(πu + 2π) − u³ − 6u² − 12u) / u

Using angle sum formula:

lim(u→0) (sin(πu) cos(2π) + sin(2π) cos(πu) − u³ − 6u² − 12u) / u

lim(u→0) (sin(πu) − u³ − 6u² − 12u) / u

Divide:

lim(u→0) [ (sin(πu) / u) − u² − 6u − 12 ]

lim(u→0) (sin(πu) / u) + lim(u→0) (-u² − 6u − 12)

lim(u→0) (sin(πu) / u) − 12

Multiply and divide by π.

lim(u→0) (π sin(πu) / (πu)) − 12

π lim(u→0) (sin(πu) / (πu)) − 12

Use special identity, lim(x→0) ((sin x) / x ) = 1.

π (1) − 12

π − 12

3 0
3 years ago
Is shipping box is a shape of a cube. Each side measures 3c^6d^2 inches. Express the volume of a cube has a monomial.
liubo4ka [24]
Length of each side of cube is = 3c^6d^2

SO the volume of cube = (Side)^3
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                                      = 27 * (c^6)^3(d^2)^3
                                      = 27c^{18}d^6

SO the volume of cube is 27c^{18}d^6
9 0
3 years ago
Read 2 more answers
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