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3 years ago

15

Find an equation for the line perpendicular to x= -3 and goes through the point (-9, -2)

1 answer:

Damm [24]3 years ago

7 0

Answer:

y = -2

Step-by-step explanation:

The line x = -3 is a vertical one; the slope of a line perpendicular to x = -3 is zero (0). Recall that the slope of a vertical line is undefined and that of a line perpendicular to a vertical line is 0.

Then, to write the equation of the perpendicular line, we borrow the '-2' from (-9, -2) and write y = -2. This line does indeed pass through (-9, -2) and every other point whose y-component is -2.

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Why does this series converge?<br> ∞<br> ∑ (n+1)/[(n)(n+2)(n+3)]<br> n=1

ollegr [7]

Compare the series to the convergent series,

$\displaystyle\sum_{n=1}^\infty\frac1{n^2}$

By the limit comparison test, the given series converges because

$\displaystyle\lim_{n\to\infty}\frac{\frac{n+1}{n(n+2)(n+3)}}{\frac1{n^2}}=\lim_{n\to\infty}\frac{n(n+1)}{(n+2)(n+3)}=1$

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3 years ago

The function of g(x)=8^2-48+65 written in vertex form is g(x)= 8(x-3)^2-7 what is the vertex of g(x)

Iteru [2.4K]

The vertex is where g(x) = 0
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4 years ago

What is the value of 30^0?

ElenaW [278]

Answer:

Value is 1.

Step-by-step explanation:

To find the value of $30^0$

$\text{Any number raised to the power of zero}$ is always equal to 1, but if zero to the power 0 is not defined.

Or simply we say that:

$\text{Any non-zero number raised to the power of zero}$ is always equal to 1

Here,

A non-zero number = 30 ≠0

then;

by definition:

$30^0 = 1$

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4 years ago

Read 2 more answers

Can u answer this please

Svetradugi [14.3K]

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 4)² + (y - 3)² = 16 ← is in standard form → C

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3 years ago

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Mariulka [41]

Number 5 is 145 degrees

Number 6 is 135 degrees

Number 7 is 130 degrees

Number 8 is 85 degrees

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3 years ago