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Sergeu [11.5K]
3 years ago
10

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

Mathematics
1 answer:
Andrews [41]3 years ago
3 0
It’s (-8z^2 +8x +4y -2z)

Hope it helps
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What is the standard equation for a circle with the center (2,1) and passing through (0, 1)
Volgvan
The radius is the distance from the center to any point.  The distance from (2,1) to (0,1) is of course 2.  The general formula for a circle with radius r and center (a,b) is

(x-a)^2 + (y-b)^2 = r^2

In our case we get

(x-2)^2 + (y-1)^2 = 4

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Find the sum of the convergent series 7 0.7 0.007
mafiozo [28]
7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)

Let S_n denote the nth partial sum of the series, i.e.

S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}

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\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
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As n\to\infty, the exponential term vanishes, leaving us with

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Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10
Zina [86]

Answer:

The equation of the line would be y = -1/3x - 4

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

2x + 6y = 10

6y = -2x + 10

y = -1/3x + 5/3

Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

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y + 5 = -1/3x + 1

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3 years ago
(1,5) (2,7)<br> How to find the equation of the line passing through the given points
IceJOKER [234]

Answer:

y = 2x - 3

Step-by-step explanation:

to do this problem, we will use the following formula to find the slope of the line

(y2 - y1) / (x2 - x1)

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finally, we put it all together into one equation

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2 years ago
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