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Varvara68 [4.7K]

3 years ago

15

Write the equation of the line that is parallel to the line y = 3x – 5 and passing

1 answer:

sergey [27]3 years ago

7 0

Y=3x+17

this passes through the point (-5,2) and is parallel to y=3x-5

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8(3x - 4) = 4x - 2<br> What is x?

Serga [27]

Answer:

x=2/3

Step-by-step explanation:

8 (3x-4)= 4x-2

24x-32= 4x-2

20x=30

x=2/3

4 0

3 years ago

A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of

Georgia [21]

Answer:

$9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}$

Step-by-step explanation:

The area of a circle is given by $r^2\pi$ where $r$ is the radius of the circle. The diameter is given as $6$ feet, so the radius of this circle is $\frac{6}{2}=3$ feet.

Plugging in our values, we get:

$3^2\pi=9\pi\approx28.27$ .

7 0

3 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

Easy math problems!!!

neonofarm [45]

Answer:

Rad 68

Step-by-step explanation:

84- 4^2=68

7 0

3 years ago

Read 2 more answers

Please help. Thank you in advance.

ivolga24 [154]

Answer:

The second choice is the same so it is the last one

7 0

3 years ago