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3 years ago

Help me solve this equation! 4x + 10 = -2y Remember to use the y = mbx+b formula!

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

5 0

Y=-2x-5
You can divide by -2 on both sides of the equal sign getting the answer above.

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Please help, thanks. I don't understand how to do this.

konstantin123 [22]

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

6 0

3 years ago

2,5, 25/2, ... find the 10th term

notka56 [123]

Answer:

The $10^{th}$ term of the given sequence

$t_{10} = \frac{5^{9} }{2^{8} }$

Step-by-step explanation:

Step(i):-

Given sequence 2 , 5, $\frac{25}{2}$

First term a = 2

The difference of given geometric sequence

$d = \frac{r_{2} }{r_{1} } = \frac{5}{2}$

Step(ii):-

The $n^{th}$ term of the given sequence

$t_{n} = ar^{n-1}$

The $10^{th}$ term of the given sequence

$t_{10} = (2)(\frac{5}{2} )^{10-1}$

$t_{10} = (2)(\frac{5}{2} )^{9}= \frac{5^{9} }{2^{8} }$

8 0

3 years ago

A cylinder has a radius of 10 M and a height of 8 AM what is the exact volume of the cylinder

natita [175]

$\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill$

7 0

3 years ago

What are two factors of the composite number 46 other than 1 and 46?

tester [92]

Answer:

Step-by-step explanation:

3 0

3 years ago

Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of

vivado [14]

So Volume of cylinder is pi*r^2*h = 1,000

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h

So now you have 2 equations, so:

h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r

Derivative of SA is then 2pi*r -2,000/r^2. Set to 0

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
h = 10 / pi^(1/3)

3 0

3 years ago