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3 years ago

How to solve -3(4R-8)-36

Mathematics

1 answer:

natima [27]3 years ago

7 0

Answer: -12r-12

Step-by-step explanation: There is no equals sign so you can't solve it but you can simplify it. You start out with -3(4r-8)-36. Then, you use PEMDAS. (-3×4r)+(-3×-8)-36. Then, it turns into -12r×+24-36. You just continue to simplify until you can't anymore. You end up with -12r-12.

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

50 (x+ 10) = 240<br> Whats the value for x

Katen [24]

Answer:

-26/5 or -5.2

Step-by-step explanation:

First, you need to expand the parentheses:

50x+500=240

Now, subtract 500 from both sides:

50x=-260

Now, divide both sides by 50

x=-26/5=-5.2

Hope this helps!

3 0

3 years ago

Read 2 more answers

Finish multiplying<br> 10/3 ⋅11/12?

Mazyrski [523]

When multiplying fractions, just multiply straight across

10 x 11 = 110
3 x 12 = 36

110/36 is your answer

3 1/18 is simplified mixed fraction

hope this helps

5 0

3 years ago

Read 2 more answers

Marking as brainliest !!!!

stepan [7]

Step-by-step explanation:

The diameter of the circle is 4 inches so its radius r is 2 inches. The area of the circle is

$A = \pi r^2 = \pi(2\:\text{in})^2 = 12.57\:\text{in}^2$