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Drupady [299]
3 years ago
15

What is the simplified form of the expression -2(-5x - 8)?

Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer: 10x+16

Step-by-step explanation:

Use the distributive property a(b+c)= ab+ac

so

-2(-5x-8) = (-2 * -5x) - (-2* -8)

=

10x-(-16)

=10x+16

Hope this helped!

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13 ounces to pound as a fraction
lesya692 [45]

Answer:

13/16

Step-by-step explanation:

3 0
2 years ago
What fraction makes this division<br> sentence true? <br> 2/3 divided by ? = 4
NeX [460]

Answer:

1/6

Step-by-step explanation:

The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.

2/3 x 6 = 4

So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.

The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.

(2/3)/(1/6) = 4

6 0
3 years ago
Cd has an endpoint at (2, -1) and a midpoint at (8, 3). which measure is closest to the length of cd
stepladder [879]

Answer:

4\sqrt{13}

Step-by-step explanation:

The length of CD will be twice the distance from the midpoint to the endpoint

To calculate the length use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)

d = 2 × \sqrt{(8-2)^2+(3+1)^2}

  = 2 × \sqrt{6^2+4^2}

  = 2 × \sqrt{52}

  = 2 × \sqrt{4(13)}

  = 2 × 2\sqrt{13} = 4\sqrt{13} ← exact length

8 0
3 years ago
How do you solve this problem?
jekas [21]
Very nice problem. You should look up the history of this question. It has a very long one having to do with mirrors made between 50 BC and 50 AD.

Step One
Find AB, BC, AC
Before beginning this problem, I'm going to arbitrarily name 
c = AB
a = BC
b = AC It just makes the calculations easier.

AB = radius of the large circle - radius of the medium circle = 20.62 - 8.04 = 12.58
BC = Radii of the two smaller circles added together = 8.04 + 7.35 = 15.39
AC = Radius of the large circle - Radius of the small circle = 20.62 - 7.35 = 13.27

So
a = 15.39
b = 13.27
c = 12.58

Step Two
Find Angle A or <BAC
a^2 = b^2 + c^2 - 2*b*c * Cos(A)
15.39^2 = 12.58^2 + 13.27^2 - 2 * 12.58 * 13.27 * Cos(A)
236.852 = 158.26 + 176.1 -  333.87 * Cos(A)
236.852 = 334.4 - 333.87*Cos(A)
-97.55 = - 333.87 *  Cos(A) 
-97.55 / -333.87 = Cos(A)
0.2922 = cos(A)
A = cos-1(0.2922)
A = 73.01 degrees

Step Three
Just to see if you understand what was done, I'll give you the givens for finding c, and the answer and you can work through the calculations to see if your answer agrees with mine. If it doesn't PM me.
c = 12.58
b = 13.27
a = 15.39

12.58^2 = 13.27^2 + 15.39^2 - 2*13.27*15.39*Cos(C)
C = 51.42

Step Four
Find <B
Every triangle has 180 degrees so
B = 180 - <A - C
B = 180 - 51.42 - 74.01
B = <54.57. 
I have found a moderator who opened the question up so that I can show you why the Cos law is the only way to do this. If the circles are very disproportionate as in this diagram, then no simple assumption can be made. The cos law is all that will work. I would have posted this earlier, but I didn't think anyone would find another method. It's ingenious but not possible for the situation below.

3 0
3 years ago
Simplify The following equations
Y_Kistochka [10]
<span>mostly collect like terms
use associative property which is
(a+b)+c=a+(b+c)
also -a+b-c=(-a)+(b)+(-c) so you can move them around
and remember that:
you just use a general rule
x+x=2x
x^2+x^2=2x^2
3xy4xy=7xy
3x+4x^2=3x+4x^2
you can only add like terms( like terms are terms that are same name like x or y are differnt, and like terms have same power exg x^2 and x^3 and x^1/2 and such

I will oly put the naswers because I don't have much time

first one: 2a+3b+2c

second one: remember that -(-6c)=+6c so the answer is c-10a-2b

third one: -a-8b-5c
</span>
3 0
3 years ago
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