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ELEN [110]
3 years ago
10

Y=-x+2 y=-5x-6 What is y and x

Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0
To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:

-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2

Now that we have x, we can substitute it into one of the equations to find y:

y = -(-2) + 2
y = 2 + 2
y = 4

The last step is to substitute both values into both equations to see if they are correct:

4 = -(-2) + 2    -->    4 = 2 + 2    <--True
4 = -5(-2) - 6    -->    4 = 10 - 6    <--True

Answer:
x = -2
y = 4
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Explain why every other number is an even number.
ICE Princess25 [194]
Even numbers can be divided into two equal groups while odd numbers cannot so every other number is an even number because it can be divided into two equal groups
4 0
3 years ago
2 2/3 + 12 6/8 how do I work this
barxatty [35]

Answer:

\large\boxed{2\dfrac{2}{3}+12\dfrac{6}{8}=15\dfrac{5}{12}}

Step-by-step explanation:

2\dfrac{2}{3}+12\dfrac{6}{8}=2\dfrac{2}{3}+12\dfrac{6:2}{8:2}=2\dfrac{2}{3}+12\dfrac{3}{4}\\\\\text{Find}\ LCD:\\\\\text{List of multiples of 3:}\ 0,\ 3,\ 6,\ 9,\ \boxed{12},\ 15,\ ...\\\text{List of multiples of 4:}\ 0,\ 4,\ 8,\ \boxed{12},\ 16,\ ...\\\\12=3\cdot4\\\\\text{therefore}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}\\\\\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\2\dfrac{2}{3}+12\dfrac{3}{4}=2\dfrac{8}{12}+12\dfrac{9}{12}=(2+12)+\dfrac{8+9}{12}=14+\dfrac{17}{12}\\\\=14+1\dfrac{5}{12}=15\dfrac{5}{12}

3 0
3 years ago
Select the solution(s) of the original equation. 3+ √21/2+4 3+ √21/2-4 3- √21/2+4 3-√21/2-4​
jarptica [38.1K]

Answer:

2nd and 4th on edg

Step-by-step explanation:

3+21pi / 2 +4

3-21pi / 2 -4

4 0
2 years ago
Read 2 more answers
How to solve this? Please explain your answer! Thanks!
Murrr4er [49]

Answer:

The mean.

Step-by-step explanation:

I would use the mean as the measure of central tendency.

It is the best representation of the data as the variability isn't high; I'd only use the median if outliers are present because outliers don't affect it.

Because there are no outliers here, the mean is better.

Hopefully I helped :)

4 0
3 years ago
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume
aalyn [17]

Answer : The correct option is, (A) 54\pi cm^3

Step-by-step explanation :

First we have to calculate the volume of cylinder.

Formula used:

Volume of cylinder = \pi r^2h

where,

r = radius = 3 cm

h = height = 18 cm   (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)

Volume of cylinder = \pi (3cm)^2\times (18cm)

Volume of cylinder = 162\pi cm^3

Now  we have to calculate the volume of 3 solid spheres.

Formula used:

Volume of 3 spheres = 3\times \frac{4}{3}\pi r^3

Volume of 3 spheres = 4\pi r^3

Volume of 3 spheres = 4\pi (3)^3

Volume of 3 spheres = 108\pi cm^3

Now we have to calculate the amount of empty space within a cylinder.

Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres

Amount of empty space within a cylinder = 162\pi cm^3-108\pi cm^3

Amount of empty space within a cylinder = 54\pi cm^3

Therefore, the amount of empty space within a cylinder is, 54\pi cm^3

5 0
3 years ago
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