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4 years ago

-5x + y = 35 x - 2y = 2 . Solve The System By Solution

2 answers:

5 0

Answer:

-5x+y=35x-2y=2

Rewrite it, {-5x+y=2, 3x-2y=2}

Multiply both sides of the first equation by 2, {-10x+2y=4, 3x-2y=2}

Eliminate a variable, -7x=6

Divide both sides by -7, x=-6/7

Substitute the value of x, 3(-6/7)-2y=2

Possible solution, y=-16/7

Now to check the solution, (x, y)=(-6/7, -16/7)

Simplify, -5(-6/7)-16/7=3(-6/7)-2(-16/7)=2

The ordered pair, 2=2=2

Answer, (x,y)=(-6/7,-16/7)

rodikova [14]4 years ago

3 0

Answer:

(-8,-5)

Step-by-step explanation:

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How to solve (-1,8) and (8,-8)

Volgvan

Step-by-step explanation:

1. If you are trying to find a linear equation from those two points, use the equation y2-y1 over x2-x1. y2-y1 just means the second point's y coordinate minus the first point's y coordinate (same goes for x2-x1).

2. So if you were to plug the coordinates into the equation, it would be: -8-8 over 8-(-1).

3. Solve to get -16/9 because -8-8=-16 and 8-(-1)=9, so -16/9. -16/9 is the slope of the line in the y=mx +b equation.

4. It would be written like y=-16/9x +b

5. Now we need to find b which is the y-intercept. To find this pick one of the points (we'll just do (-1,8)), and plug in the x and y coordinates and solve for b.

8=-16/9(-1) +b
multiply -16/9 by -1 which is 16/9
subtract from both sides for it to be 8-16/9 on the left side which is 6 2/9, and that is b

6. The complete equation is now y=-16/9x + 6 2/9

3 0

4 years ago

A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain?

kvasek [131]

Answer:

The swimming pool will contain approx $8243\ gal$ of water.

Step-by-step explanation:

Given the swimming pool is in a cylindrical shape.

And the dimensions are $20\ feet$ diameter with a height of $3.5\ feet.$

Also, $1\ ft^3 =7.5\ gal$

First, we will find the volume of the swimming pool.

The swimming pool is in cylindrical shape.

So, the volume would be $\pi r^2h$

The height $(h)$ is given as $3.5\ feet.$ To calculate radius $(r)$ we will divide the diameter by two.

The radius of the cylinder would be $\frac{20}{2}=10\ feet$

Plug these values in the formula we get,

$\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3$

Now, it is given $1\ ft^3 =7.5\ gal$

So, $1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal$

The swimming pool will contain approx $8243\ gal$ of water.

6 0

3 years ago

What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?

morpeh [17]

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-2(x-1)$

6 0

4 years ago

I do not understand any of the questions its asking :c

Agata [3.3K]

Answer:

Step-by-step explanation:

The total number of students is 350 + 50 + 225 + 375 = 1000.

There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.

There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.

The probabilities are not the same.

Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.

7 0

3 years ago

If the cube is divided into two equal parts by a plane parallel to the face defined by vertices 2, 3, 6, and 7, what will be the

notsponge [240]

The area of the cross-section is 169 sq. cm.

That is the correct answer to this problem

5 0

3 years ago