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pav-90 [236]
3 years ago
9

Solve the following system of equations. If there is no solution, write DNE in each coordinate of the

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

Answer:

1) solution is y = -7

2.) DNE

3.) Solution is y = -2

Step-by-step explanation:

1.) 2+3 = y + 12

Add the LHS and make y the subject of formula

5 = y + 12

Y = 5 - 12

Y = - 7

The solution of the equation is - 7

2.) 2 + 13 = 1 +8

Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.

3.) y - 7 = 2 - 11

Sum the RHS and make y the subject of formula

Y - 7 = -9

Y = -9 + 7

Y = -2

The solution of the equation is -2

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 The volume of a cylinder is
Dima020 [189]

The volume of a cylinder is equal to \frac{1}{3}\pi  r^{2} h, where r is the radius of the cylinder and h is its height.

324 =  \frac{1}{3}\pi  r^{2} h

324 = \frac{1}{3} x 3.14 x r^{2} x 1

309.55 = r^{2}

r = \sqrt{309.55}

r = approx. 17.59 inches

I hope this answer helped you! If you have any questions, feel free to ask away.

7 0
3 years ago
A student is solving the system of equations below. In which line is a mistake first made?
AlexFokin [52]

Answer:

line 1

Step-by-step explanation:

because

3x + 2y + z = 11 ➡ z = 11 - 3x - 2y

3x and 2y must change sign when transfer to other sid eof equation

5 0
3 years ago
The perimeter of a basketball court is 278ft. The length is 41ft longer than the width. Find the dimensions of the court.
inysia [295]
Since Perimeter is Length+ Width, and there are "two lengths" and "two widths", the formula needed here is p=2l+2w. We have the P, so using that, along with knowing that l is 41ft longer than w;
p = 278 , l = w+41
278 = 2l + 2w

278 = 2(w+41) + 2w

We'll use the DISTRIBUTIVE PROPERTY first: 278 = 2w + 82 + 2w

Then we'll COMBINE LIKE TERMS: 278 = 4w + 82

Next we'll subtract 82 from both sides: 196 = 4w

And finally divide both sides by 4:
49 = w

Since the length is w+41 and we now know the width, we can see what the length is: l = w+41 , l = 49 + 41 , l = 90.

Now that we know the length, we can see what the dimensions of the court are:
Perimeter is 278ft
Width is 49ft
And the Length is 90ft.
7 0
3 years ago
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