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Temka [501]
3 years ago
6

Solve for , , and . -6x+3y-z=5 3x-y+5z=-10 -x+2y+3z=-1

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

x=1, z=-2, y=3

Step-by-step explanation:

Substitution Method

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What is a simple way to rotate a shapes or points
mrs_skeptik [129]

When rotating points and shapes on a coordinate plane, you can use these simple methods:

90 degree rotation clockwise: convert (x, y) to (y, -x).

Example: (2, -4) --> (4, 2)

180 degree rotation clockwise: convert (x, y) to (-x, -y).

Example: (2, 4) --> (-2, -4).

270 degree rotation clockwise: convert (x, y) to (-y, x).

Example: (4, 2) --> (-2, 4)

360 degree rotation: This changes nothing. This basically means that the figure spins in a full circle only to return to its previous position.

Notes:

-Don't be spooked whenever you see a question that says to rotate an object 90 degrees counterclockwise. This is the exact same thing as a 270 degree rotation clockwise.

Example: (4, 2) rotated 270 degrees clockwise = (2, -4). (4, 2) rotated 90 degrees counterclockwise = (2, -4).

3 0
3 years ago
Please see attachment and SHOW WORK. Thank You. Will mark brainliest!!
Fofino [41]

a. Let c and b represent the numbers of capped and broken bottles, respectively. Here is the system of equations.

... c + b = 15 . . . . 15 bottles have come Erica's way

... 4c -2b = 6 . . . .Erica's net pay for the day is 6 cents

b. By substitution, we can write an expression for b in terms of c:

... b = 15 - c

Then put it into the second equation:

... 4c - 2(15-c) = 6

... 6c - 30 = 6 . . . . eliminate parentheses

... 6c = 36 . . . . . . .add 30

... c = 6 . . . . . . . . . divide by 6

... b = 15 - 6 = 9 . . find the value of b

Erica has capped 6 bottles and broken 9.

_____

Here's one way to do it by elimination. We can divide the second equation by 2 to put it into standard form:

... 2c - b = 3

Now, adding it to the first equation gives

... (2c -b) + (c +b) = (3) + (15)

... 3c = 18 . . . . . simplify. Notice the b variable has been eliminated

... c = 6 . . . . . . . divide by 3

... 6 + b = 15

... b = 9 . . . . . . substitute into the first equation and solve for b by subtracting 6

Erica has capped 6 bottles and broken 9. (same solution as above)

4 0
3 years ago
The value of 9−y is twice the value of y. What is the value of y?
ElenaW [278]

Answer:

y = 3

Step-by-step explanation:

9 - y = 2y

<u>Step 1:  Add y to both sides</u>

9 - y + y = 2y + y

9 = 3y

<u>Step 2:  Divide both sides by 3</u>

9 / 3 = 3y / 3

3 = y

Answer:  y = 3

7 0
3 years ago
Please help me asappp (will give brainiest!)
ryzh [129]

Answer:

TanФ=-1.793

Step-by-step explanation:

Sin^{2} (A) + Cos^{2} (A) = 1

Sin(A)=\sqrt{1-Cos^{2} (A)}

Tan(A) = \frac{Sin(A)}{Cos(A)}

Tan(A) =\frac{\sqrt{1-Cos^{2}(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^{2} } }{-.487}=-1.793433202

3 0
3 years ago
in the school cafeteria students chose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. how many different lunche
Vesna [10]

Answer:

Answer:

3

×

3

×

4

×

2

=

72

Explanation:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

×

4

×

2

=

72


7 0
3 years ago
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