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2 years ago

Use elimination to solve each system of equations 3x + 5y = -2 3x - 2y = - 16

Mathematics

1 answer:

Luden [163]2 years ago

3 0

Y= -6 because we eliminated 3x, subtracted 5-2 and -2-16. that gave us 3y=-18. divide by 3 on both sides.

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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

Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are abou

wel

Answer:

Step-by-step explanation:

Total 'halwa' made = 1

Divided into four equal portion = 1/4

Arrival of an unexpected guest = 1/5

By what percentage has each family member's share been reduced:

Change in the sharing proportion:

Previous share ratio - new sharing ratio

(1/4 - 1/5) = (5 - 4) / 20 = 1/20

That means total reduction in the sharing = 1/ 20

Since each member comes contributed equally:

Reduction in each family member's share ;

(1 / 20) ÷ 4

(1 / 20) * 1/4 = 1/ 80

Percentage reduction:

(Reduction / original share) * 100%

[(1/80) ÷ (1/4)] * 100

(1/80 * 4/1) * 100%

(1/20) * 100%

= 5%

Reduction in each family members share = 5%

3 0

3 years ago

A 3 liter bottle of juice costs $5.70<br> What is the unit price for 1 liter of juice?

Galina-37 [17]

Answer:

$1.90

Step-by-step explanation:

Divide 5.7 by 3 to get your answer.

$\frac{5.7}{3}$ = 1.9

3 0

3 years ago

Read 2 more answers

Tri-Star Industries employs electrical, plumbing, and air conditioning technicians. Their home office is made up of three square

Molodets [167]

Answer:

6084 $\text{ft}^2$ .

Step-by-step explanation:

Please find the attachment.

We have been given that the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184 $\text{ft}^2$ and the area of the A/C building is 900 $\text{ft}^2$ .

We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

$a^2+b^2=c^2$