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3 years ago

Y = -4x – 5 y = 3.x – 2 Is (3, 7) a solution of the system?

Mathematics

1 answer:

Blababa [14]3 years ago

7 0

Answer:

Step-by-step explanation:

this is because

-12-5=-17

-28-2= -30

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Miguel draws a square on a coordinate plane. One vertex is located at (5,4). The length of each side is 3 units. Circle the lett

Ulleksa [173]

Answer:

A, B, and E.

Step-by-step explanation:

We know that one vertex is at (5, 4), and each side of our square is 3 units long.

Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3 units (if those vertexes are connected by the diagonal of the square).

Also remember that the distance between two points (a, b) and (b, c) is:

distance = √( (a - c)^2 + (b - d)^2)

So we need to find the distance between our point and all the ones given in the options:

A) the distance between (5, 4) and (5, 1) is:

distance = √( (5 - 5)^2 + (4 - 1)^2) = 3

Then point (5, 1) can be a vertex.

B) The distance between (5, 4) and (5, 7) is:

distance = √( (5 - 5)^2 + (4 - 7)^2) = 3

Then (5, 7) can be a vertex.

C) The distance between (5, 4) and (7, 8) is:

distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20

Point (7, 8) can not be a vertex.

D) The distance between (5, 4) and (2, 6) is:

distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13

Point (2, 6) can not be a vertex.

E) The distance between (5, 4) and (2, 1) is:

distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3

Then point (2, 1) can be a vertex.

8 0

3 years ago

A box is 12 centimeters wide, 12 centimeters long, and 15 centimeters tall. What is the total surface area of this box?

Alexeev081 [22]

Answer:

the answer is 2,160cm long I may be wrong

6 0

3 years ago

Read 2 more answers

Reggie is looking up yearly job benefits, the pay is $8.50 an hour for a 40- hour week. His employer also provides fridge benefi

Vika [28.1K]

hello

to solve this problem, we need to work out how much he earns weekly, and then work it up to annually

step 1

calculate the weekly wage into annual wage

he earns $8.50/h and works 40 hours in a week

weekly wage =

$\begin{gathered} 8.50\times40=340 \\ \text{ in 1 year, we have 52 weeks} \\ \text{annual wage =340}\times52=17680 \end{gathered}$

Raggie earns $17,680 annually

he gets fridge benefit of 19% of his annual wage

we need to find 19% of $17,680

$\begin{gathered} \frac{19}{100}=\frac{x}{17680} \\ 100\times x=19\times17680 \\ 100x=335920 \\ x=\frac{335920}{100} \\ x=3359.2 \end{gathered}$

he gets additional $3359.2 as fridge allowance

we can add up the total to know his total annual wage

total annual wage = wage + allowance = $17680 + $3359.5 = $21,039.2

his annual expense

commuting = $419

uniforms = $560

parking = $430

total expense = $419 + $560 + $430 = $1,409

net wage = gross wage - expenses

net wage =

$\begin{gathered} \text{net wage=} \\ 21039.2-1409=19630.2 \end{gathered}$

Reggie's annual wage after expenses = $19630.2

7 0

1 year ago

A classroom has a length of 20ft. And width of 30ft. The flooring Is to be replaced by tiles. If each tile has a length of 24in.

umka21 [38]

Area of the floor is 60ft^2. (20x30=60ft)
Each tile is 6ft^2 in area.
24in = 2ft
36in = 3ft

60/6= 10 tiles

3 0

4 years ago

A cartoon contains 5 1/2 cups of juice. One serving is 3/4 of a cup. How many servings of juice are in the cartoon?

ahrayia [7]

The answer is 7!!!!!!

6 0

3 years ago

Read 2 more answers