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lorasvet [3.4K]
3 years ago
15

Is (4,2) a solution of the system y=x-2 and y=3x+4

Mathematics
2 answers:
Fed [463]3 years ago
5 0

Answer:

The answer to your question is No, it is not a solution

Step-by-step explanation:

Data

Point (4, 2)

                      y = x - 2              Equation l

                      y = 3x + 4            Equation ll

-Solve the system by equality

                    x - 2 = 3x + 4

-Solve for x

                    x - 3x = 4 + 2

                       - 2x = 6

-Result

                           x = 6/-2

                           x = -3

-Find y

                    y = -3 - 2

-Result

                     y = -5      

The solution to this system is (-3, -5), (4,2) is not a solution.

babunello [35]3 years ago
4 0

Answer:

False

Step-by-step explanation:

y=x-2  y=3x+4

Substitute the point into both equations and see if it is true

2=4-2

2=2  true

and

2=3*4+4

2 = 12+4

2 =16

False

It is not a solution

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157 29 Marks
AlekseyPX

Complete question :

Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15

Answer:

2/3, 7/10, 11/ 15, 4 /5

Step-by-step explanation:

In other to make solving the question easier, we can convert the fractions to decimal in other to make comparison easier :

7/10 = 0.7

2/3 = 0.667

4 /5 = 0.8

11 /15 = 0.733

Using the placement or how the numbers will appear to the right of a number line ;

0.667, 0.7, 0.733, 0.8

Thus we have :

2/3, 7/10, 11/ 15, 4 /5

3 0
3 years ago
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

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.

Upon substituting our given information in Pythagoras theorem, we will get:

5184+900=c^2

6084=c^2

Therefore, the area of electrical building is 6084 square feet.

3 0
4 years ago
(8x − 5)(2x2 − 5x − 6)
Elodia [21]

Answer:

(-5x - 2)(8x - 5)

I hope this helps!

6 0
3 years ago
Two buildings are 200 feet apart. The height of the taller building is 50 ft. The angle of depression from the top of the taller
Goshia [24]
Regergregegergergergergegerge
3 0
4 years ago
Read 2 more answers
At an electronic store, an air conditioner marked at 280$ was on sale at $259 what was the percentage of discount for the air co
Whitepunk [10]

Answer:

7.5%

Step-by-step explanation:

280 - 259 = 21

21 / 280 = 0.075 = 7.5%

6 0
3 years ago
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