MATHEMATICS HIGH SCHOOL

Elimination method

-2x+y=-8
2x+4y=18

Answers

Answer 1
Answer: We have to add first eq to second eq.
-2x+y+2x+4y=-8+18
5y=10      /:5
y=2
Now we can backsubstitute 
2x+4*2=18
2x+8=18             /-8
2x=18-8
2x=10          /:2
x=5
Finally we obtain result
x=5
y=2
Answer 2
Answer: elimitation method
basically eliminate one of the terms completely
we see that there is a -2x and a 2x in the 2 equations
so just add them together
2x-2x+4y+y=18-8
5y=10
divide both sides by 5
y=2

subsitute
-2x+2=-8
subtract 2 form boht sides
-2x=-10
divide both sides by 2
-x=5
multiply -1
x=5

y=2
x=5

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5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?​

Answers

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600,   600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e.      (x)/(75) = (8)/(10)

           x = (75 * 8)/(10)

           x = 60

∴ The distance is 60 km.

Hope this helps!!!

The____ is the set of all values a function will accept as inputs.domain
relation
range
mapping

Answers

The domain is the set of all values a function will accept as inputs.

Find the area of the trapezoid at the right. the left side is 5cm, the the top is 6cm, the side is 5.4cm, and the bottom on the right is 2cm.

Answers

Answer:

To find the area of a trapezoid, we can use the formula:

Area = (1/2) × (sum of bases) × (height)

In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:

height² = (side)² - (difference of bases/2)²

height² = 5.4² - (2-6/2)²

height² = 29.16 - 9

height² = 20.16

height = √20.16

height ≈ 4.49 cm

Now we can plug in these values to find the area:

Area = (1/2) × (6 + 2) × 4.49

Area = 4 × 4.49

Area = 17.96 cm²

Therefore, the area of the trapezoid is approximately 17.96 square centimeters.

Step-by-step explanation:

what is the probability that the first card is a king and the second card is a king if the sampling is done with replacement?

Answers

Answer:  1/169

The calculation would be (4/52)*(4/52) which is the same as (1/13)^2

The 4/52 refers to the fact there are 4 kings out of 52 cards total.

The 1/13 is the idea where there's 1 king in any given suit of 13 cards.

Choose the scenario that could be represented by 4/7.

Answers

Answer:

The first one.

Step-by-step explanation:

The fraction 4/7 represents the feet.

Answer:

A I’m pretty sure.

Step-by-step explanation:

Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

Answers

The table want to ask to create a table of values for linear function about the said problem, I cant attached table in here but i would help you creating one. First you must consider the variables that could be use in the table to segregate data according to the variables or columns in you table. Then supply the necessary data. I hope this would help 
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