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3 years ago

Write an equation of the line that passes through the given point and has the given slope. (4, 2); slope 1/2

Mathematics

1 answer:

pishuonlain [190]3 years ago

8 0

Answer:

y = 1/2x

Step-by-step explanation:

Substitute the given information into the equation y = mx + b

Obviously, the point given --> (4, 2) is the x and y.

The m is the slope (1/2)

Work down below!

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The Frill family and the Smith family go to the movies.

Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

$6a + 2c = 124$

as equation 1,

and

$3a + 5c = 100$

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

$3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200$

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

$(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5$

Now substitute c into equation 2.

$3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5$

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0

3 years ago

The length of the sides of a triangle is given. Determine

aalyn [17]

Answer:

the triangle is right

Step-by-step explanation:

The Pythagorean theorem dictates that a^2 +b^2=c^2

6^2+8^2=10^2

36+64=100

100=100

6 0

3 years ago

The next number in series 7,9,13,29 is:

Alex17521 [72]

Answer:

285

Step-by-step explanation:

9 = 7 + 2¹

13 = 9 + 2²

29 = 13 + 2⁴

285 = 29 + 2⁸

4 0

4 years ago

Do most of the shoppers spend more than $30?

PtichkaEL [24]

Well, in the real would many people spend more than $30.

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4 years ago

3/5-the square root of 5

Ksenya-84 [330]

Answer:

1.341

Step-by-step explanation:

I'm smart at maths

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3 years ago

Write an equation of the line that passes through the given point and has the given slope. (4, 2); slope 1/2​

Write an equation of the line that passes through the given point and has the given slope. (4, 2); slope 1/2