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alex41 [277]
1 year ago
10

12) Mary is 5 years older than Bob. If the sum of their ages is 39, write and solve an equation to find their ages.

Mathematics
1 answer:
Andreas93 [3]1 year ago
7 0

Bob age =x

Mary age= x+5

If we sum the ages

x+(x+5)=39

2x+5=39

then we clear x

2x=39-5

2x=34

x=34/2

x=17

Bob age =17

Mary age=17+5=22

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1. Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
gregori [183]

Answer:

y = 3x + 1

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

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Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(0) + b

To find b, multiply the slope and the input of x (0)

1 = 0 + b

Now, add 0 to both sides to isolate b.

1 = b

Plug this into your standard equation.

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This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)

Hope this helps!

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