A store sells packages of comic books with a poster. A poster and 3 comics cost $9.99. A poster and 12 comics cost $18.99. Wri
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The present age of Jane is 45 years old and present age of her sister is 9 years old
<em><u>Solution:</u></em>
Let the present age of Jane be "x"
Let the present age of her sister be "y"
<em><u>Jane is 5 times older than her sister</u></em>
present age of Jane = 5(present age of her sister)
x = 5y ---------- eqn 1
<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>
Age of sister after 3 years = 3 + y
Age of jane after 3 years = 3 + x
Age of sister after 3 years = 1/4(age of jane after 3 years)
Substitute eqn 1 in above equation
Substitute y = 9 in eqn 1
x = 5(9)
x = 45
Thus present age of Jane is 45 years old and present age of her sister is 9 years old
Answer:
Point-Slope form:
standard form:
Step-by-step explanation:
The standard form is given by:
The point-slope form is given by:
- <em>Let's call
as point
, and</em>
<em>point as point
</em>
- <em>We also know that the slope
is given by
</em>
Let's find the slope:
1. So, point slope form can be written as:
2. Rearranging this equation and bringing all x's and y's to one side and the number to another side will give us the standard form. So:
<em>But A, B, and C (standard form) needs to be integers, so to get rid of the denominator , we multiply the whole equation by 15. So we have:</em>
<em>We can factor out a 3, so it becomes:</em>
So standard form is