For x=5 y=4 so we can calculate the slope m=(y1-y)/(x1-x)=(5-0)/(4-0)=5/4
then use (y-y1)=m(x-x1) and you get
y=(5/4)x-5
Answer: 8 1/20 or 8.05.
Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.
The brackets are first, then the multiplication
Answer:
30/40, 75/100, 9/12, 15/20, 24/32
Step-by-step explanation:
all you have to do is multiply the numerator and the denominator by the same number. for example, 3*5 = 15 and 4*5 = 20 so you get 15/20.
Answer:
<em>x=-6, x=1</em>
Step-by-step explanation:
<u>The zero product property</u>
It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.
The given equation is:
(x+2)(x+3)=12
Since neither side is 0, we operate the expression:
x^2+3x+2x+6=12
Moving 12 to the left side and simplifying:
x^2+3x+2x+6-12=0
x^2+5x-6=0
Factoring:
(x+6)(x-1)=0
Now, since there is zero on the right side, we apply the property to solve:
x+6=0, or x-1=0
The two solutions come directly:
x=-6, x=1