30÷5 (the 5 parts from 2:3) is 6 so the first group gets 12 (2x6) and the second gets 18 (3x6)
Absolute value is the distance between a point and 0. Absolute value is always positive. When you're writing numbers in absolute value, make sure you add:
| |
The absolute value of a negative number is also positive. For example:
| -7 | = 7 ⇒The absolute value of -7 is 7.
K is the constant of proportionality also the same as slope.
You can see the commonality in the equations
y = kx
y = mx + b
The difference is that is a direct proportion the line will always go through the origin so the b will be zero.
The answer is B.
Answer:
b = a + 3.75
Step-by-step explanation:
a = 4b - 15
You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides
a (+15) = 4b - 15 (+15)
a + 15 = 4b
Next, divide 4 from both sides. Remember to divide from all terms.
(4a + 15)/4 = (4b)/4
b = (4a)/4 + (15)/4
b = a + 15/4
b = a + 3.75 is your answer
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1. slope of the given line = 1/5
the equation is
(y-2)/(x-(-2))=1/5
x+2=5y-10
x-5y+12=0
2. slope of the given line = -1/6
the equation is
(y-9)/x=6
y-9=6x
y=6x+9
