y = - 
x + 
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 4x + 5 is in this form with slope m - 4
Given the slope of a line m, then the slope (
) of a line perpendicular to it is
= - (1 / m ) = -
y = - x + c is the partial equation of the perpendicular line
to find c, substitute ( 2, 7 ) into the partial equation
7 = - 
+ c ⇒ c =
y = - x + ← equation of perp. line
Answer:
No, the reasoning is not correct.
Step-by-step explanation:
1. To get the correct answer, Akeem should first translate 1L into mL.
1L = 1000mL.
2. We now have the numbers 270mL and 1000mL. (Note: Even though 270 and 1000 aren't equal, we can go with the question.)
3. 270/1000 is how we describe the ratio before it's simplified.
4. Simplify.
270/1000 → divide 10 from both sides to start simplifying. → 27/100
We can't simplify anymore without going into decimals.
5. The correct answer would be 27:100.
5 blue, 4 red = 9 total
Probability (Blue, Blue) = 5/9 x 5/9 = 25/81 = 0.30864
Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753
Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173
Fraction answer = 41/81
Decimal answer = 0.506173 (round off as needed)
Answer:
X = -55
Step-by-step explanation:
X/5 = 12 - 23
X/5 = -11
X/5 • 5 = -11 • 5
X = -55
Answer:
f(6) = 0
x = 3 when f(x) = 2
Step-by-step explanation:
f(6) = -2/3(6) + 4
f(6) = -4 + 4
f(6) = 0
2 = -2/3x + 4
-2 = -2/3x
-2x = -6
x = 3
