Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
Answer:
x = -1
Step-by-step explanation:
Solve for x:
12 = 24 - 4 (-6 x - 3)
-4 (-6 x - 3) = 24 x + 12:
12 = 24 x + 12 + 24
Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):
12 = 24 x + (12 + 24)
12 + 24 = 36:
12 = 24 x + 36
12 = 24 x + 36 is equivalent to 24 x + 36 = 12:
24 x + 36 = 12
Subtract 36 from both sides:
24 x + (36 - 36) = 12 - 36
36 - 36 = 0:
24 x = 12 - 36
12 - 36 = -24:
24 x = -24
Divide both sides of 24 x = -24 by 24:
(24 x)/24 = (-24)/24
24/24 = 1:
x = (-24)/24
The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1:
Answer: x = -1
Answer: Third option.
Step-by-step explanation:
In order to solve the given exercise it is important to remember that:
1. Rational numbers are defined as those numbers that can be wrriten as a simple fraction.
2. The symbol for Rational numbers is: Q
3. Integers can be positive numbers, negative numbers and zero.
4. The symbol for Integers is: Z
5. Fractions have the following form:
Where:
"a" is the numerator and "b" is the denominator.
The numerator "a" and the denominator "b" are both Integers ( and 
)
Therefore, based on the information given above, you can conclude that Rational numbers are numbers of the form 
∈ 
Hello there! Your answer should be 4 mph. Reasoning:
2 = (20 - x) * t
3 = (20 + x ) * t
Time is the same for both equations. Solve for T.
2/(20-x) = 3/(20+x)
the answer is 4 mph.
Please tell me if I was right!
Answer:
40%
Step-by-step explanation:
Percentage Passed = 36 ÷ 90 × 100 = 40%
