Answer:
y = -0.25x + 2.25
Step-by-step explanation:
First, you can simplify the equation of the line it's perpendicular to (2y = 8x - 6) by dividing both sides by 2. This means you would get y = 4x - 3. From that you can conclude that the slope of that line is 4.
Lines always have a slope that is the negative reciprocal of the slope of the line they are perpendicular to, so you know the slope of the line is going to be -1/4.
So far, you have the equation y = -1/4x + b and you have to find b.
You can substitute in the point (-3, 3) so you would have 3= -1/4 * -3 + b
Solving,
3 = 3/4 + b
b = 2 and 1/4
Therefore the equation is y = -1/4x + 2 1/4 or y = -0.25x + 2.25
Answer:
D) 15/12 and 5/4
Step-by-step explanation:
Because when you cross multiply the ratios
15*4 and 12*5
making both ratios a proportion
they both = 60
Answer:
x > 7
Step-by-step explanation:
- 7m + 4 < - 45 ( subtract 4 from both sides )
- 7m < - 49
Divide both sides by - 7 , reversing the symbol as a result of dividing by a negative quantity.
m > 7
Answer:
The surface area of the triangular prism is = 94.641016151378 cm^2
Answer:
(a) = 40%
(b) = 28%
(c) Expected value = $222,500
Standard deviation = $7,216.88
Step-by-step explanation:
This is a normal distribution with a = 210,000 and b =235,000
(a) The probability that he will get at least $225,000 for the house is:
(b)The probability he will get less than $217,000 is:
(c) The expected value (E) and the standard deviation (S) are: