we are looking for an equation perpendicular to y = -2x + 5
The form: y = mx + b
Where m is the pending; and b is the product of X1 for m, add the Y1
The pending of a line that is perpendicular to other line is reprical to the pending ot this other line, and with a different sign.
So, the pending of this first line is -2, the reprical is -1/2. We change the sing and we have 1/2
The second line does have a pending of 1/2 (0.5).
So, this second line pass for the point (0,0), so we have the equation:
y - Y1 = m(x - X1)
Where Y1 and X1 are the points y and x where pass the line.
If the line pass for the points 0 and 0, so:
y - 0 = m(x - 0)
And the pending we know is 0.5, so
y - 0 = 0.5(x - 0)
We pass to the form slop-intercept:
y = 0.5x - (0.5*0) + 0
The same that:
<h2>y = 0.5x</h2>
Cause 0+0=0
Answer:
432 pages.
Step-by-step explanation:
We know Madison reads 24pgs/ per day. She reads for nine days, so she reads 24*9 pages, or 216.
We know also that this is halfway through her book, so 2*216= the whole book, so the book has 432 pages
Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean
= 500 and a standard deviation
= 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = 
Z-score = 
⇒ Z-score = 
⇒Z-score =1.25
Therefore , the required z-score = 1.25
Answer:
x = 27°
Step-by-step explanation:
<em>l ║ m </em>Given
(x + 72) + (3x) = 180° If parallel line then same-side angles = 180°
4x + 72° = 180°
4x = 180° - 72°
4x = 108°
x = 108°/4
x = 27°
9/6 or the simplified version is 1 1/2
