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
Suppose that the population of NYC is 10,000,000, and there're average of 3 people per household
= 3.3 million HHs
and 1 in 10 HHs has a piano
= 330,000 pianos
on average, a piano is tuned once a year
= 330,000 tuning per year
= 6,000 tunings per week
suppose a piano tuner works 5 days a week and handling 5 pianos a day. That will be 25 pianos a week
hence, you need 6,000/25 = 240 tuners
hope this helps
Answer:
D. Step 1 only.
Step-by-step explanation:
Here, Josie didn't use the distributive property correctly. The other two steps are still right, so D is correct.
How it should have been done:
x + 3 + 7x(x - 5)
<em>Use the distributive property to multiply 7x by x - 5.</em>
x + 3 + 7x² - 35x (The boldened part is what should have happened for Step 1)
<em>Combine x and -35x to get -34x.</em>
7x² - 34x - 3 is what the earlier equation should be simplified to.