last one. i can do the first part. put x = distance from top of ladder to the floor, y = distance from base of ladder to the wall (draw a picture) then pythagoras sez
<span><span>x2</span>+<span>y2</span>=25</span>
calculus says
<span>2x<span>x′</span>+2y<span>y′</span>=0</span>
and you are told that
<span><span>y′</span>=2</span>
so you know
<span>2x<span>x′</span>+4y=0</span>
or
<span><span>x′</span>=−<span><span>2y</span>x</span></span>
Hey there, Lets solve this together,
We all know that you will <span>start off with 250,000 and multiply that by 3%, which is the same thing as .03 in decimal form.
</span>
= 7500
You do the same thing again.
<span>12%,= 30,000 for the down payment.
</span>
Answer:
miles [or, 9.2 miles]
Step-by-step explanation:
<u>Complete Question:</u>
Christine runs 10 miles in 75 minutes. At the same rate, how many miles would she ru
n in 69 minutes?
<u>Solution:</u>
We need to find the unit rate first and then find our answer. To get unit rate, we need to know the number of miles she runs in "1 minute". So, we will divide number of miles by number of minutes, that is given. Hence:
That means in 1 minute, Christine runs 2/15th of a mile.
Now, we want to know how many miles she will run in 69 minutes. We simply multiply unit rate (2/15) by the number of minutes (which is 69). Thus we have:
In decimal, doing division, that is 9.2 miles
×
To multiply, you multiply across. So it would be 3×1=3 and 10×6=60
Which will result in
but in order to simplify it, you find a common factor. The common factor is 3. 3÷3=1 and 60÷3=20
The answer is
Answer: The solutions are x = 3+sqrt(2), and x = 3-sqrt(2). The quadratic equation has two solutions because it has a positive discriminant.
Step-by-step explanation:
Using the quadratic formula, we have: 6+-sqrt(8)/2, which become 3+-sqrt(2).
