553,000 is the answer for rounding up
Hi there!
We can split into factors using the "guess and check" method.
Factors are in the format of:
(ax + b)(cx + d), where in this instance:
a · c = 2
bc + da = 5
b · d = 3
Thus, we get:
(2x + 3)(x + 1)
Let the numbers be:
a, a+b, a+2b
mean of the numbers is:
(a+a+b+a+2b)/3=10
(3a+3b)/3=10
a+b=10
thus second term is 10
The sum of square will be:
((10 - b)² + 10² + (10 + b)²<span>) / 3 = 394
</span>(100 - 20b + b² + 100 + 100 + 20b + b²<span>) / 3 = 394
</span><span>(300 + 2b</span>²<span>) / 3 = 394
</span>(150+b²)=591
b²=441
b=-21,21
thus the numbers will be:
10-21, 10, 10+21
=-11,10,31
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1 3-8 5
Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3) (I used point B here)
5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span> 5 5 5
Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span> 5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span> 5</span>
Answer:
A) 432,960 Feet
B) There are 60 minutes in a hour
C) 7,216 Feet per minute
Step-by-step:
C) S = 432,960/60 = 7216 ft