−15.82x + 20.042
calculated it
Multiply 2^(-5) by 2^6. The correct result is 2^1, or just 2 (inches).
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:
144 is correct
Step-by-step explanation:
13 - 1 is 12
12 times 12 = 144
144 divided by 2 is 72
72 times 2 is 144
<em>Complete Question:</em>
<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>
<em>The initial heights are shown. </em>
Write a system of linear equations that represents this situation.
Answer:
Step-by-step explanation:
Given
Spruce Tree (s):
(yearly)
Hemlock Tree (h):
(yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
For Spruce Tree (s):
For Hemlock Tree (h):
<em>Hence, the equations are </em><em> and </em><em></em>
