Answer:
Step-by-step explanation:
Figure 1
- 3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1
Figure 2
- 8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1
Figure 3
- 15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1
<u>The function is:</u>
Using the Pythagorean Theorem, we have x^2+(x+2)^2=51^2, and
x^2+ x^2+4x+4=2x^2+4x+4=51^2. After that, we subtract 51^2 from both sides to get 2x^2+4x-2597. Using the quadratic formula (x=(-b+-sqrt(b^2-4ac))/2a in ax^2+bx+c), we get around 35 for x. We did + instead of minus after b due to that it can't be negative! x+2=37, so you save 35+37-51=around 21 feet
The equation in slope-intercept form is:

Further explanation:
The standard slope-intercept form is:

Given equation is:

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation
So,
<u>Adding 2x on both sides</u>

<u>Dividing both sides by 3</u>

<u>Simplifying</u>

The equation in slope-intercept form is:

Keywords: Slope-intercept form, linear equation
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The second part would be $700. I'm not sure how I would solve the first part. You should click the hint button.<span />
Okay so you have 10/12 marbles (ten out of twelve). Both 10 and 12 can be divided by 2, right? So divide both of those by 2 and you get 5/6. That’s your answer. Hope this helps!