The ratio of the radii is 2:1, so the ratio of their surface areas is 4:1. <span>The area of a sphere is defined by 4 * pi * r^2 </span>
<span>So if the radius of the first sphere is 2r, then it would be (2r)^2 = 4r^2 </span>
<span>The rest is the same. So the ratio of their surface areas would be </span>
<span>4 * pi * 4r^2 divided by </span>
<span>4 * pi * r^2 </span>
<span>or 4.</span>
Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step:</u>
<u>First off, let's write the line in point-slope form:</u>
![\rm \hookrightarrow (y-y_0)=m(x-x_0)](https://tex.z-dn.net/?f=%5Crm%20%5Chookrightarrow%20%28y-y_0%29%3Dm%28x-x_0%29)
- (x₀, y₀) any random point on the line
- 'm' is the value of the slope
<u>Let's calculate the slope:</u>
![\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Crm%20%5Chookrightarrow%20Slope%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
- (x₁, y₁): any random point on the line ⇒ (-2, -6)
- (x₂,y₂): any random point on the line that is not (x₁, y₁) ⇒ (2, -3)
![\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}](https://tex.z-dn.net/?f=%5Crm%20%5Chookrightarrow%20slope%20%3D%20%5Cfrac%7B-3--6%7D%7B2--2%7D%20%3D%5Cfrac%7B3%7D%7B4%7D)
<u>Now that we found the slope, let's put it into the point-slope form</u>
⇒ we need (x₀, y₀) ⇒ let's use (2,-3)
![(y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)](https://tex.z-dn.net/?f=%28y-%28-3%29%29%3D%5Cfrac%7B3%7D%7B4%7D%20%28x-2%29%5C%5Cy%2B3%3D%5Cfrac%7B3%7D%7B4%7D%20%28x-2%29)
<u>The equation, however, could also be put into 'slope-intercept form'</u>
⇒ gotten by isolating the 'y' variable to the left
<u>Answer:</u>
or ![y+3=\frac{3}{4} (x-2)](https://tex.z-dn.net/?f=y%2B3%3D%5Cfrac%7B3%7D%7B4%7D%20%28x-2%29)
*<em>Either equations work, put the one that you are the most familiar with</em>
Hope that helps!
#LearnwithBrainly
Answer:
14+28i
Step-by-step explanation:
Answer:
i) Point B is located at 0.
ii) The two points that are opposite are 5 / 5 and 10 / -5 and 5 / 5, 10 and -5, -10.
iii) Point D is located at 35.
iv) -20 is one tick mark to the left of point A.