Originally we have
length = x
width = x-2
since the width is 2 inches smaller than the length
now let's triple each dimension. Multiply the expressions by 3 to get
new length = 3*x
new width = 3*(x-2) = 3x-6
Now onto the area
area = (length)*(width)
area = (3x)*(3x-6)
area = 3x*3x-3x*6
area = 9x^2 - 18x
So the new larger rectangle has area of 9x^2-18x
115x + 500 = 2685
115x = 2185
x = 19
19 club members
Same thing (0, -6) if I’m not mistaken
8x + 7y = 19
- 8x
7y = 19 - 8x
÷ 7
y = 2 5/7 - 8/7x
So if that line is perpendicular to the line you're looking for, then the gradient (x value/slope) is the negative reciprocal to the gradient you're looking for, which would then be 7/8. You are told it has a y intercept of -7, so your final answer is:
y = -7/8x - 7
Hope this helps!
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why 
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e


(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:

This gives:

In the second triangle:

So:

By comparison:

Hence:
