Answer:
x = 8
Step-by-step explanation:
A line with an undefined slope is a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
The line passes through (8, - 2) with x- coordinate 8 , thus
x = 8 ← equation of line
Answer:
y = 1/4x or y = 0.25x
Step-by-step explanation:
In this question, we are trying to write an equation with the given points.
To solve this question, we would use the slope formula: y2-y1/x2-x1
Find the slope by plugging in variables:
2-1/8-4
1/4 = m
The slope would be 1/4
Find the y intercept:
To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:
1 = 1/4(4) + b
Solve:
1 = 1/4(4) + b
1 = 1 + b
Subtract 1 from both sides
0 = b
This means that the y-intercept is 0.
Our equation will be: y = 1/4x
Each petal of the region

is the intersection of two circles, both of diameter 10. Each petal in turn is twice the area of a circular segment bounded by a chord of length

, which implies the segment is subtended by an angle of

. This means the area of the segment is


This means the area of one petal is

, and the area of

is four times this, or

.
Meanwhile, the area of

is simply the area of the square minus the area of

, or

.
So



(provided these regions are indeed disjoint; it's hard to tell from the picture)
To convert mixed number fractions you can:
→ Convert them into improper fractions
→ Give the fractions common denominators
→ Subtract the two numerators, keeping the denominator
→ If necessary, simplify and convert your fraction back to a mixed number fraction
Example: 3 5/6 - 1 2/3
→ 23/6 - 5/3
→ 23/6 - 10/6
→ 13/6 = 2 1/6
∴ 3 5/6 - 1 2/3 = 13/6 OR 2 1/6