Answer:
y=-
x+
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
=(2-(-4))/(-2-1)
=6/-3
=-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-
x+3/2
Answer:
36.5cm²
Step-by-step explanation:
Area of quarter circle=8²
/4=64
/4=16
cm²
Area of square+Area of shaded region =2(16
)=32
=100.5cm²
Area of square=8²=64cm²
Area of shaded region=100.5cm²-64cm²=36.5cm²
Therefore, the area of the shaded region is 36.5cm².
Answer: He earned 0.831% interest in total.
Step-by-step explanation:
Given: Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment.
Interest per day = $2.77
Interest in 3 days = 3 x ($2.77)
= $8.31
Invested amount= $1000
Required percentage of earnings = 

Hence, he earned 0.831% interest in total.
<span>0.316 in expanded form is= 0.3 + 0.01 + 0.006. </span>