Answer:
Step-by-step explanation:
Given AB with coordinates A(3, -3) and B(1, -1)
Perpendicular bisector passes through midpoint of the segment.
<u>Midpoint of AB has coordinates:</u>
- x = (3 + 1)/2 = 2, y = (-3 - 1)/2 = -2
<u>Slope of AB</u>
- m = (-1 + 3)/(1 - 3) = 2/-2 = -1
<u>Slope of the perpendicular line is:</u>
<u>The equation of the line in point-slope form:</u>
- y - y₁ = m(x - x₁), where m = 1, x₁ = 2, y₁ = -2
- y - (-2) = 1(x - 2) ⇒ y + 2 = x - 2
<u>Converted into slope-intercept form:</u>
Yup I found that the surface area is very brown
Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
Answer:
length= 710 width= 420
Step-by-step explanation:
As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:
2l+2w= 2260
With the length as:
l= w+290
The length, substituted into the perimeter is:
2(w+290)+2w=2260
Distribute:
4w+580=2260
Subtract:
4w=1680
Divide:
w=420
To find the length, take the width and add 290:
420+290=710
l=710
