Answer:
The slopes of WX and XZ
Step-by-step explanation:
The singular factor that determines if the parallelogram is a rectangle are the angles at the edges
Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle
So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product
Hence, the slopes of WX and XZ can be calculated to show this
Answer:
the answer to this question is 1
Answer:
<h2>10 weeks </h2>
Step-by-step explanation:
Step one:
given data
Ryan
number of baseball cards=150
number collected per week= 10
let the number of weeks be x
and the total be y
y=10x+150-----------------1
Sarah
number of baseball cards=200
number collected per week= 5
let the number of weeks be x
and the total be y
y=5x+200------------2
Step two:
Required
the number of weeks where both total will be the same
10x+150=5x+200
10x-5x=200-150
5x=50
divide both sides by 5
x=50/5
x=10 weeks
The point-slope form of a line is:
y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line
First we need to find the slope, which is (y2-y1)/(x2-x1)
m=(4--1)/(8-2)
m=5/6 and we can use either point, I'll use (8,4)
y-4=(5/6)(x-8)
That is your equation in point-slope form.
Now the standard equation of a line is ax+by=c
y-4=(5/6)(x-8) we can perform the indicated multiplication on the right side
y-4=(5x-40)/6 multiply both sides by 6
6y-24=5x-40 add 24 to both sides
6y=5x-16 subtract 5x from both sides
-5x+6y=-16 and by convention, the standard equation of a line should be expressed with a positive coefficient for x, so multiply both sides by -1
5x-6y=16
