Answer:
3x-4y=2
Step-by-step explanation:
step 1
Plot the figure
we have
A (2, 2), B(-2, -2), C(1, -1), and D(6, 4)
using a graphing tool
The longer diagonal is BD
see the attached figure
step 2
Find the slope of the diagonal BD
we have
B(-2, -2) and D(6, 4)
m=(4+2)/(6+2)
m=3/4
step 3
Find the equation of the diagonal BD into point slope form
y-y1=m(x-x1)
we have
m=3/4
D(6,4)
substitute
y-4=(3/4)(x-6)
step 4
Convert the equation in standard form
The equation of the line in standard form is equal to
Ax+By=C
y-4=(3/4)(x-6)
y=(3/4)x-(18/4)+4
Multiply by 4 both sides
4y=3x-18+16
3x-4y=18-16
3x-4y=2 -----> equation of the diagonal in standard form
Answer:
See explaination
Step-by-step explanation:
We can define standard deviation in statistics as a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
See attachment for the step by step solution
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where
and
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:
The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>