Answer:
The answers are that a = -5 and b = 1
Step-by-step explanation:
In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 5)/(-3 - 0)
m = 6/-3
m = -2
Now that we have this we can model this using point-slope form.
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.
y = -2x + 5
15 = -2(a) + 5
10 = -2a
-5 = a
And we can also solve for b using the ordered pair (2, b)
y = -2x + 5
b = -2(2) + 5
b = -4 + 5
b = 1
Answer:
Option A
Step-by-step explanation:
<u>Given equation is</u>
=> 3y = 6x + 3
<u>In slope-intercept form, it becomes</u>
=> 3y = 3(2x+1)
=> y = 2x+1
So, Slope = m = 2
<u><em>Parallel lines have equal slope, So any line parallel to the above line would have its slope equal to 2</em></u>
=> Line parallel to 3y = 6x + 3 is y = 2x + 10
Answer:
Part 1) The trapezoid has an area of 
Part 2) The kite has an area of 
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of
The kite has an area of
so
therefore
The area of the trapezoid is less than the area of the kite
I believe this is right but I’m not 100%
Answer:In 2017, the NRSS reported that external theft or customer shoplifting were responsible for 37.5% of retail shrinkage. And 33.2% of retail shrinkage was caused by employee or internal theft.
Step-by-step explanation:
