Answer:
2 (x + 7)
Step-by-step explanation:
2x + 14
2 (x+7)
I hope this helps
The area of the convex polygon is 43/2 square units
<h3>How to determine the area of the convex polygon?</h3>
The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
![A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_1%26x_2%5C%5Cy_1%26y_2%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_2%26x_3%5C%5Cy_2%26y_3%5Cend%7Barray%7D%5Cright%5D%20%2B%20....%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_n%26x%5C%5Cy_n%26y%5Cend%7Barray%7D%5Cright%5D%20%29)
So, we have:
Evaluate
Remove the absolute bracket
This gives
Hence, the area of the convex polygon is 43/2 square units
Read more about convex polygon at:
brainly.com/question/14522707
#SPJ1
to find the equation of a linear equation given two points:
1) find the slope y=mx+b
here's the equation: (y2-y1)/(x2-x1)
y2- y value of the 2nd point y1- y value of 1st point
x2- x value of 2nd point x1- x value of 1st point
1st point- (0, 12) 2nd point- (1,3)
so your slope equation is this: (3-12) / (1-0) or -9/1 or -9
m is -9
2) find the y intercept y=mx+b
b is whatever y is when x is 0. There's a long way to find it, but you already have it, because one of your points is (0,12). They told you what y was when x was 0.
b is 12.
your linear equation is y=-9x+12
to find the equation of an exponential equation given two points:
1) find a y=a(b)<span>×
</span>if one of your points has a 0 as the x value, the y value is a. you do have a point like this: (0,12) so...
<span>a is 12
</span>2) find b y=a(b)<span>×
put what you know a is in the equation: y=12(b)</span><span>×
then put the x and y values of the other point in for x and y in the equation
so (1,3) 1 is x and 3 is y
3=12(b)^1
when the exponent is 1, it disappears:
3=12b
simplify: b= 3/12 or b=1/4
then put all that in the equation:
y=12(3/4)</span><span>×</span>
Answer:
70
Step-by-step explanation:
well you know that angles in the same segment are equal so angle VWZ also= 38
triangle VWZ is a triangle so the sum of interior angles sums to 180
180-72-38=70
Answer: 5(1st+8t)
Step-by-step explanation:You factor 5st + 40t using GCF .And the GCF of 5 and 40 is 5 .So you take 5st and you divide it by 5 and also you take 40 t and divide it by 5 too.And after you take 5st and you divide it by 5 ,you get 1 st .To add on,after you take 40 t and divide it by 5 you get 8t .Finally ,you take the GCF which is 5 and place Parentheses next to it and you take 1st and 8t and you add them together .
So your expression that is equivalent to 5st + 40t ,is 5(1st+8t) .
Hope it help :)and You are welcome .
