Answer:

Step-by-step explanation:
Formula for perimeter of a rectangle:

= width
= length
Since the length is twice the width,
.
So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,

And after some simplification, we are left with,

Hey there! :)
We're trying to find the slope of the line on the graph (not given, but that's okay). We're given the points (-2, 2) and (4, 0).
Using the slope equation, we simply just have to plug our points in and boom - there's your slope!
Slope equation : m = y₂ - y₁ / x₂ - x₁
Now, using our given points, we can very simply plug everything in! :)
Now, in case you didn't know which number aligns with which variable, I'll go ahead and help you out with this.
x₁ = -2 , x₂ = 4 , y₁ = 2 , y₂ = 0
Now, let's plug and chug!
m = (0 - 2) / (4 - (-2))
Simplify.
m = -2 / 4 + 2
Simplify.
m = -2 / 6
Simplify.
m = -1/3
So, our slope is -1/3.
~Hope I helped!~
Answer:
11. a)50 12. a)40
Step-by-step explanation:
sum of all three angles of trinagle=180
so
111.
80+50+x=180
130+x=180
x=180-130
x=50
12.
60+90+x=180
150+x=180
x=190-150
x=40
Solve: 4(6x - 10) = 8x + 40
A 0
B.5/2
c. 23
D. 5
<h3><u>Answer:</u></h3>
Option D
The solution to given equation is x = 5
<h3><u>Solution:</u></h3>
Given that we have to solve the given equation
4(6x - 10) = 8x + 40
Let us solve the above expression and find value of "x"
Multiplying 4 with terms inside bracket in L.H.S we get,
24x - 40 = 8x + 40
Move the variables to one side and constant terms to other side
24x - 8x = 40 + 40
Combine the like terms,
16x = 80

Thus solution to given equation is x = 5