Answer:
<h2>1. 14 in</h2><h2>2. 28 in.</h2><h2>3. 43 in</h2>
Step-by-step explanation:
x 2x 3x + 1
|---------|-------------------|---------------------------|
|<-------------------- 85 in ------------------------>|
85 = x + 2x + 3x + 1
85 - 1 = 6x
x = 84 / 6
x = 14
1st piece = 14 in
2nd piece = 2(14) = 28 in
3rd piece = 3(14) + 1 = 43 in
----------------------------
total = 85 in
To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped
Answer:
$12 per hour
Step-by-step explanation:
In order to find her hourly rate we have to find the amount of dollars billed per hour. To do this we can use this expression: 
Let's use the points (1, 27) and (2, 39) in the expression:
Now let's simplify the expression:
39 - 27 = 12
2 - 1 = 1
The expression simplifies to 12/1, or 12. This means that Brenda is billed $12 every hour she uses her phone.
I hope this helps :)
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: brainly.com/question/847634
