Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV=
m∠TUL+
m∠LUV
now plug in the angles for each
m∠TUV=
m∠TUL+
m∠LUV
solve the equation for x
Subtract 11 from both sides
divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)°
= (24)°
answer:
24°
Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Answer:
Yes. This equation defines y as function of x.
Step-by-step explanation:
Step 1:
Solve the equation for y (this puts the equations in terms of y)
2x+y=8 becomes
y = 2x - 8
This is a linear equation, which is a funtion.
*Another way to solve this is to look at the graph. Graphing this equation gives us a line. Use the vertical line test to see if it's a function.
To pass the vertical line test (VLT), there can only be one y value to each x value along the graph. If it passes the VLT, the equation is a function.
If it fails the VRT, the equation is not a function.
To do this, divide each term in the parenthesis with 5b. When you divide exponents with the same base, just take their difference:
(5/5)ab^(1-1) - (10/5)b^(2-1) + (15/5)b^(1-1)c
ab^0 - 2b + 3b^0c
a - 2b +3c
I hope I was able to give a good explanation. Have a good day.
