Hello.
This is how I would work out this question, please let me know if there are any flaws.
Write an equation:
9x+24+30x=180
We know that a straight line is an 180 degree angle, so both angles should have a sum of 180.
Now, we solve algebraically.
9x+24+30x=180
39x+24=180
39x+24-24=180-24
39x=156
39x/39=156/39
x= 4
Substitute 4 for x in each expression.
9x+24
9(4)+24
36+24
60
So, the first angle is 60 degrees.
30x
30(4)
120
The second angle is 120 degrees.
Angle AEB is opposite angle DEC, so that means it has the same value of 60 degrees.
∴The answer is 60 degrees.
Please check it over and try other ways of solving to make sure I have the correct answer. I tried my best, hope this helps!
The complete question is
"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."
The correct option from the given function are A; f(x) has a greater slope.
<h3>What is the
slope of a line which passes through points ( p,q) and (x,y)?</h3>
Its slope would be:
The slope of a function in the form of y = mx + C is m,
So the slope in the function
f(x)=4x+10
m = 4
Now when you have a function but you only have a table to evaluate it, to calculate the slope
(p, q) = (4, 7)
(x, y) = (6, 9)
This means that:
Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,
Thus, f(x) has a greater slope than g(x).
Learn more about slope here:
brainly.com/question/2503591
#SPJ1
Answer:
A. y -9 = 2(x -1)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You are given m=2 and (h, k) = (1, 9). Putting these values into the form gives ...
y -9 = 2(x -1)
Answer:
y intercept is 0
Step-by-step explanation:
y=2/3x+b
if x=0 y=0 (0,0)
if x=3, y=2 (3,2)
y=2/3x+b
2=2+b
b=0
Answer:
15 cm
Step-by-step explanation:
When the rectangular sheet rolled along its length, the breadth becomes the height of the cylinder, and the length becomes the circle, so the height is 15 cm
