The equation starts as
in order to solve for k first you must multiply each side by p. you must multiply each side by p as it is originally being divided, to get rid of it you must do the opposite operation.
you cross multiply and end up with
now to leave k by itself you must divide by t
the t cancels out or becomes 1 leaving you with the answer of
The number of solutions for the given two line graph is; D: One Solution
<h3>How to Interpret Parallel Line graphs?</h3>
Since the two lines in the graph are not parallel, it means that both lines will intersect at some point.
Now, from the graph, we can see the following highlights;
The x-coordinate of the point of intersection is at x = 1.5
The y-coordinate of the point of intersection is at y = -0.75
Thus, the ordered pair that represents the solution is (1.5,-0.75)
Thus, the two line graph has only one solution
Read more about Parallel line graphs at; brainly.com/question/1698138
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Answer:
For #21, x = 35, y = 85
Step-by-step explanation:
For these types of problems, you will simply use to facts. The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent. With that being said, let's work #21.
We can see that there are two lines, and we are given 2 values to find with 3 possible equations.
[1] ( 2x + 25 ) + y = 180
[2] y + ( 3x - 10 ) = 180
[3] 2x + 25 = 3x - 10
Using any of these equations, we can solve for the variables. Let's use the 1st and 3rd equations to find x and y.
2x + 25 = 3x - 10
2x + -2x + 25 + 10 = 3x + -2x + -10 + 10
35 = x
Now plug in the value of x to find y:
( 2x + 25 ) + y = 180
( 2(35) + 25 ) + y = 180
( 70 + 25 ) + y = 180
95 + y = 180
y = 85
We can check these values by plugging into the 2nd equation
x = 35 ; y = 85
y + ( 3x - 10 ) = 180
(85) + (3(35) - 10) = 180
85 + ( 105 - 10) = 180
85 + 95 = 180
180 = 180
Thus, we have validated our results and found the values of x and y.
Cheers.
Answer:
The values are x = 0° or x = 60°
Step-by-step explanation:
Given:
Let it be in the form of
such that
a = 1
We have
Now, Dividing both the side by 
we get
We Know
Now by replacing with above values we get
Also we have formula
By applying the above Formula we get
Also ,
Comparing we get
60 + x = 60 or 60 + x = 120
∴ x = 0° ∴ x = 120 - 60 = 60°
Therefore, the values are x = 0° or x = 60° i.e between 0° to 360°
Answer:
slope = -3/4
Step-by-step explanation:
y(1)-y(2)/x(1)-x(2)
Plug in coordinates (0,4) and (4,1)
1-4/4-0
-3/4 is the slope
