Answer:

Step-by-step explanation:
Since the line passes through the origin, it must be a proportional/direct variation equation.
Direct variation equations have the form:

Where a is the constant of proportionality.
Let’s solve for a. We know that when x=5, y=40. So:

Divide both sides by 5:

Therefore, our equation is:

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

Divide both sides by 8:

Hence, the value of k is -3.
Step-by-step explanation:
15.5 is the answer sorry if I am wrong
Answer: 7800
Step-by-step explanation:
As English alphabet has 26 letters.
So , Choices for First character in the code = 26
The choices for digits = 10 (From 0 to 9)
So , choices for second character = 10 (Middle two characters must be numbers)
choices for third character = 10 (Middle two characters must be numbers)
Choices for last character = 3 (the last character must be a 1, 3, or 7)
By Fundamental principle of counting , the total number of four character codes can be generated =
(Choices for First character)x (choices for digits) x(choices for digits) x(Choices for last character)
= (26) (10)(10)(3) =7800
Hence, the total number of character codes can be generated= 7800
Answer:
130
Step-by-step explanation:
Supplementary angles are angles that are equal to 180 degree so if one is 50 degrees then the other must be added to it and get 180
180= 50 + ∠4
-50 -50
130=∠4
Answer:
x = 1 and y = 4
Step-by-step explanation:
Solution,
(x+2,y) = (3,4)
Now,
Comparing corresponding elements,
x+2 = 3 , y = 4
or, x = 3 - 2 , y = 4
or, x = 1 , y = 4
Therefore, the value of x is 1 and y is 4.