Answer:
k = 5
Step-by-step explanation:
Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:
x = 3
y = 15
15 = 3k
Now we divide 3 from both 3x and 15 to segregate the variable x:
15/3 = 3k/3
5 = k
Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.
y = kx
15= (5)(3)
15 = 15
Tada, I hope this helps you!
Answer:
96
Step-by-step explanation:
Hello There!
The following figure shown is a parallelogram
If you didn't know opposite interior angles of a parallelogram are congruent
Therefore the angle that has a measure of 96 degrees and the angle labeled 2 are congruent
hence ∠2=96
Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)
Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).
Answer:
p = -2
Step-by-step explanation:
5p - 10 = + 4(1 + 3p)
first get rid of the bracquetes:
5p - 10 = + 4*1 + 4*3p
5p - 10 = + 4 + 12p
subtract left and right of = sign by 5p
5p -5p - 10 = + 4 + 12p -5p
0 - 10 = + 4 + (12p -5p)
subtract left and right of = sign by 4
-10 -4 = 4 -4 + ( 7p )
re arrange
7p + 0 = -14
divide left and right of = sign by 7
7/7 p = -14/7
p = -2
