Answer:
x=8, y=25. As a point it's (8,25)
Step-by-step explanation:
here is the system:
y=x+17
y=3x+1
notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)
so it'll be:
3x+1=x+17
subtract 1 from both sides
3x=x+16
subtract x from both sides
2x=16
divide by 2
x=8
now, substitute 8 as x into one of the equations and solve for y
let's take the first one for example
y=8+17
y=25
so the answer is x=8, y=25. As a point it's (8,25)
Hope this helps!
1: establish the angles, basically label one x (the small one) and the other y (the bigger one)
2. supplementary angles add up to 180, so therefore you have the equation x + y = 180.
3. so y (the bigger one) is 8 less than 3 times the smaller one (x) therefore you come up with the equation y = 3x - 8
4. plug in the equation of the bigger one into the other equation
x + 3x - 8 = 180
(combine like terms)
4x - 8 = 180
5. solve the equation by adding 8 to 180, then by dividing by 4.
x should equal 47
6. plug in 47 into the x + y = 180 equation, subtract 47 from 180 and you end up with 133
i hope i explained it alright
Mean
: The average of all the data in a set.
Median
: The value in a set which is most close to the middle of a range.
Mode
: The value which occures most frequently in a data set.
12,9,12,11,10,18,7,19,13,19
Mean = 13 (Average)
Median = 12 (Middle)
Mode = 12, 19 (most common)
Answer:
scale factor is 3, k=3
Step-by-step explanation:
everything is being multiplied by 3
Answer:
This function represents a direct variation because it passes through the origin and has a constant rate
