Answer:
x = 929/126
Step-by-step explanation:
12/19(x-22)=38-6x-3
Combine like terms
12/19(x-22)=35-6x
Multiply each side by 19
19* 12/19(x-22)=19*(35-6x)
12( x-22) = 19*(35-6x)
Distribute
12x - 264 = 665 - 114x
Add 114x to each side
12x +114x - 264 = 665 - 114x+114x
126x -264 = 665
Add 264 to each side
126x-264+264 = 665+264
126x = 929
Divide each side by 126
126x/126 = 929/126
x = 929/126
Answer:
(4, -2)
Step-by-step explanation:
Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;
6 units to the rights is towards the positive x axis
7 units down is towards the negative y axis
R' = (-2+6, 5-7)
R' = (4, -2)
Hence the coordinate point of R' on the plane is (4, -2)
The square root of 81 is 9
Answer:
4
Step-by-step explanation:
BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4
Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation 
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get
So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
