Answer:
X = 13/3
Step-by-step explanation:
24x - 6 = 9x + 38+21
24x - 9x= 38 + 21 + 6
15x = 65
X = 65/15 = 13/3
X = 13/3
Answer:
y = 2x +3
Step-by-step explanation:
To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run
So, m = (9 - 3) / (3 - 0)
m = 2
Now we have y = 2x +b
Notice one of our points is (0,3)
Since the x value of that point is 0, it is the y intercept.
In the slope intercept form b = y-intercept
Therefore b = 3
So, y = 2x + 3
Basically, you just want to keep flipping a coin a total of 10 times, 27 more times. (If that makes any sense) You also want to keep recording the number of heads in each set of 10.
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
