Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
<span><u>1/3x - 1/2y = 1</u>
At the 'x' intercept, y=0 , and the equation is 1/3 x = 1
Multiply each side by 3 : <em>x = 3 </em> <== the x-intercept
At the 'y' intercept, x=0, and the equation is -1/2 y = 1
Multiply each side by 2 : - y = 2
Multiply each side by -1 : <em> y = -2 </em> <== the y-intercept
</span>
B is correct... Is that not right?
Knowing that a ratio applies to the same situation in just a larger/smaller scale;
(13.5)(7)=x (where x is the predicted number of scores)
94.5=x
Therefore, the player should score 94.5 points in 7 games.
Hope I helped :)
The volume of a cone is (1/3)pi r^2 and of a cylinder it is just pi r^2. So the volume of the cylinder will be 3 times that of the cone with the same base and height. So V_cylinder = 36 pi inches^3
Remember: inches is a unit of length in 1D. For 3D volume use inches^3
