The distance between (-4,3,-6) and the origin is 
<h3>How to determine the distance?</h3>
The point is given as:
(x, y, z) = (-4,3,-6)
The origin is
(x, y, z) = (0,0,0)
The distance between the point and the origin is calculated as:

So, we have:

Evaluate

Hence, the distance between (-4,3,-6) and the origin is 
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3
x
+
2
y
>
24
3
x
+
2
y
>
24
Solve for
y
y
.
Tap for more steps...
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
3
2
-
3
2
Y-Intercept:
12
12
Graph a dashed line, then shade the area above the boundary line since
y
y
is greater than
−
3
x
2
+
12
-
3
x
2
+
12
.
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Answer:
The integers are (x, y) = (40, 8).
Step-by-step explanation:
x = 5y
xy = 320
Substitute the first equation into the second equation.
(5y)(y) = 320
5y^2 = 320
y^2 = 64
y = 8 (y must be positive)
The integers are (x, y) = (40, 8).
Answer:
x=15/7
Step-by-step explanation:
7x-3=12
+3=+3
7x=15
/7=/7
x=15/7
This problem is quite simple, I'll try to help you understand why it is~
f(x) is NOT f times x, but it is f, the function of x.
This means that the value of f depends on the value of x. f(1) means the value of the function, f, when x = 1.
Thus, f(3) is the value of the function, f(x), when x = 3. According to the table, f(x) is 1 when x is 3. That should be your answer.
Please do let me know if you still do not understand.
Happy Studying~