Answer:
x=0
Step-by-step explanation:
substitute y=0
0= -x^2
then swap the sides
-x^2=0 ,
change the signs
x^2=0
set the base equal to 0
x=0
Answer:
0.43478
Step-by-step explanation:
From the information given:



= 0.05434782609 + 0.1086956522 + 0.1086956522 + 0.1630434783
= 0.4347826088
≅ 0.43478
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Find the slope:
y₂ - y₁ / x₂ - x₁
-1 - 2 / 0 - 4
-3 / -4
3/4
y = mx + b
y = 3/4x + b
Substitute any of the point's coordinate in the equation.
I'll pick (0,-1)
y = 3/4x + b
-1 = 3/4(0) + b
-1 = 0 + b
-1 = b
y-intercept = -1
y-intercept Equation:
y = 3/4x - 1
Point-slope form:
y - 2 = 3/4(x - 4)
Standard form:
-3/4x + y = -1
In the
plane, we have
everywhere. So in the equation of the sphere, we have

which is a circle centered at (2, -10, 0) of radius 4.
In the
plane, we have
, which gives

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the
plane,
, so

which is a circle centered at (0, -10, 3) of radius
.