Answer:
g =6/5 g=-5/2
Step-by-step explanation:
(5g − 6)(2g + 5) = 0
Using the zero product property
(5g − 6) =0 (2g + 5) = 0
5g-6+6 =0+6 2g+5-5=0-5
5g =6 2g =-5
5g/5 = 6/5 2g/2 =-5/2
g =6/5 g=-5/2
Answer:
y=x-6
Step-by-step explanation:
The x-intercept is found replacing y = 0, as follows:
<u>Function:</u> y = -3x + 8
x-intercept:
0 = -3x + 8
3x = 8
x = 8/3
<u>Function</u>: y = -3x + 6
x-intercept:
0 = -3x + 6
3x = 6
x = 6/3 = 2
<u>Function</u>: y = -x - 8
x-intercept:
0 = -x - 8
x = -8
<u>Function</u>: y = x - 6
x-intercept:
0 = x - 6
x = 6
The last option is the only one in which x-intercept is x = 6.
The correct axis of symmetry is x = -1.
Explanation:
Our equation is

.
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
Answer:
25.13
Step-by-step explanation:
C=2πr=2·π·4≈25.13274cm
Answer: equation of the tangent plane is z = 1
Step-by-step explanation:
Given equation
z = e^(-x²-y²) at point (0,0,1)
now let z = f(x,y)
Δf(x,y) = [ fx, fy ]
= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))
now
Δf (0,0) = [ 0, 0 ] = [ a, b ]
equation of the tangent plane therefore will be
z - z₀ = a(x-x₀) + b(y-y₀)
z - 1 = 0(x-0) + 0(y-0)
z - 1 = 0 + 0
z = 1
Therefore equation of the tangent plane is z = 1