Answer:
5 rides.
Step-by-step explanation:
$28 - $6.50 = $21.50
$21.50 - $4 = $17.5
$17.5 ÷ $3 = 5.83
Answer:
4^-2=1/16
Step-by-step explanation:
When we are multiplying exponents and the bases are the same, we add the exponents
4^6 * 4^-8
4^(6+-8)
4^-2
1/16
Step-by-step explanation:
there are
150 + 83 + 57 + 10 = 300 students in total.
so,
100% = 300
1% = 100%/100 = 300/100 = 3
a.
150 / 3 = 50%
b.
83 / 3 = 27 2/3 % or 27.66666...%
c.
57 / 3 = 19%
d.
10 / 3 = 3 1/3 % or 3.333333...%
The answer should be 12x squared + 6x if not 12x+6
Answer:
y = -1/√3 (x − 4)
Step-by-step explanation:
Let's say the point where the tangent line intersects the circle is B (bₓ, bᵧ). Therefore:
bₓ² + bᵧ² = 4
The slope of the tangent line at that point is dy/dx, which we can find with implicit differentiation:
x² + y² = 4
2x + 2y dy/dx = 0
2y dy/dx = -2x
dy/dx = -x/y
At point B, the slope of the tangent line is m = -bₓ/bᵧ.
We can also write that as the slope between the points A(4, 0) and B(bₓ, bᵧ).
m = (bᵧ − 0) / (bₓ − 4)
m = bᵧ / (bₓ − 4)
Setting the expressions equal:
-bₓ / bᵧ = bᵧ / (bₓ − 4)
bᵧ² = -bₓ (bₓ − 4)
bᵧ² = 4 bₓ − bₓ²
Substituting this into the first equation:
bₓ² + (4 bₓ − bₓ²) = 4
4 bₓ = 4
bₓ = 1
Therefore, bᵧ = √3. So the slope of the line is -1/√3. The equation of the line is:
y − 0 = -1/√3 (x − 4)
y = -1/√3 (x − 4)
Graph: desmos.com/calculator/sornb1ajgp
