Answer:
-8 12 5
Step-by-step explanation:
they are the numbers attached to the variables
1/8 i think it is good bye
4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ
hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)
We know that
circumference=2*pi*r-------> r=circumference/(2*pi)
circumference=30 in
r=circumference/(2*pi)------> 30/(2*pi)-----> 4.7746 in
the radius of a <span>standard basketball is 4.77 in
</span>
<span>the distance between the ball and the rim is equal to
</span>radius of a basketball rim minus radius of a a standard basketball
radius of a basketball rim =18/2------> 9 in
radius of a a standard basketball=4.77 in<span>
</span>
the distance between the ball and the rim=[9-4.77]------> 4.23 in
the answer is
4.23 in
<em> x₁ = - 1</em>
<em> x₂ = 2</em>
- Step-by-step explanation:
<em>2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0</em>
<em>2²ˣₓ2 - 9ₓ2ˣ + 4 = 0</em>
<em>2ˣ = n</em>
<em>2n² - 9n + 4 = 0</em>
<em>2n² - n - 8n + 4 = 0</em>
<em>n(2n - 1) - 4(2n - 1) = 0</em>
<em>(2n - 1)(n -4) = 0</em>
<em>2n - 1 = 0 => n₁ = 1/2</em>
<em>n - 4 = 0 => n₂ = 4</em>
<em />
<em>2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1</em>
<em>2ˣ = 4 => 2ˣ = 2² => x₂ = 2</em>
