Answer:
x = 7
Step-by-step explanation:
In this question, we need to find what the value of x is.
To do so, we need to find the value of the change of the triangle, since the triangles are basically the same
We know to get from 18 to 27, we would need to multiply 18 by 1.5.
This means that the triangle "BCD" is increasing from 1.5 to get "JKL"
With this knowledge, we also know that side CB, 10, needs to increase by 1.5
When you multiply 10 by 1.5, you get 15.
The triangle side "JK" is the same side as "CB", so we need to find what makes the value of 15 for the "JK" side.
To do this, solve 3x-6 for 15.
3x - 6 = 15
Add 6 to both sides.
3x = 21
Divide both sides by 3
x = 7
The x-variable would be 7.
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Answer:
10x-20
Step-by-step explanation:
5(2x-4)
5x2=10
5x4=20
