Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
Given:
Image of the ellipse
To find:
The equation of the image
Solution:
The given image is a ellipse.
Center of the ellipse = (0, 0)
x-axis points are (-3, 0) and (3, 0).
y-axis points are (2, 0) and (-2, 0).
Standard form of equation of ellipse:
where (h, k) is the center = (0,0)
a is the point on x-axis where y = 0. Hence a = 3.
b is the point on y-axis where x = 0. Hence b = 2.
Substitute this in the standard form of ellipse.
To make the denominator same multiply 1st term by 
and 2nd term by 
.
Multiply by 36 on both sides
The equation of the image is .
Answer: 12%
Step-by-step explanation:
Original amount = Rs 1550
VAT = Rs 1736 - Rs 1550 = Rs 186
VAT rate = VAT/Original amount × 100
= 186/1550 × 100
= 18600/1550
= 12%
Therefore, the VAT rate is 12%.
Check:
= Rs 1550 + (12% × Rs 1550)
= Rs 1550 + $186
= Rs 1736
Answer:
yes.
Step-by-step explanation:
by performing the vertical line test, you can see that the line only goes through one point, so it is a function.
Answer:
84%
Step-by-step explanation:
21 correct + 4 wrong = 25 questions in total
x 4 = 
= 0.84
0.84 = 84%
