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>
Answer:
A
Step-by-step:
a^2+ b^2 = c^2
if we try A
6^2+8^2 = 10^2 => 64+36 = 100
Percentages can be used for discounts in shops - 50% off cookies
For bank interest rates - 2.78% p.a.
Sales tax - $50 coffee maker and the sales tax is 8%
Answer:
Step-by-step explanation:
Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.
The two point form is given as
Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.
adding x and 6 on both sides we get
Hence this is our equation of the line passing through (5,6) & (4,7)
Answer:
X:1 2 3 4 5 Y:7 11 15 19 23.
Step-by-step explanation:
We just need to put in the values of x into the equation: y = 4x + 3.
<u>x = 1: </u>
y = 4(1) + 3
= 4 + 3
y = 7
<u>x = 2: </u>
y = 4(2) + 3
= 8 + 3
y = 11
<u>x = 3:</u>
y = 4(3) + 3
= 12 + 3
y = 15
<u>x = 4:</u>
y = 4(4) + 3
= 16 + 3
y = 19
<u>x = 5:</u>
y = 4(5) + 3
= 20 + 3
y = 23
