Answer:
(-4)3/(-4)-12
-12/48
-1/4
Step-by-step explanation:
PEMDAS
do multiplication then division
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x = 
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
= 
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
<h2>
Answer:</h2>
C = 2πr
r = C/2π ...(1)
A = πr²
A = π(C/2π)² = πC²/4π²
A = C²/4π.
<u>Correct choice</u> - [A] A = C²/4π.
Answer:
The correct option is D ....
Step-by-step explanation:
Angle is ending at the point = (-3, -4)
Signs of both x and y are negative therefore it is in the third quadrant.
To find the the tangent of an angle we have to find the ratio of the length of the opposite side to the length of the adjacent side.
In this question the opposite side of the angle is of 4 units and the adjacent side of the angle is 3 units.
tanθ = y/x
tanθ = -4/-3
tanθ = 4/3
Thus the correct option is D ....
By the Pythagorean theorem
.. x = √((2√3)^2 -(√6)^2) = √(12 -6) = √6 . . . . cm
x = √6 cm
