Express 0.125 as a fraction in its lowest form.
2 answers:
You might be interested in
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = =
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D
Answer:
Step-by-step explanation:
In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.
It should be clear that
sin(2α) = 2 sinα cosα
So,
See what you can do with the others.
<h2>The value of x = - 
</h2>
Step-by-step explanation:
The given expressiona are:
and
To find, the value of x = ?
∴
By crossmultiplication, we get
4(3x + 2) = 2(3x - 6)
⇒ 12x + 8 = 6x - 12
⇒ 12x - 6x = - 12 - 8
⇒ 6x = - 20
⇒ 3x = - 10
⇒ x = -
∴ The value of x = -
Thus, the value of x is equal to - .