Answer:
we have the centre as:
(−2,0)
radius √12=2√3
Explanation:
The standard equation of a circle is
(x−a)2+(y−b)2=r2
where (a,b)
is the centre, and
r is the radius,
we thus have to complete the square on the given equation.
x2+y2+4x−8=0
rearrange slightly
x2+4+y2−8=0(x2+4+2)+y2−8−22=0(x+2)2+y2−12=0(x+2)2+y2=12
comparing with
(x−a)2+(y−b)2=r2
we have the centre as:
(−2,0)
radius
√12=2√3
Answer:
Perimeter ratio = 2:1
Area ratio = 4:1
Step-by-step explanation:
<u>Perimeter</u>
Perimeter of the smaller photo =
inches
Perimeter of larger photo =
inches
Ratio:
Perimeter of larger photo : perimeter of smaller photo =
<u>Area</u>
Area of smaller photo =
inches²
Area of larger photo =
inches ²
Ratio
Area of larger photo : area of smaller photo =
∴The ratio of the perimeters = 2:1, and the ratio of the areas = 4:1
Hope this helps :)
Answer:
3.5
Step-by-step explanation:
The formula for the pH of a solution of hydronium ions is given by the logarithmic equation pH=-log [H3O+], where [H3O+] is the hydronium ion concentration. Find the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10^-4
We have the Logarithmic equation
pH=-log [H3O+],
We have the hydronium ion concentration = 3.2 x 10^-4
Hence,
pH = - log[3.2 × 10 ^-4]
pH = 3.4948500217
Approximately
pH = 3.5
Therefore, the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10^-4 is 3.5
Sinθ=opposite side/hypotenuse
cosθ=adjacent side/hypotenuse
where both the sides are relative to theta.
in this case, 22 is your hypotenuse. theta (θ) is the angle you are examining. i've included a diagram for reference because the equations may format differently depending on which angle you choose as theta.
using my diagram:
sinθ = o/h
sin 15 = o/22
sin 15(22) = o
o=5.69m/s
therefore the vertical component is about 5.69m/s.
cosθ=a/h
cos15 = a/22
cos15(22) = a
a = 21.25m/s
therefore, your horizontal component is about 21.25m/s.
Answer:
The correct option is D.
Step-by-step explanation:
A paralellogram is a flat shape with 4 straight sides and opposite sides are parallel.
There are six important properties of a parallelogram.
1) Opposite sides are congruent.
2) Opposite angels are congruent.
3) Consecutive angles are supplementary.
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other....