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What is the Center and radius of a Circle
$(x+4)^{2}+(x+1)^{2}=9$ The general equation of a circle is given as $(x-a)^{2}+(x-b)^{2}=r^{2}$ By comparison $a=-4, b=-1$ and $r=\sqrt {9}=3$ $\therefore$ center (-4, -1) and radius =3
The general equation of a circle is given as
By comparison
and
center (-4, -1) and radius =3
See lessTypes of faults
There are three basic types of seismic waves – P-waves S-waves Surface waves
There are three basic types of seismic waves –
P-waves
S-waves
Surface waves
See lessOn a six-sided die, each side has a number between 1 and 6. What is the probability of throwing a 3 or a 4?
Sample space=${1,2,3,4,5,6}$ $\rightarrow$ Prob.(3) or Prob.(4) $\rightarrow \dfrac{1}{6}+\dfrac{1}{6}$ $\rightarrow \dfrac{2}{6}=\dfrac{1}{3}$
Sample space=
Prob.(3) or Prob.(4)
See lessWhat is the square root of 2525?
$\sqrt {2525}$ $\sqrt {25 \times 101}$ $\sqrt {25} \times \sqrt {101}$ $5 \times \sqrt {101}$ $5\sqrt {101}=50.25$
Volcanic Eruption
According to Encyclopædia Britannica, Inc. Volcanic eruptions may fall into six major types: Icelandic Hawaiian Strombolian Vulcanian Pelean Plinian
According to Encyclopædia Britannica, Inc. Volcanic eruptions may fall into six major types:
See lessIcelandic
Hawaiian
Strombolian
Vulcanian
Pelean
Plinian
Simplifying fractions
$2^{-3} \div 2^{2}$ Applying law of indices $2^{-3-2}=2^{-5}=\dfrac{1}{2^{5}}=\dfrac{1}{32}$
Applying law of indices
See lessSimplifying multiplication
In $-9^{2}$, the square did not affect the minus sign. While in $(-9)^{2}$, the square affects the minus sign and change it to plus sign. Also difference in mathematics means minus Hence, $-9^{2}-(-9)^{2}$ $-81-81=-162$
In , the square did not affect the minus sign. While in , the square affects the minus sign and change it to plus sign.
Also difference in mathematics means minus
Hence,
See lessAlgebra queston.?
$f(x)=5-2x$ Let $f(x)= y$ $y=5-2x$ Make x subject if the formulae $x=\dfrac{y-5}{-2}$ Let $x=f^{-1}(x)$ and $y=x$ $\therefore f^{-1}(x)=\dfrac{x-5}{-2}$ Hence, $f^{-1}(-3)=\dfrac{-3-5}{-2}$ $f^{-1}(-3)=\dfrac{-8}{-2}=4$
Let
Make x subject if the formulae
Let and
Hence,
See lessWhich of the following examples is not a biomolecule?
Fentose
Fentose
See lessCalculus: Integral
$\int (10x^{3}-2\sec ^{2}x)dx$ $\int 10x^{3}dx -2\int \sec ^{2}xdx$ $10\int x^{3}dx -2\int \sec ^{2}xdx$ $10\dfrac {x^{3+1}}{3+1}-2tan x+C$ $10\dfrac {x^{4}}{4}-2tan x+C$
See less