The line above can be named in 2 different ways
Answer:
As per the given statement:
Original quantity = 10
New quantity = 13
Change in quantity = New quantity - original quantity = 13-10 = 3
We have to find the percent increase.

Substitute the given values we have;

Therefore, the percent increase is, 30%.
Answer:
x
2
+6xy+9y
2
+4x+12y−5=0
Step-by-step explanation:
x
2
+6xy+9y
2
+4x+12y−5=0
Comparing the equation with the general equation of second degree gives
a=1,b=9,h=3,g=2,f=6,c=−5
Angle between a pair of straight lines that is tanθ=
∣
∣
∣
∣
∣
∣
a+b
2
h
2
−ab
∣
∣
∣
∣
∣
∣
tanθ=
∣
∣
∣
∣
∣
1+9
2
9−1×9
∣
∣
∣
∣
∣
=
9
0
tanθ=0
⇒θ=tan
−
(0)=0
∘
Angle between the pair of straight lines is zero therefore the lines are parallel.
Hence proved
Answer:
4
Step-by-step explanation:
s is 2,1 t is 1
Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) 

Thus, the equation is TRUE.
(2) 

Thus, the equation is FALSE.
(3) ![4^{\frac{1}{2} } = \sqrt[4]{64}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%5Csqrt%5B4%5D%7B64%7D)
![4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%20%5Csqrt%7B4%7D%20%3D%202%5C%5C%5C%5C%5Csqrt%5B4%5D%7B64%7D%20%20%3D%20%2864%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%3D%20%282%5E6%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%3D%202%5E%7B%5Cfrac%7B6%7D%7B4%7D%20%7D%20%3D%202%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%3D%28%5Csqrt%7B2%7D%20%29%5E3%20%3D%20%28%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%29%20%3D%202%5Csqrt%7B2%7D)
Thus, the equation is FALSE.
(4) ![2^8 = (\sqrt[3]{16} )^6](https://tex.z-dn.net/?f=2%5E8%20%3D%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6)
![2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256](https://tex.z-dn.net/?f=2%5E8%20%3D%20256%5C%5C%5C%5C%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6%20%3D%20%2816%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%5E4%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%29%5E%7B%5Cfrac%7B24%7D%7B3%7D%20%7D%20%3D%202%5E8%20%3D%20256)
Thus, the equation is TRUE.
(5) 

Thus, the equation is FALSE.