In a + b, if b is divisible by n, is a + b divisible by n?

Mathematics

1 answer:

levacccp [35]3 years ago

3 0

Answer:

Step-by-step explanation:

I think the answer should be no because only b is divisible by n not a

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Eth enlarged the triangle below by a scale of 5.

levacccp [35]

Answer:

She should have multiplied one half (4)(3.5) by 5 squared.

Step-by-step explanation:

We are given that

Base of triangle=b=4 cm

Height of triangle=h=3.5 cm

Area of triangle= $\frac{1}{2}bh=\frac{1}{2}(4)(3.5) cm^2$

After enlarged

Scale factor=5

New base of enlarged triangle=b'=4(5) cm

Height of enlarged triangle=h'=3.5(5) cm

Area of enlarged triangle= $\frac{1}{2}4(5)(3.5\times 5)=\frac{1}{2}(4)(3.5)(5^2) cm^2$

But Beth wrote

Area of enlarged triangle= $\frac{1}{2}(4)(3.5)(5)=35 cm^2$

She should have multiplied one half (4)(3.5) by 5 squared.

3 0

3 years ago

Which expressions are equivalent to the one below. Check all that apply. 16^x

madam [21]

$A.\ 4^x\cdot4^x=4^{x+x}=4^{2x}\qquad\text{used}\ a^n\cdot a^m=a^{n+m}\\\\B.\ 4^{2x}=(4^2)^x=16^x\qquad\text{used}\ (a^n)^m=a^{nm}\\\\C.\ 4^2\cdot4^x=4^{2+x}\\\\D.\ (4\cdot4)^x=16^x\\\\E.\ 4\cdot4^{2x}=4^{1+2x}\\\\F.\ 4\cdot4^x=4^{1+x}\\\\Answer:\ \boxed{B.\ and\ D.}$