PLEASE HELP AND SHOW WORK

Mathematics

1 answer:

Reil [10]4 years ago

4 0

Answer:

Step-by-step explanation:

If we extend this triangle we see that it makes a right triangle with legs of 6 and 6. The area of that triangle is 1/2 * 6 * 6 = 18. The part that is not shaded is a right triangle with legs 6 and 2, it's area is 6 * 2 / 2 = 6. The shaded area is 18 - 6 = 12.

You might be interested in

Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Base

suter [353]

Answer:

The correct option is option (3) 4 ÷ 25.

Step-by-step explanation:

The expression in terms of m and n is:

$F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}$

Exponent rule of division:

$a^{x}\div a^{y}=a^{x-y}$

Compute the value of the expression for m = -5 and n = 3 as follows:

$F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}$

$F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}$

$=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}$