Answer:
Step-by-step explanation:
<u>Work:</u>
- 2(π x 21 x 21/2) + (π x 42 x 42/4) = Area of figure
- => π x 21 x 21 + (π x 42 x 42/4) = Area of figure
- => (22/7 x 21 x 21) + (22/7 x 21 x 21) = Area of figure
- => 2(22/7 x 21 x 21)
- => 2(22 x 3 x 21)
- => 2772 cm²
Hence, the area of the shape is 2772 cm².
To start to solve this problem, we need to know what vertex form is. The vertex form of a parabola is. The vertex form of a parabola is a(x-h) + k, where k is the vertical shift, h is the horizontal shift, and a is the value that tells the stretch.
To start to solve this equation, we want to start to create a difference of two squares.
y = 2(x²+
x) We do this step to make the x² have a coefficient of 1
Now, we want to complete the square. To complete the square, we take 1/2 of the coefficient of x, and then square that.
1/2 * 1/2 = 1/4, and 1/4²=1/16
That means that we need to add 1/16 inside and outside the parenthesis.
We get:
y = 2(x²+1/2x + 1/16) - 1/16*2
We do -1/16*2 on the outside because since we added it inside the parenthesis, we need to take it away somewhere else (if that makes sense). The two is there because there is a two in front of the parenthesis.
We get:
y = 2(x+1/4)² - 1/8, by completing the square and simplifying, and this is the final answer.
The answer:
the main rule:
for all value positive of a real b, √b²= b, and √b*c= √b * √c, if c is a real positive
let A=√25x^4, we know that 25x^4=5² * x² * x²
therefore,
√25x^4= √5² * x² * x² =√5² √x² √x² = 5* x*x= 5x²
the final answer is A=√25x^4=5x²