So yuo simplyfly
15:20=3:4
6:8=3:4
8:12=2:3
9:12=3:4
so your answer is not c
You need to do this in several steps.
1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
Answer:
The answer to your question is Center = (3 , -1), radius = 3
Step-by-step explanation:
Equation
x² - 6x + y² + 2y = -1
-Process
1.- Leave a space between the like terms
x² - 6x + y² + 2y = -1
2.- Divide the middle term of each group by 2 and write the result to the power of 2 in both sides of the equation.
x² - 6x + (3)² + y² + 2y + (1)² = -1 + 3² + 1²
3.- Simplification
x² - 6x + 9 + y² + 2y + 1 = -1 + 9 + 1
4.- Factor
(x - 3)² + (y + 1)² = 9
5.- Find the center and the radius
Center = (3 , -1)
Radius = √9 = 3
Yes, on the left side you are adding 3x+2 in one and 2+3x in the other. these add to the same number because addition is Commutative on the real numbers.
Answer:
A
Step-by-step explanation:
side opposite to smallest angle is smallest=1
Hypotenuse=2
sin 30=1/2
