Answer: 27.7 square inches.
Step-by-step explanation:
Let 'a' be the side of equilateral triangle.
Then the perimeter of the triangle = a+a+a=3a
Given: Perimeter of the equilateral triangle = 24 inches We know that the area of a equilateral triangle is given by :-
Answer:
The correct option is x=3 , y=2
Step-by-step explanation:
According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
Now we will plug the value y+1 of equation 1 in equation 2.
2x+3 = 3y+3
2(y+1)+3=3y+3
2y+2+3=3y+3
2y+5=3y+3
Now combine the like terms:
5-3=3y-2y
2=y
y=2
Now plug the value y=2 in equation 1.
x=y+1
x=2+1
x=3
Thus the values of(x.y) are{(2,3)}
Therefore the correct option is x=3 , y=2 .....
D. S, the number of students at the school
The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.
Answer:
Folow the steps to learn what transformations were determined.
Step-by-step explanation:
First we would have to graph the parent function which is f(x) = x^2. Start by finding your x and y values. Find the y values by plugging in the x values into the parent function.
X Y
2 4
1 1
0 0
-1 1
-2 4
Once these points are plotted you can start determining what are the transformations. Find the difference between the parent function and f(x) = (x + 4)^2 + 2 by looking below.
Vertical Shifts:
f(x) + c moves up,
f(x) - c moves down.
Horizontal Shifts:
f(x + c) moves left,
f(x - c) moves right.
The parent function has to be transformed left 4 and up 2. In order to do this shift each point from earlier left 4 and then up 2. In conclusion you will have two functions graphed (parent function and the transformed function).
