10^1. 10^2. 10^3. 10^4. 10^5. Etc
Answer:
The length of the side of an equilateral traingle
inches
Step-by-step explanation:
Given that the area of an equilateral triangle is given by

It can be written as
Square inches (1)
To find the length of the side s os an equilateral triangle
Given that area of an equilateral triangle is
square inches
It can be written as

square inches
It can be written as

square inches (2)
Now comparing equations (1) and (2) we get


Dividing by
on both sides we get




Therefore
inches
Therefore the length of the side of an equilateral traingle
inches
Step-by-step explanation:
[1/2]^-2= 4
[1/3]^-2=9
[1/4]^-2=16
So sum is 4+9+16=29
Hope this helps you.
It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.
Solve these equations to find x and y: 2x+18=38, 3y+11=38


Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2