Answer:
Properties of a right tangle can be created in a Coordinate Plane
Distance between two points A and B are shown as below
Step-by-step explanation:
Find distance between two point using Pythagorean Theorem.
Properties of right triangles and creating right triangle as a coordinate Plane.
Suppose two point are drawn in triangle containing value of (-2 , 4 ) and (-2, -2)
then
In (-2 , 4 ) and (-2,-2)
taking y-values that is 4 and -2
find difference between them such as
4-(-2) = 6
Distance is (-2,4) is 6 unit from (-2,-2)
We can also find unit length of A and B
Side A: (-1, 2) and (3,2)
3-(-2) = 5
side A is 5 unit in length
Side B : (-2,2) and (-2,-1)
2 - (-1) = 3
Side B is 3 unit in length
Answer:
30(D)
Step-by-step explanation:
38.48-26.94=11.54
11.54÷38.48×100
≈30
9514 1404 393
Answer:
"complete the square" to put in vertex form
Step-by-step explanation:
It may be helpful to consider the square of a binomial:
(x +a)² = x² +2ax +a²
The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...
2a = 1
a = 1/2
That means we can write ...
(x +1/2)² = x² +x +1/4
But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:
_____
Another way to consider this is ...
x² +bx +c
= x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*
= (x +b/2)² +(c -(b/2)²)
for b=1, c=1, this becomes ...
x² +x +1 = (x +1/2)² +(1 -(1/2)²)
= (x +1/2)² +3/4
_____
* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).
The radius of the area the sprinkler has watered is 8.06 yards.
<h3>What is Rotation ?</h3>
Rotation is spinning around a fixed point with a fixed radius in circular motions.
It is given that a sprinkler rotates 360 degree
The area watered is 204 sq. yards
Radius = ?
A sprinkler rotates in circle
Therefore the area of the circle = π r²
204 = π r²
204 * 7 /22 = r²
r² = 64.91
r = 8.06 yards
Therefore the radius of the area the sprinkler has watered is 8.06 yards.
To know more about Rotation
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A), e), and g) are the correct answers
