Answer: Option C.
Step-by-step explanation:
You need to find the distance AB with the formula for calculate the distance between two points:
Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:
You know that A'B'=6, then the scale factor of dilation can be calculated with:
Substituting values, you get:
This matches with the option C.
A^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
answer is A
Given parameters:
Equation:
(x-4)²=9
Problem, solve the equation by factoring and extracting the root
<u>Solution:</u>
Given equation:
(x-4)²=9
subtract 9 from both sides to equate to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
Now, this is similar to the concept of difference of two squares;
x² - y² = <em>(x + y)(x-y)</em>
Here x = x-4 and y = -3
So input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 4+3) = 0
(x -7)(x -1) = 0
S0,
x - 7 = 0 or x-1 = 0
x = 7 or 1
If we extract the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; this is not the only solution to the problem
So we cannot solve it by extracting the square root.
2。the score with respect to par of several golfers that is 2 negtive3 5 0 and negtive1 is ture
