Answer:
To find the translation, utilize the coordinates of the provided image along with the corresponding vertices of the object. Once the translation is determined, calculate the coordinates of the other two vertices for the image using the formula IMAGE=OBJECT + TRANSLATION
Response:
Option B.
Step-by-step breakdown:
The general equation for the best fit line is
where a indicates the slope and b the y-intercept.
Utilizing a graphing calculator yields a=-4.54762 and b=43.7143. Hence, the equation for the best fit line can be represented as
Here,
Note: Alternatively, you can apply the following formula to compute the slope.
Accordingly, the correct choice is B.
Using the identity sin(a-b) = sina.cosb - cosa.sinb
, with a set to 70 and b to 10, we find that sin(70-10) equals sin(60) which is √3/2
. Thus, Sin70cos10 - cos70sin10 results in sin60 = √3/2
.
Given parameters:
Equation:
(x-4)²=9
Problem: Solve the equation by both factoring and extracting the square root.
Solution:
Starting equation:
(x-4)²=9
Subtracting 9 from both sides brings us to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
This fits the concept of the difference of squares;
x² - y² = (x + y)(x-y)
Let x = x-4 and y = -3
Then input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 1) = 0
S thus,
x - 7 = 0 or x-1 = 0
x = 7 or 1
<pBy extracting the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; however, this is not the sole solution
Thus, direct extraction of the square root is not the method for complete solutions.
Start with 0. Subtracting three checks of $35 gives 0 - 35 - 35 - 35 = -105. Subtract the $15 overdraft penalty to get -120. So the balance is -$120. hope this helped.
