Answer:
im pretty sure i got it correct inverse operations since we can say. 2 2 x x. + - = . If we start with x, then add 2 and subtract 2, ... multiplication and division, squares and square roots (for positive numbers), ... The bottom line is obviously false, and so are all of the previous lines. ... 98 x. -. -. = -. 19. 3 5 3 1 x+ - = 20. 2 3 4 7 x - + = 21. (. )3. 1. 1. 8 x-. = 22
Step-by-step explanation:
Answer:
(2,-3)
Step-by-step explanation:
I am not sure if you meant the first equation to be y or -y. I solved it as y.
y = x-5 -x -3y =7
I am going to take the second equation and write it as x =
-x - 3y = 7 Give equation
-x = 3y +7 Add 3y to both sides
x = -3y-7 Multiplied each term in the equation by -1 so that x could be positive
I am going to substitute -3y-7 for x in the first equation up above
y = x - 5
y = -3y -7 - 5 Substitute -3y-7 for x
y = -3y -12 Combined -7-5
4y = -12 Added 3y to both sides
y = -3 Divided both sides by 4.
I now know that y is -3, I will plug that into x = -3y-7 to solve for x
x = -3(-3) -7
x = 9-7 A negative times a negative is a positive
x = 2
The image of (-4, -2) after a reflection over the line y = -x is (2, -4).
<h3>What is a transformation?</h3>
In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.
<h3>The types of transformation.</h3>
Generally, there are different types of transformation and these include the following:
- Reflection
- Rotation
- Translation
- Dilation
<h3>What is a reflection?</h3>
A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:
(-4, 2) → (2, -4).
Read more on transformation here: brainly.com/question/1548871
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(-4)-4 could be some integers to subtract and get -8
Answer:
The integral for the arc of length is:
By using Simpon’s rule we get: 1.5355453
And using technology we get: 2.3020
The approximation is about 33% smaller than the exact result.
Explanation:
The formula for the length of arc of the function f(x) in the interval [a,b] is:
We need the derivative of the function:
And we need it squared:
Then the integral is:
Now, the Simposn’s rule with n=4 is:
In this problem:
So, the Simposn’s rule formula becomes:
Then simplifying a bit:
Then we just do those computations and we finally get the approximation via Simposn's rule:
While when we do the integral by using technology we get: 2.3020.
The approximation with Simpon’s rule is close but about 33% smaller: