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Nitella [24]
2 years ago
5

The point (x,y) is first rotated 180 degrees clockwise about the origin, translated 6 units to the left, and then reflected acro

ss the line y=x.
Write a function S to represent the sequence of transformations applied to the point(x,y)

Mathematics
2 answers:
dangina [55]2 years ago
6 0

Answer:

Karen needs to take her pet kitten, Scooter, to the vet for a checkup. It's hard to get Scooter into his carrying case for the trip to the vet. He never wants to go! Scooter's carrying case has a rectangular front that is 11 inches wide and 9 inches tall. The case is 16 inches long. What is the volume of Scooter's carrying case?

Step-by-step explanation:

Assoli18 [71]2 years ago
4 0

Answer:

answer below

Step-by-step explanation:

S (x , y) -> S (-x , -y)     rotated 180 degrees clockwise about the origin

(-x , -y) -> (-x - 6 , -y)    translated 6 units to the left

(-x - 6 , -y) -> (-y , -x-6) reflected across the line y=x

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Which of the binomials below is a factor of this
Illusion [34]

Answer:

A

Step-by-step explanation:

Given

x² - 13x + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 13)

The factors are - 3 and - 10, since

- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus

x² - 13x + 30 = (x - 3)(x - 10) ← in factored form

Thus (x - 3) is a factor of the polynomial → A

7 0
3 years ago
Read 2 more answers
I need to know the distance and if your could please tell me the formula for future problems thank you!! ASAP
Ksivusya [100]

Distances in 2- and 3-dimensions (and even higher dimensions) can be found using the Pythagorean theorem. The straight-line distance can be considered to be the hypotenuse of a right triangle whose sides are the horizontal and vertical differences between the coordinates.

Here, you have A = (0, 0) and B = (3, 6). The horizontal distance between the points is ...

... 3 - 0 = 3 . . . . the difference of x-coordinates

The vertical distance between the points is ...

... 6 - 0 = 6 . . . . the difference of y-coordinates

Then the straight-line distance (d) between the points is found from the Pythagorean theorem, which tells you ...

... d² = 3² + 6²

... d = √(9 + 36) = √45 ≈ 6.7 . . . units

8 0
3 years ago
What is the completely factored form of 8 x square minus 50
goblinko [34]
Lets factor first to see if we can make the problem simple
2(4x^2-25)
now we see that in parenthesis we have 2 square numbers
4x^2=(2x)^2
25=(5)^2
our expression is now 
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8 0
3 years ago
Write the equation of the line in the slope intercept form if the line passes through (3,5) and (5,9) show all your work
Feliz [49]

Answer:

slope (m)= y2-y1 /x2 -x1

Step-by-step explanation:

or m= ((9-5)/ (5-3)

or,m= 4/2

or,m =2

4 0
2 years ago
Read 2 more answers
Simplify (12a5−6a−10a3)−(10a−2a5−14a4) . Write the answer in standard form
almond37 [142]

Answer:

=14a^5+14a^4-10a^3-16a

Step-by-step explanation:

\left(12a^5-6a-10a^3\right)-\left(10a-2a^5-14a^4\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12a^5-6a-10a^3-\left(10a-2a^5-14a^4\right)\\-\left(10a-2a^5-14a^4\right):\quad -10a+2a^5+14a^4\\-\left(10a-2a^5-14a^4\right)\\\mathrm{Distribute\:parentheses}\\=-\left(10a\right)-\left(-2a^5\right)-\left(-14a^4\right)\\Apply\:minus-plus\:rules\\-\left(-a\right)=a,\:\:\:-\left(a\right)=-a\\=-10a+2a^5+14a^4\\=12a^5-6a-10a^3-10a+2a^5+14a^4

\mathrm{Simplify}\:12a^5-6a-10a^3-10a+2a^5+14a^4:\quad 14a^5+14a^4-10a^3-16a12a^5-6a-10a^3-10a+2a^5+14a^4\\Group\:like\:terms\\=12a^5+2a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:12a^5+2a^5=14a^5\\=14a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:-6a-10a=-16a\\=14a^5+14a^4-10a^3-16a

4 0
3 years ago
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