MATHEMATICS HIGH SCHOOL

What transformation is represented by the rule
(x,  y)→(−y,  x)

Answers

Answer 1
Answer: x and y are switched and y times -1 so

reflection across the x=y line (identiy line)
and since the x place it times -1, that is a reflection across y axis

so reflection across x=y line and y axis
Answer 2
Answer: it is going from quadrant 1 to quadrant 4.

it is reflected right?

sorry it has been a while since I have done this but I hope it helps :)

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What is the least common multiple of 3 and 8?
cornerstone baker sold 78 pies on monday 96 pies tuesday 104 pies wednesday 40 pies thursday 77 pies friday on average how many pies did they sell per day
A rectangular prism has a surface area of 400 cm 2 . If it is 10 cm long and 10 cm wide, what is its height?4 cm 5 cm 8 cm 40 cm
Sam determines the zeros of the function f(x) to be 8 and 7. What could be Sam’s function?1. f(x) = (x − 8)(x + 7) 2. f(x) = (x − 8)(x − 7) 3. f(x) = (x + 8)(x + 7) 4. f(x) = (x + 8)(x − 7)

a bag contains yellow marbles and blue marbles, 49 in total. the number of yellow marbles is 7 less than 3 times the number of blue marbles. how many yellow marbles are there ?

Answers

In short there are 35 yellow marbles and 14 blue marbles. For a long explanation, lol, keep on reading.


We know there are 49 marbles but we also know that there are only two colors, yellow and blue. So, we can assume that the yellow + blue marbles = 49. I'm going to use Y for yellow and B for blue. I'm going to rewrite the same equation with these variables. Y + B = 49. The problem continues with telling us that the yellow marbles are three times more than the blue ones with seven subtracted from that. I rephrased what they told us for better comprehension. So, we can assume that Y = 3B - 7. I gave Y that equation because of what the problem told us about Y. Continuing on, we know that Y + B = 49 and Y = 3B - 7. With this information, we can substitute Y into the Y + B = 49 equation. We now get, once we substitute Y into that equation, (3B - 7) + B = 49. We can add the B's together and get 4B - 7 = 49. Now, add the 7 and we get 4B = 56. Divide the B by 4 and we get B = 14. So, we now know what B is; we plug into the original equation to find Y. We plug in B = 14 into this equation, Y + B = 49. Once B is plugged in, Y + 14 = 49. Subtract 14 from 49 and we get Y = 35. Hope this helped. Good luck!

Which expression can be used to find the surface area of the following triangular prism? A 16+16+55+55+8816+16+55+55+8816, plus, 16, plus, 55, plus, 55, plus, 88 (Choice B) B 10+10+55+55+8810+10+55+55+8810, plus, 10, plus, 55, plus, 55, plus, 88 (Choice C) C 8 +8+55+55+888+8+55+55+888, plus, 8, plus, 55, plus, 55, plus, 88 (Choice D) D 16+8816+8816, plus, 88

Answers

Answer:

8+8+55+55+88

Step-by-step explanation:

The surface area is the sum of all the sides

We have 5 sides

Top and bottom are the same

The area of the top is

1/2 bh = 1/2 (8)(2) = 8

The left and right sides are the same

The area of the left side is

5*11 = 55

The area of the front is

8*11 = 88

The sum of all the 5 sides are

top + bottom + left + right + front

8+8+55+55+88

Answer:

8 + 8 + 55 + 55 + 88

Step-by-step explanation:

Calculate area of base.

8 × 2 × 1/2 = 8

There are two triangles:

8 + 8

Calculate area of rectangle.

8 × 11 = 88

Calculate the areas of two rectangles.

5 × 11 = 55

55 + 55

           HELP !!!!!!!!!!!!!!!!

Solve by applying the counting principle.

You have 5 shirts and 3 pairs of pants and 4 ties.


How many outfit are possible?

Answers

Well, it depends.
You can only wear 3 outfits unless you wear your pants twice. Then you will have five outfits because ties don't normally get washed til the second time you wear it.

-28=7(x-7) What does x=

Answers

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 45x + 20

Car B
y = 35x + 60

WILL UPVOTE
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

3 hours, 200 miles

3 hours, 180 miles

4 hours, 200 miles

4 hours, 180 miles

Answers

If you would like to find the amount of hours and the distance, you can calculate this using the following steps:

y = y
45x + 20 = 35x + 60
45x - 35x = 60 - 20
10x = 40
x = 40 / 10
x = 4 hours

y = 45x + 20 = 45 * 4 + 20 = 200 miles
y = 35x + 60 = 35 * 4 + 60 = 200 miles

The correct result would be 4 hours, 200 miles.

Answer:

4 hours, 200 miles

Step-by-step explanation:

What is the vertex form of y = x^2 - 20x +15

Answers

so your equation is y = x² - 20x + 15. what you'll want to do is complete the square, so take half of 20 and square it. 20/2 = 10. 10² = 100. add 100 to both sides. and simplify x²-20x+100+15 to (x²-10)²+15. now subtract 100 from both sides to get y alone. this leaves you with y = (x²-10)-85. that's your vertex form.
Given a function:
y=ax²-bx+c
The vertex is: (-b/2a, f(-b/2a)

In this case:
y=x²-20x+15
-b/2a=20/2=10
f(10)=10²-20(10)+15=100-200+15=-85

Answer: The vertex is (10,-85)

Given a vertex (h,k), the vertex form is :
y=a(x-h)²+k

In this case:
(10,-85)
a=1
 
y=(x-10)²-85

Answer: y=(x-10)²-85
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