With three people living together, how will the rent and other expenses be split?

Answers

Answer 1

Answer:

Answer:

Everything will be split in threes. You can do this by either multiplying the cost by 1/3 or dividing by 3.

Step-by-step explanation:

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Which sequence of transformations produces an image that is not congruent to the original figure?A. A translation of 3 units to the left followed by a reflection across the x-axis
B. A rotation of 90 clockwise followed by a translation of 6 units to the left
C. A translation of 5 units to the left followed by a dilation of a factor of 2
D. A reflection across the y-axis followed by a rotation of 180counterclockwise

Answers

Answer:

Option C

Step-by-step explanation:

Whenever transformation is done we have either reflection on a given line, or rotation about a fixed point or a dilation by a scale factor

Whenever transformations are reflections over a line, the original figure size will not be altered and hence we have congruent figures.

Similarly for rotations also original figures will not be altered

But whenever a dilaton by a scale factor other than 1 is done, we have either shrink or dilation of original figure.

So there is a chance of getting similar figure but not congruent figure.

So here we find option C is right answer

Option C.

All the other options deal with transformatios that just move the figure without modifying their dimmenssions.

When you dilate a figure you increase the dimmenssions, so the result is a different figure.

The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Find the width and length.

Answers

$w-the\ width\nl-the\ length\n\nw=l-12\n\nthe\ perimeter\ of\ rectangle:P=2(w+l)\ and\ P=156cm\n\n2(w+l)=156\to\ put\ w=l-12\ to\ equation:\n\n2(l-12+l)=156\n2(2l-12)=156\ \ \ \ |divide\ both\ sides\ by\ 2\n2l-12=78\ \ \ \ \ |add\ 12\ to\ both\ sides\n2l=90\ \ \ \ \ |divide\ both\ sides\ by\ 2\nl=45\n\nw=45-12=33\n\nSolution:the\ width\ equal\ 33cm\ and\ the\ length\ equal\ 45cm.$

A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is ? If the player moves the knight from (5, 1) to (6, 3), the translation made is?

Answers

If a player moves a knight from the location (3, 2) to (5, 1) on a chessboard the translation made is 2 squares up, 1 square left.

If the player moves the knight from (5, 1) to (6, 3), the translation made is 2 squares right, 1 square up.

Answer: 1 square down, 2 squares right

2 squares up, 1 square right

Step-by-step explanation:

The answer to the problem 3(6 - 7) + 8 is called a ____________. A). difference. B). product. C). quotient. D). sum

Answers

D.) Sum

even when there is a multiplication the bigger operation is the sum

it sum.because basically you are adding them up

How do I find the vertex of the equation y= (x+7)^2 - 5 ?

Answers

Follow through with the function (x+7)²
(x+7)² is the same as (x+7)(x+7).
You get x² + 14x + 49
Plug it back into the equation to get
y=x² + 14x + 49 - 5, which equals y=x² + 14x + 44
The formula for the x point in the vertex is -b/2a. (a is x² and b is x)
So -14/2 = -7 = x
Plug this into the equation.
y=-7² + 14(-7) + 44
y=49 - 98 + 44
y=-5

(-7, -5)

I apologize for the error beforehand--I typed 49 instead of 44 and ended up with 0 instead of -5.

If you have an equation in the vertex form $y=(x-h)^2+k$ the vertex is $(h,k)$

In your case $h=-7,k=-5$ so the vertex is $(-7,-5)$

1. Select all polynomial expressions that are equivalent to 6x4 + 4x2 – 7x² + 5x + 8.A. 16x10
B. 6x5 + 4x4 – 7x3 + 5x² + 8x
C. 6x4 + 4x3 - 7x2 + 5x + 8
D. 8 + 5x + 7x2 - 4x3 + 6x4
E. 8 + 5x – 7x2 + 4x3 + 6x4

Answers

Answer:

Options (C) and (E)

Step-by-step explanation:

Given polynomial is,

6x⁴+ 4x³- 7x² + 5x + 8

So all the polynomials which are (look alike) similar in terms of degree and number of terms to the given expression will be equivalent.

Option (A).

$16x^(10)$

It's a monomial. So not the answer.

Option (B).

6x⁵ + 4x⁴ - 7x³ + 5x² + 8

This polynomial is a 5th degree polynomial, will not be equivalent to the given polynomial expression with 4 degree.

Option (C).

6x⁴ + 4x³ - 7x² + 5x + 8

All the terms and signs between the terms of this expression are similar to the given polynomial expression,

Expression will be equivalent to the given polynomial expression.

Option (D)

8 + 5x + 7x² - 4x³ + 6x⁴

= 6x⁴- 4x³ + 7x² + 5x + 8

Both are similar in number of terms and degree but signs between the terms are different.

Therefore, both the expressions are will not be equivalent.

Option (E).

8 + 5x - 7x² + 4x³ + 6x⁴

= 6x⁴ + 4x³ - 7x² + 5x + 8

Since, both the polynomials are similar so they are equivalent.

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