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3 years ago

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials.

2 answers:

4 0

7b + 3
-4b + 5
-3b + 2

If you add the negatives first by combining like terms, you'll get...

(-4b + 5) + (-3b + 2) = -7b + 7

Then do...

(-7b + 7) + (7b + 3) = 10

The reason is just 10 is because 7 + 3 = 10 and then the negative 7 and the positive 7 will cancel out and make 0b aka just 0 which leaves you with 10 as your answer.

GrogVix [38]3 years ago

3 0

Answer: the correct answer is 10

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Penelope and george go trick or treating. Penelope gets 152 pieces of candy. George gets 124 pieces of candy. Penelope eats 5 pe

kakasveta [241]

Answer:

In 28 days George have the same amount of candy as Penelope.

Step-by-step explanation:

Given:

Penelope has 152 pieces of candy.

George has 124 pieces of candy.

Penelope eats 5 pieces each day.

George eats 4 pieces each day.

To find in how many days will George have the same amount of candy as Penelope.

Solution:

Let the number of days in which George have the same amount of candy as Penelope be = $x$

Using unitary method.

If Penelope eat 5 pieces of candy in 1 day.

In $x$ days, he will eat = $5x$ candies

Thus, after $x$ days number of candies left with Penelope = $152-5x$

If George eat 4 pieces of candy in 1 day.

In $x$ days, he will eat = $4x$ candies

Thus, after $x$ days number of candies left with George = $124-4x$

Since, in $x$ days George have the same amount of candy as Penelope, so we have:

$124-4x=152-5x$

Solving for $x$

Adding $5x$ both sides.

$124-4x+5x=152-5x+5x$

$124+x=152$

Subtracting 124 both sides.

$124-124+x=152-124$

∴ $x=28$

Thus, in 28 days George have the same amount of candy as Penelope.

7 0

4 years ago

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of

NISA [10]

Answer:

We know the volume formula of rectangular prism is:

Volume = Length × Width × Height

We are given:

Volume = 1428 in³

Height = 6 in

Length = 17 in

Width = p

Apply the formula!

1428 = 6 × 17 × p

1428 = 102p

Divide by 102 on either side to isolate p

p = 14

The width is 14 inches

Step-by-step explanation:

4 0

3 years ago

Which number is less than 4.703

UNO [17]

Answer:

anything less than 4.703 like for example: 4.702,1,3.45

Step-by-step explanation:

pls mark me brainliest

6 0

3 years ago

Read 2 more answers

Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the

Troyanec [42]

Answer:

The coordinates of the vertices of the reflected figure are :

R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6) ⇒ the right answer is (d)

Step-by-step explanation:

* When you reflect a point across the line y = x, the x-coordinate

and y-coordinate change their places.

- If the point is (x , y) then its image is (y , x)

* If you reflect over the line y = -x, the x-coordinate and y-coordinate

change their places and their signs

- If the point is (x , y) then its image is (-y , -x)

* Lets study the matrix of the reflection about the line y = x

- The matrix of the reflection about the line y = x is

$\left[\begin{array}{cc}0&1\\1&0\end{array}\right]$

- Because the x-coordinate and y-coordinate change places.

* Now lets solve the problem

- We will multiply the matrix of the reflection about y = x

by each point to find the image of each point

- The dimension of the matrix of the reflection about y = x

is 2×2 and the dimension of the matrix of each point is 2×1,

then the dimension of the matrix of each image is 2×1

∵ The point R is (-2 , 5)

∴ $R'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{cc}-2\\5\end{array}\right]=$

$\left[\begin{array}{c}(0)(-2)+(1)(5)\\(1)(-2)+(0)(5)\end{array}\right]=\left[\begin{array}{c}5\\-2\end{array}\right]$

∴ R' is (5 , -2)

∵ The point S is (5 , 3)

∴ $S'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}5\\3\end{array}\right]=$

$\left[\begin{array}{c}(0)(5)+(1)(3)\\(1)(5)+(0)(3)\end{array}\right]=\left[\begin{array}{c}3\\5\end{array}\right]$

∴ S' is (3 , 5)

∵ The point T is (6 , -7)

∴ $T'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}6\\-7\end{array}\right]=$

$\left[\begin{array}{c}(0)(6)+(1)(-7)\\(1)(6)+(0)(-7)\end{array}\right]=\left[\begin{array}{c}-7\\6\end{array}\right]$

∴ T' is (-7 , 6)

* Lets look to the figures to find the right answer

∵ The R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6)

∴ The right answer is (d)

4 0

3 years ago

Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypoten

valina [46]

Answer:

a is adjacent, b is opposite, c is the hypotenuse

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle XYZ we have

The side a and side b are the legs and the side c is the hypotenuse (the greater side)

The side a is the adjacent side to angle Y and is the opposite side to angle X

The side b is the opposite side to angle Y and is the adjacent side to angle X

The side c is the hypotenuse

The sum of the angles X and Y is equal to 90 degrees because are complementary angles

therefore

a is adjacent, b is opposite, c is the hypotenuse

3 0

3 years ago

Read 2 more answers