All categories

2 years ago

Which of the following expressions are equivalent to the expression below?

1 answer:

3 0

A: 2-3x

First distribute 8-3(x+2) to get
8-3x-6.

Combine like terms to simplify the equation: 8-6=2

And now the answer is 2-3x

You might be interested in

Suzie solved a linear equation for y. This equivalent equation was her result. y = 7x + 23 Which equations could have been the l

Alika [10]

Answer:

2, 3, 5

Step-by-step explanation:

The question asking for the linear equation Suzie manipulated. The answer should be equal to the starting equation. So, we just need to manipulate the option to y= mx + c format.

1. y + 7x = 23

y= -7x +23 (false)

2. . –7x + y = 23

y= 7x + 23 (true)

3. 2y – 14x = 46

2y= 14x+ 46

y= 7x +23 (true)

4. y – 7x = –23

y= 7x - 23 (false)

5. 7x – y = –23

-y= -7x -23

y= 7x + 23 (true)

6 0

2 years ago

A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

8 0

2 years ago

Which function is equivalent to y=3(x+2)^2+7

Ilia_Sergeevich [38]

3x+45 most u can simplify it

8 0

3 years ago

Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle betwee

Radda [10]

Cosine Law:
c² = a² + b² - 2 a b cos C
Answer:
C ) area of square c² = area of square a² + area of square b²
- area of defect 1 - area of defect 2

3 0

3 years ago

Read 2 more answers

A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. a blue cans is 6 inches tall and burns at a rate of 1/5

Galina-37 [17]

Let t = number of hours

The first candle starts at 8 inches.
It burns at 7/10 inch per hour, so in t hours it burns (7/10)t inches.
After t hours, its length is 8 - (7/10)t

The second candle starts at 6 inches.
It burns at 1/5 inch per hour, so in t hours it burns (1/5)t inches.
After t hours, its length is 6 - (1/5)t

You want the lengths to be equal, so the equation is

8 - (7/10)t = 6 - (1/5)t

4 0

3 years ago