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AysviL [449]
3 years ago
9

Antoinette solves the linear equation 3(x-3)+2x+9 - 2x+ 2(x-1) using the steps shown below.

Mathematics
2 answers:
maksim [4K]3 years ago
5 0

Answer:

A. She distributed incorrectly

Step-by-step explanation:

I hate it when the wrong answers get more votes than the the right. This IS the correct answer. I just took it on edge and used someone else's answer and got it wrong. I checked it and it was A the first one.  Therefore, its A.

Oxana [17]3 years ago
4 0

Step-by-step explanation:

3(x - 3) + 2x + 9 - 2x + 2(x - 1)

3x - 9 + 2x + 9 - 2x + 2x - 2

Solving like terms

5x - 2

5x = 2

x = 2/ 5

I think she incorrectly applied the multiplication and division properties of equality

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Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 page
natali 33 [55]

Answer:

y=-55x+570

Step-by-step explanation:

The correct question is

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read.

Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Let

x -----> the time in hours

y ----> the number of pages left to read

we know that

The linear equation in point-slope  form is equal to

y-y1=m(x-x1)

In this problem we have

m=-55\frac{pages}{hour}  ----> is negative because the linear function is decreasing

point\ (4,350)

substitute

y-350=-55(x-4)

y-350=-55x+220

y=-55x+220+350

y=-55x+570

8 0
3 years ago
What is the area of a regular 16-gon with a radius of 15 feet? Round your answer to the nearest tenth.
Sedbober [7]

Split up the 16-gon into 16 congruent isosceles triangles. Cut each of these isosceles triangles in half to get a right triangle.

The radius of the 16-gon corresponds to the hypotenuse of any of these 32 right triangles. As you probably know, the area of a triangle is half the product of its base and height. For a right triangle, the base and height can be taken to be the two legs. So you need to find their lengths.

Recall that the exterior angles of any convex polygon sum to 360º in measure. For a regular polygon, these angles are all congruent. There are 16 of them in this case, so they each have measure (360/16)º = 22.5º.

Interior angles are supplementary to exterior angles, which means each interior angle of the 16-gon has measure (180 - 22.5)º = 157.5º.

When we split up the 16-gon into isosceles triangles, the "base angles" are equal in measure to half the measure of the interior angles, since each hypotenuse bisects the interior angle. So each base angle has measure 78.75º.

In each right triangle, we then have base <em>b</em> and height <em>h</em> such that

sin(78.75º) = <em>h</em>/15

cos(78.75º) = <em>b</em>/15

Solve for <em>h</em> and <em>b</em> to get

<em>b</em> = 15 cos(78.75º)

<em>h</em> = 15 sin(78.75º)

Then the area of each right triangle is

1/2 <em>b h</em> = 225/2 sin(78.75º) cos(78.75º) = 225/4 sin(157.5º)

and so the area of the 16-gon is

32(1/2 <em>b h</em>) = 1800 sin(157.5º) ≈ 688.8 sq. ft.

4 0
3 years ago
What is area of the shaded region in the figure shown?<br> A. 17in<br> B. 29in<br> C. 37<br> D. 70in
pickupchik [31]
Your correct answer is letter D
4 0
2 years ago
Read 2 more answers
Help pls ! i need help please
Nuetrik [128]

Answer:

115 degrees

Step-by-step explanation:

The line RQ meets at 115 degrees (Look at the bottom numbers)

It's not 65 degrees because the angle is obtuse.

6 0
3 years ago
Stocks are units of ownership in a company. The stock market is a place where stocks are bought and sold. When you buy a stock,
SIZIF [17.4K]
The absolute value is three.
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8 0
2 years ago
Read 2 more answers
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