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Recently Posted Questions in Mathematics

Match Term Definition Line Segment A) a series of points that extend in two directions without end Plane B) two lines that intersect at 90° angles Perpendicular Lines C) lines that lie in the same plane and do not intersect Line D) a flat surface that extends infinitely and has no thickness Parallel Lines E) part of a line that has two endpoints

The correct matches are as follows:

Line Segment 
E) part of a line that has two endpoints

Plane 
D) a flat surface that extends infinitely and has no thickness

Perpendicular Lines 
B) two lines that intersect at 90° angles

Line 
A) a series of points that extend in two directions without end

Parallel Lines 
C) lines that lie in the same plane and do not intersect

Hope this answers the question. Have a nice day.

What is the solution to the system of equations? y = 1.5x – 4 y = –x a. (–1.6, 1.6) b. (–1.5, 1.5) c. (1.5, –1.5) d. (1.6, –1.6)

I believe the correct answer from the choices listed above is option D. The solution to the system of equations given above would be (1.6, –1.6). We can use the substitution method to solve this. We do as follows:

-x = 1.5x – 4
4 = 2.5x
x = 1.6
y = -x = -1.6

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A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the function that best represents the area of the forest each year and how much area remains after 12 years? Round your answer to the nearest square kilometer. Hint: Use the formula, f(x) = P(1 + r)x

For the answer to the question above, I think the formula you is wrong. The x must be in exponential form. It must look like this

f(x) = P(1 + r)^x
Now we can solve.

Given:
P = 2000
r = -0.06

f(x)  =  2000 (1 - 0.06)^x
       =  2000 (0.94)^x


         
2000 (0.94)¹² = 

2000 (0.476)  = 
The answer is 
951.8 square kilometers.
                   

What step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?

Mmk sweetie, if you have a compass and straightedge, you can totally do this! I'm going to try to talk you through this, it's not too hard: 

1. Take your straightedge (like a ruler or the side of a folder or notebook) and draw five lines on a piece of paper, just make sure none of them aren't the exact same size (not too hard.) 

2. Now you want to make segments the same length as your original lines. This is great, because you have a compass, and compasses are great at keeping the length of things! Open your compass and put the pointy end at one side of your first segment. Now open it until the pencil end is at the other end--you now have the length of your first segment (lock your compass, or be really careful with it to make sure it doesn't change how far open it is.) Next, on your new paper, where you're putting the congruent segments, draw a point. Put the pointy end of your compass on the point, then make a small, curved mark with the pencil side. Take your straight edge, and connect your point to any point on that small, curved line. Do this for all 5 of your lines. 

3. Remember that your compass keeps track of how long something is, so in order to figure out which ones are least (shortest) to greatest (longest) just look at how far you had to open your compass. The one where you had to open it very little is your least, and the one where you opened it very widely is your greatest, the others fall in between. 

4. Okay, this part sounds tricky but really is not. Choose what segment you want to double. Once more, put the pointy end at one point on the compass and open it so that the pencil part goes to the other end, lock your compass. Just like you did before, draw a point, put your pointy end of the compass on that point, now instead of making a small mark like you did before, swing your pencil all the way around your point, you will have created a circle with a radius of your original line. Now, take your straightedge and draw a line connecting one side of the circle to the other side, going through your original point--congratulations! You've just doubled your line segment. 

5. Again, this one sounds harder than it is, and there's probably a lot of ways to do it. Here's how I suggest--First, make a copy of your longest segment in the way described in #3, but draw your line lightly. Second, open your compass to the length of your smallest segment. Now instead of drawing a new line, put the pointy end on ONE point of your COPY of your longest segment, and swing to make a mark on the line you just created. Now, connect your mark from your short segment, to the other end of your longest segment, and voila! You've now created a segment equal to the difference between the two. Hope this helped!

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If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets _____ interest rates to find willing buyers.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets greater than interest rates to find willing buyers.

The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of 7x+3 and another has a degree measure of 3x-6 . Write an expression for the degree measure of the third angle in the triangle.

The sum of the angle measures of any triangle is 180 degrees. It should be that a + b + c = 180. For this problem, we are given the two angles which we assume to be a and b so,

180 = 
7x+3 + 3x-6 + c
c = 180 - (
7x+3 + 3x-6) 
c = 180 - (10x - 3)
c = 177 - 10x

Hope this answers the question. Have a nice day.

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Which of the following statements is true of a reflection? -It is an isometry. -It slides a plane. -The transformation is done over a line of reflection. -It flips a plane about a fixed line. I-t changes the size of the figure being reflected.

I think the correct answers from the choices listed above are the first and the fourth option. The statements that are true about a reflection would be that it  is an isometry and the it flips a plane about a fixed line. reflection over a line k (notation rk) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from line k.

Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply. + 8r2s4 – 3r3s3 s5 3r4s5 –r4s6 –6rs5

Answer:

Option 2,3 and 4 are correct.

Step-by-step explanation:

To find : Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply.

?+8r^2s^4-3r^3s^3

Solution :

The polynomials in standard form is written from higher degree to lower degree i.e. in descending order.

The given polynomial has degree 6: ?+8r^2s^4-3r^3s^3, and it can be ordered respect any of the two variables either r or s.

Adding a new term as first term needs to have degree equal or greater than 6.

1) s^5 cannot use as first term because its degree is less than 6.

2) 3r^4s^5 it can be use as degree is 9.

3r^4s^5+8r^2s^4-3r^3s^3 is the standard form.

3) -r^4s^6 it can be use as degree is 10.

-r^4s^6+8r^2s^4-3r^3s^3 is the standard form.

4) -6rs^5 it can be use as degree is 6.

-6rs^5+8r^2s^4-3r^3s^3 is the standard form.

Therefore, Option 2,3 and 4 are correct.

The product of a + 3 and –2a2 + 15a + 6 is –2a3 + xa2 + 51a + 18. What is the value of x? a. 3 b. 9 c. 12 d. 15

9

Further explanation

Given:

The product of \boxed{ \ a + 3 \ and \ -2a^2 + 15a + 6 \ is \ -2a^3 + xa^2 + 51a + 18. \ }

Question:

What is the value of x?

Problem solving:

We will solve the case about the distributive property of multiplication.

Let's rewrite and arrange the multiplication equation as follows.

\boxed{ \ (a + 3)(-2a^2 + 15a + 6) = -2a^3 + xa^2 + 51a + 18. \ }

Work out the multiplication of terms carefully.

\boxed{ \ a(-2a^2 + 15a + 6) + 3(-2a^2 + 15a + 6) = -2a^3 + xa^2 + 51a + 18. \ }

\boxed{ \ -2a^3 + 15a^2 + 6a -6a^2 + 45a + 18 = -2a^3 + xa^2 + 51a + 18. \ }

\boxed{ \ -2a^3 + 9a^2 + 51a + 18 = -2a^3 + xa^2 + 51a + 18. \ }

Note the coefficient of the term a² on the left-hand side. Let us equate with a similar term on the right side.

\boxed{ \ 9a^2 = xa^2 \ }

Let us cross out a².

Hence, the value of x is 9.

Learn more

  1. Factoring methods brainly.com/question/2568692
  2. Changing the subject in a formula brainly.com/question/291105
  3. All the steps to get R as a subject  brainly.com/question/4703807#

Keywords: the product, the value of x, the distributive property of multiplication, the coefficient of the term a²

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Which ordered pair is a solution of the equation 2x − y = 9 (-4,1) (-2,5) (5,1) (6,-3)

In order to confirm if which ordered pair is a solution of the given equation above, we can just simply plug in the values.
So based on my solution, the correct answer would be the third option: (5,1) 
So let us try to plug in the values.
2(5) - 1 = 9
10 -1 = 9
9 = 9
So this is the correct one. Hope this answers your question.

What is the range of the function f(x) = 3x2 + 6x – 9

I have a solution here however with a slight change in the equation:

 f(x)=3x^2-6x+1

My solution is:

The domain is all real numbers--there are no restrictions like a square root or variable in the denominator 

this is a U shape parabola and you want to find the bottom point, it is at the vertex 

x=-b/2a =- (-6) /2 (3) =1 
f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 
the minimum is (1, -2) 
so the range is all real numbers >= -2

By examining my solution, you could just answer the problem on your own! I hope it helps!

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Find the multiplicative inverse of 6 + 2i.

The solution to the problem is as follows:

First thing to do is get rid of the i. Multiplying by 6 - 2i will do this 

( 6 + 2i)(6 - 2i) = 6^2 - (2i)^2 = 36 - 4(-1) = 36 + 4 = 40 

Dividing by 40 gets you 1 

(6 + 2i) (6-2i)/40 = 1 

The answer is (6 - 2i)/40 = (3 - i)/20

I hope my answer has come to your help. God bless and have a nice day ahead!

The following data values represent a population. What is the variance of the values? 8, 10, 14, 12 A.22 B.11 C.5 D.10

 Variance is calculated by taking the differences between each number in the set and the mean, squaring the differences (to make them positive) and dividing the sum of the squares by the number of values in the set. We do as follows:

Mean = 8+10+14+12 / 4 = 11

Variance = (8-11)^2 + 
(10-11)^2 + (12-11)^2 + (14-11)^2 / 4
Variance = 5 <-------OPTION C

Solve the equation for y 2x+6y=13

So here is how we are going to solve for y for the given equation above:
2x+6y=13
Next, transfer 2x to the right side and it will look like this:
6y=13-2x
Now, divide both sides by 6, and it will look like this:
y=13-2x
    --------
       6
So, this is the final answer for y.
Hope this answers your question. Have a great day!

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Which one is bigger 60% of 90 or 1/2 pa 100?

60% of 90 = 90 * 0.60 = 54
1/2 of 100 = 100/2 = 50

So, as 54 > 50, 60% of 90 > 1/2 of 100

So, your answer is 60% of 90 is bigger!

Hope this helps!

Which of the binomial is a factor of this trinomial x2-7x-44?

I hope this helps you



x^2-7x-44

x -11



x +4



(x-11)(x+4)

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Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15?

Well, we'd want to calculate the price of 1 bagel first.

To see which is better: divide $3.29 by 6 and then divide $4.15 by 8 and see which has the lowest answer.

The first option rounds off to $0.55 for one bagel. The second option rounds off to $0.52 for one bagel.

The second option is the best.

Which is greater one mile or one kilometer?

One mile is greater than one kilometer.

There relation are: 1 M = 1.6 Km

Hope this helps!

Which is a factor of 18?

Factors of 18: 1 2 3 6 9 18

hope this helps you

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What is one fifth of twelve thousands?

Two thousand four hundred