Find the coordinates of the midpoint of a segment with endpoints A(-3,7) and B(8,-2)

Answers

Answer 1

Answer:

the midpoint is (2.5, 2.5)


Related Questions

Hellllp please asap

Answers

33 would be the correct answer
33 would be the answer

A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.

Answers

Answer:

The yield to maturity is 6.3974%

Step-by-step explanation:

The computation of the yield to maturity is as follows

Given that

NPER = 18 × 2 = 36

PMT = $1,035.25 × 6.50% ÷ 2 = $33.65

PV = $1,035.25

FV = $1,000

The formula is shown below:

=RATE(NPER;PMT;-PV;FV;TYPE)

The present value comes in negative

AFter applying the above formula, the yield to maturity is

= 3.1987% × 2

= 6.3974%

Hence, the yield to maturity is 6.3974%

Given the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩

Answers

Answer:

the third one

Step-by-step explanation:

jsut took it

Answer:

It’s C

Step-by-step explanation:

Write an Equivalent Expression by combining like terms for 2x+3x+y+2y

Answers

Answer:

5x+3y

Step-by-step explanation:

2x+3x=5x since they have the same variable.

y+2y

1y+2y u can put a 1 so that would be 3y

5x+3y

A store is having a sale with a 19% discount on all merchandise. Write an
equation representing between the regular cost of merchandise (r) and
the discount received (d).
Your answer

Answers

Answer:

3

Step-by-step explanation:

PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table. ​

Answers

Answer:

(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)

Step-by-step explanation:

The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).

Answers

Answer: (-2, 2) and (4, 8)

There are two solutions because the two functions cross each other twice.

The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

We have a graphical representation of two functions f(x) and g(x) and where they intersect.

We have to solve the equation f(x) = g(x)

Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?

The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.

In the question given - We have a straight line and a parabola -

Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).

Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

Alternative Method -

The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]

The solution can be calculated by equating both of the above expressions and solving them.

mx + c = [tex]\sqrt{4ax}[/tex]

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1. Explain the difference between circumscribed angles and inscribed angles in relationship to a circle.

2. Explain, in your own words, the steps required to convert any equation of a circle into standard form be completing the square.

3. Explain/define the following terms, or draw a picture and label the terms.
a. radius
b. diameter
c. chord
d. secant
e. tangent
f. point of tangency

Answers

9514 1404 393

Explanation:

1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.

If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)

__

2. The general form of the equation of a circle is ...

  Ax² +Ay² +Dx +Ey +F = 0

Any equation of a circle can be put in this form. If we divide by A, this can be written as ...

  x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A

and the equation can be further transformed to the standard form ...

  (x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c

The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.

__

3. Again refer to the attached diagram.

a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.

b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.

c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.

d) A secant is a line containing two points of the circle. Lines CG and CE are secants.

e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.

f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).

3. Simplify the following inequalities.

Answers

Answer:

7x+7 > 23-x

group like terms

7x+ x > 23-7

8x > 16

we divide both side by

8x > 16

8 8

so 8 cancelled out 8 living

x > 16

8

x > 2

8

we

Help me I’m not sure the answe

Answers

Answer:

i believe it would be the last option.

Step-by-step explanation:

Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?

Answers

Answer:

Jason

Step-by-step explanation:

Answer:

It's Seth

Step-by-step explanation:

HELP!
Mylo started making this graph to relate the number of hours he works with the amount of money he is paid.

A point representing which information could be added to the graph to show a proportional relationship?

A. $16 for working 2 hours
B. $36 for working 4 hours
C. $40 for working 5 hours
D. $58 for working 6 hours

Answers

Answer:

the answer is B. $36 for working 4 hours

Step-by-step explanation:

took the test.

Answer:

B

Step-by-step explanation:

the first person was right i also got it on the test

need help asap
Google maps determines that a destination is 50 miles away and that the average speed of a car in this area is 23.2 miles/hour. How long should Google maps predict it will take you to drive to your destination?

Answers

Answer:

2 hours, 9 minutes (and 19 seconds if u wanna be exact)

Step-by-step explanation:

(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of the number of carp among those 20

Answers

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

You have $500, sale price is $435. How much change will you get

Answers

500-435= 65
I’m sorry if this is wrong it’s two in the morning
I guess this is what college does to u....

Answer:

go to sleep its 11:23 also u will get

$65 dollars pls mark me brainleist

Step-by-step explanation:

What’s the common factor for 72 and 84

Answers

Answer:

Step-by-step explanation:

This is the general method for doing this problem. First factor these numbers into primes.

72: 2 * 2 * 2 * 3 * 3

84: 2*2 * 3 * 7

Now each number has at least two 2s

Each number has at least one          3

The highest common factor is 2 * 2 * 3 = 12

Please someone help me.

Answers

Answer:

Option C is the only correct answer.

Step-by-step explanation:

We can see from the number line that a is to the left of zero, so it is negative. This means option A is incorrect.

Since b is to the left of zero, b is also negative. This means that -b is positive. Since c is to the left of zero, c is negative. Therefore, option B is incorrect: a negative number can never be greater than a positive number.

We see from the number line that a is less than c. Since both a and c are negative, this implies that -a > -c. Therefore, option C is correct.

A barrel of 20 apples has 2 rotten apples and 18 good apples. 7 apples are selected at random from the barrel. What is the expected number of good apples selected

Answers

Answer:

Expected value = 7 x 0.9 = 6.3

Step-by-step explanation:

Probability of getting a good apple is 18/20 = 0.9

Probability of getting a bad apple is 2/20 = 0.1

This follows a binomial distribution because either you get a good apple or a bad apple.

The expected value of a binomial distribution is given as n*p where n is number of trials and p is the probability of success.

In this case our number of trials is 7 and the probability of success is 0.9, since the trials are for getting good apples.

Hence

n = 7

p = 0.9

Expected value = 7 x 0.9 = 6.3

You and your friend play an arcade game. You score 5 points for every 9 points that your friend scores. You score 320 points less than your friend. How many points do you each score?

Answers

Answer:

400 ; 720

Step-by-step explanation:

Given that :

My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.

Let number of shot = x

Also my score x is 320 less than my friend's score

Hence after x shots

My score = friend's score - 320

5x = 9x - 320

5x - 9x = - 320

-4x = - 320

x = 80

Hence ;

My score = 5x = 5* 80 = 400

My &friend's score = 9 * 80 = 720

Ms. cooper goes to Panera Bread for dinner and orders the Green Goddess salad. Her total was $8.79. Ms. cooper gave the cashier $10, how much change did she receive?

Answers

1.21 would be the correct answer

What is the y intercept of y =4x

Answers

Answer:

origin of the graph (0)

Step-by-step explanation:

because it does not have a b value it is zero if there is no plus or minus a number at the end it is always 0 when dealing with the y=mx+b equation

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

2nd

Step-by-step explanation:

The 2nd one is the correct one because it is true and that is the best way to get your solution.

Hope this helps:)

Pls mark brainly

Calculate the value of k for which the polynomial equation f(x)=x^3-kx+12 has the root of x=-4

Answers

If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.

Compute the quotient,

(x³ - kx + 12) / (x + 4)

x³ = x² • x, and

x² (x + 4) = x³ + 4x²

Subtract this from the dividend (f(x)) to get an initial remainder of

(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12

-4x² = -4x • x, and

-4x (x + 4) = -4x² - 16x

Subtract this from the previous remainder to get a new one of

(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12

(16 - k) x = (16 - k) • x, and

(16 - k) (x + 4) = (16 - k) x + 64 - 4k

which gives the next remainder,

((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52

4k - 52 does not divide x, so we're done and what we've shown is

f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)

(just gathering the bold terms above and the last remainder)

The remainder should be 0, so that

4k - 52 = 0

4k = 52

k = 13

expand 2 + 4 how do i do this

Answers

Answer:

6

Step-by-step explanation:

You could expand t to 1+1+1+1+1+1 which would give you 6.

Answer:

2+4=6

Step-by-step explanation:

The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?

Answers

Answer:

D

Step-by-step explanation:

Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative

The function F(x) = -3(x + 3)^2 + 3.

The correct option is (D).

What is a Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.

As per the given data:

We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).

Equation of G(x) = x^2

For a left shift of 3 units x → x + 3.

⇒ y = (x + 3)^2

For a change in concavity, if the curve, multiply by -3.

⇒ y = -3(x + 3)^2

For an up shift of 3 units y → y -3.

⇒ y - 3 = -3(x + 3)^2

The function F(x) comes out to be:

F(x) = -3(x + 3)^2 + 3

Hence, The function F(x) = -3(x + 3)^2 + 3.

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Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?

Answers

Answer:

A. $2.89(m)=$40

B. 13 songs

Step-by-step explanation:

$2.89(m)=$40

m=$40/$2.89

m=13.84

She can download a maximum of 13 songs

Check:

$2.89 (13 songs)=$37.57

$40-$37.57=$2.43 left on her gift card

m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43

Answer:

13 songs

Step-by-step explanation:

40 divided by 2.89 is 13.84. DO NOT ROUND TO 14

So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs

Solve the inequality. 2(4x – 3)-3(3x) + + 5x?​

Answers

Answer:

2 (2 x - 3)

Step-by-step explanation:

Simplify the following:

2 (4 x - 3) - 3×3 x + 5 x

-3×3 = -9:

2 (4 x - 3) + -9 x + 5 x

Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):

2 (4 x - 3) + (5 x - 9 x)

5 x - 9 x = -4 x:

2 (4 x - 3) + -4 x

2 (4 x - 3) = 8 x - 6:

8 x - 6 - 4 x

Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:

(8 x - 4 x) - 6

8 x - 4 x = 4 x:

4 x - 6

Factor 2 out of 4 x - 6:

Answer: 2 (2 x - 3)

Solve the inequality​

Answers

i think it would be x< 3?

20) Solve the problem. Suppose that 12 unique names are put into a hat and drawn at random without
replacement. How many different ways can you draw all of the names from the hat? Remember that
"without replacement" means that the names are not returned to the hat after they are chosen. Write your
answer in factorial notation.
SHOW WORK: None to be shown
A) 12!
B) 11!
C) 10!
D) 12! - 1

Answers

the answer would be A) 12 because there are only twelve names

The number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

Number of unique names = 12

That 12 unique names are put into a hat and drawn at random without

replacement.

"Without replacement" means that the names are not returned to the hat after they are chosen.

Number ways (without replacement) = 12x11x10x9x8x7x6x5x4x3x2x1

Number ways (without replacement) = 12!

Thus, the number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.

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You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour. ​

Answers

Answer:

10.80

Step-by-step explanation:

12% of $9 dollars is $1.08 rounded is 1.080

btw if this was a real job id quit even though im in 6th

The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.

You decide to take a second job that pays $9 dollars an hour.

Taxes are 12% of your earnings, and you are able to save the rest.

Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.

From the data given, we can frame a linear equation in one variable.

987 = 9x - 12% of 9x

987 = 9x - (0.12)(9)x

987 = 9x - 1.08x

7.92x = 987

x = 987/7.92

x = 124.62 ≈ 125 hours

Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

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