Mathematics College

What is the midpoint between points (15,-1),(9,-5)?

Answers

Answer 1

The midpoint is their average.
.. ((15, -1) +(9, -5))/2 = ((15+9)/2, (-1-5)/2) = (12, -3)

Related Questions

What is the length of a line segment joining the points (5, -1) and (10, -1)

Answers

the two points have the same y value, so it is a horizontal line. Between 5 and 10, the distance is 5.

Answer:

Let A = (5, -1) (x1, y1)

Let B = (10, -1) (x2, y2)

Length AB =

[tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {(10 - 5)}^{2} + {( - 1 + ( - 1))}^{2} } [/tex]

[tex] \\ = \sqrt{ {(5)}^{2} + {( - 2)}^{2} } [/tex]

[tex] = √25 - 4[/tex]

[tex] = √21[/tex]

тнαηк уσυ!

line AB is parallel to line CD and line CD is perpendicular to line EF what can you conclude about AB and EF?

Answers

Since line AB and line CD are parallel, and line EF is perpendicular to line CD, line EF is also perpendicular to line AB.

Answer:
Line AB and line EF are perpendicular.

Hope this helps!

Final answer:

If line AB is parallel to line CD and line CD is perpendicular to line EF, we can conclude that line AB is also perpendicular to line EF.

Explanation:

If line AB is parallel to line CD and line CD is perpendicular to line EF, we can conclude that line AB is also perpendicular to line EF.

The reason for this is that if two lines are parallel to the same line, they are parallel to each other. In this case, we have line AB and line CD both parallel to line EF. Then, because line CD is perpendicular to line EF, line AB must also be perpendicular to line EF.

Adam used the three fractions 3/12, 1/6, and 1/3 to make a circle graph and colored each a different color. What fraction of the graph is not colored? Explain your answer.

Answers

3/12, or 1/4. This is because 1/6=2/12, and 1/3=4/12. 2/12+4/12+3/12=9/12, 12/12-9/12=3/12, and 3/12 simplified is 1/4. Hope that helped!

pls help me on this math question.I am really confused

Answers

Answer:

640 m

Step-by-step explanation:

We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.

The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.

In the additional 2 time units (8 seconds), the ball dropped an additional

... (720 -80) m = 640 m

_____

Alternate solution

You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...

... d = kt²

Filling in the information related to the first 4 seconds, we have ...

... 80 = k(4)²

... 80/16 = k = 5

Then the distance equation becomes ...

... d = 5t²

After 12 seconds (the first 4 plus the next 8), the distance will be ...

... d = 5×12² = 5×144 = 720 . . . meters

That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.

Ethan has a small coin collection. Nine of his coins he collected from traveling. Six of his coins he received from friends. What is the ratio of coins he collected from friends to the total coin in Ethan's collection?

2:3

2:5

9:6

1:5

Answers

The answer is 6:15/ and reduce that to get 2:5

Answer:

2:5!

Step-by-step explanation:

Have a great day!

Find r(t) if r'(t) = 3t2i + 4t3j + t k and r(1) = i + j.

Answers

Final answer:

To find the position vector r(t) given its derivative and an initial condition, we integrate each component of the derivative and apply the initial condition to solve for constants of integration. The final position function is r(t) = t³i + t⁴j + (0.5t² - 0.5)k.

Explanation:

To find r(t) given that r'(t) = 3t²i + 4t³j + tk and r(1) = i + j, we integrate each component of r'(t) with respect to t. The integral of a derivative returns the original function plus a constant of integration, which we can solve using the initial condition provided.

For the i component: ∑ 3t² dt = t³+ C1

For the j component: ∑ 4t³ dt = t⁴ + C2

For the k component: ∑ t dt = 0.5t² + C3

Applying the initial condition r(1) = i + j, we substitute t = 1 into r(t) to solve for the constants of integration:

(1) + C1 = 1, so C1 = 0

(1) + C2 = 1, so C2 = 0

0.5(1) + C3 = 0, so C3 = -0.5

Therefore, the position function r(t) is given by t³i + t⁴j + (0.5t² - 0.5)k.

r(t) = t^3i + t^4j + ((1/2)t^2 - 1/2)k.

To find r(t) given r'(t) = 3t^2i + 4t^3j + tk and r(1) = i + j, we need to integrate r'(t) with respect to t.

Step 1: Integrate each component of r'(t) separately:

∫3t^2 dt = t^3 + C1 (integration with respect to t)

∫4t^3 dt = t^4 + C2 (integration with respect to t)

∫tk dt = (1/2)t^2k + C3 (integration with respect to t)

Step 2: Combine the results to get r(t):

r(t) = (t^3 + C1)i + (t^4 + C2)j + ((1/2)t^2k + C3)

Step 3: Use the given initial condition r(1) = i + j to find the values of the constants C1, C2, and C3:

r(1) = (1^3 + C1)i + (1^4 + C2)j + ((1/2)(1)^2k + C3)

i + j = i + j + (1/2)k + C3

Comparing the coefficients of k, we get:

(1/2) + C3 = 0

C3 = -1/2

Therefore, r(t) = (t^3 + C1)i + (t^4 + C2)j + ((1/2)t^2 - 1/2)k

What will the range for the function f(g)=3g-5 for the domain {-1.5, 2, 4}? Please show your work!

Suppose a van gets 22 mi/gal. The distance traveled D(g) is a function of the gallons used. The rule D(g) = 22g should be used for all parts.

Part A: How far did the van travel if it used 10.5 gallons of gas? PLEASE SHOW YOUR WORK!

Part B: How far did the van travel if it used 20 gallons of gas? PLEASE SHOW YOUR WORK!

Answers

see attached picture for the answers:

Kevin calculated the product of 3.2 × 104 and 3.6 × 102 as 11.52 × 106. Which is the next step that Kevin should apply to his solution?

Answers

Let's rewrite the numbers correctly:
3.2 × 10 ^ 4
3.6 × 10 ^ 2
Now let's do the multiplication step by step:
Step 1:
The step Kevin made:
(3.2 * 3.6) * ((10 ^ 4) * (10 ^ 2))
11.52 * (10 ^ (4 + 2))
11.52 * 10 ^ 6
Step 2:
Rewrite the expression:
11.52 * 1000000
Step 3:
Roll the comma to the right:
11520000
Answer:
the next step that Kevin should apply to his solution is:
Step 2:
Rewrite the expression:
11.52 * 1000000
Step 3:
Roll the comma to the right:
11520000

The next thing Kevin should do is to write the result in standard form

Scientific notations

The standard form of scientific notation is expressed as [tex]A \times 10^n[/tex] where:

A is between 1 and 10n is an integer

Given the product of 3.2 × 10^4 and 3.6 × 10^2 as 11.52 × 10^6, the next thing Kevin should do is to write the result in standard form as shown:

[tex]11.52 \times 10^6 = 1.152 \times 10 \times 10^6\\ 11.52 \times 10^6 = 1.152 \times 10^7[/tex]

Learn more on scientific notation here: https://brainly.com/question/5756316

What is the slope of the line which passes through (4, 5) and (0, 1)?

Undefined

1

0

4

Answers

Answer:
slope = 1

Explanation:
slope is calculated using the following rule:
slope = (y2 - y1) / (x2 - x1)
The given points are (4,5) which represent (x1,y1) and (0,1) which represent (x2 , y2)
Substitute with these points in the above equation to get the slope as follows:
slope = (1-5) / (0-4) = 1

Hope this helps :)

Answer:

Step-by-step explanation:

A gear rotates one degree each second. If it rotates for 2 minutes, how many degrees will it measure

Answers

Asked and answered elsewhere.
https://brainly.com/question/8943668

Find the longer diagonal of a parallelogram having sides of 10 and 15 and an angle measure of 120° between them. 13.2 18.0 21.8 23.1

Answers

we know that
to get the length of the longest diagonal we use the cosine rule which states that----------> c²=a²+b²-2abCos(C)
where a,b and c are the sides and C is the angle.
therefore
a=15,b=10,C=120,c=?
to solve for the length C we shall substitute the values
c²=15²+10²-2*15*10*cos 120
c²=225+100-300*cos120
c²=325-(300*(-0.5))
c²=325-(-150)c²=475
c=√475
c=21.79-------------> c=21.8 units
since this is the opposite side to the largest angle, we therefore conclude that the longer diagonal of the parallelogram is 21.8 units

the answer is 21.8 units

Answer:

21.8

Step-by-step explanation:

javier has 4 juice boxes three are grape flavored write two equivalent fractions thatdescribe the part of the juice boxes that is grape

Answers

(grape boxes)/(juice boxes) = 3/4 = 6/8 = 9/12 = 12/16
= (3x)/(4x) for any non-zero number x

Jayden has been reading a 275275275-page book for English class. On average, he has read about 101010 pages in 151515 minutes (\text{min})(min)left parenthesis, m, i, n, right parenthesis. With a deadline looming, Jayden realizes that he won't finish in time unless he skims through the rest of the book. If he skims the book, he can cover 151515 pages in 10\,\text{min}10min10, space, m, i, n. If it takes Jayden 555 hours and 50\,\text{min}50min50, space, m, i, n to finish the book (reading and skimming combined), how many pages did Jayden have to skim through?

Answers

First let's define variables:
r: reading
s: skimming
We write the system of equations that adapts to the problem:
r + s = 275
(15/10) r + (10/15) s = 355
We solve the system of equations:
r = 206
s = 69
Note: see attached image for system solution.
Answer:
Jayden had to skim 69 pages through

In an isometric transformation, the preimage and image must not __________. A. change size B. rotate C. preserve angle measures D. reflect across the 2004-01-04-01-00_files/i0150000.jpg-axis

Answers

c is the answer hope u have a great day

In an isometric transformation, the preimage and image must not change size. Therefore, the correct option is A.

In an isometric transformation, the preimage and image must not change size. This is because isometric transformations are shape-preserving transformations, meaning they maintain the distances and angles between points in figures. Examples of isometric transformations include rotations, reflections, and translations. During these transformations, the figures remain congruent with one another.Therefore, the correct answer is : A. change size .

What is a sequence? a sequence is an unordered list of numbers. a sequence is an ordered list of numbers. a sequence is the sum of an?

Answers

a sequence is an ordered list of numbers.

use the babylonian method to approximate square root of 24 to the nearest hundredth.

Answers

We will start with our guess of 12, since 12*2 = 24.
Divide 24 by 12; 24/12=2. Average this answer with our guess: (12+2)/2=7. This is our new guess.
24/7=3.428571429. Average this with our guess of 7: (3.428571429+7)/2=5.214285715. This is our new guess.
24/5.214285715=4.602739726. Averaging with our guess: (4.602739726+5.214285715)/2=4.90851272. New guess!
24/4.90851272=4.889464766. Averaging with our guess: (4.889464766+4.90851272)/2=4.898988743. New guess! You can see as we go through our guesses are closer and closer to the same number...)
24/4.898988743=4.898970228. Averaging: (4.898970228+4.898988743)/2=4.898979486. At this point our answer is the same every time down to the hundred-thousandth. Our estimate to the nearest hundredth would be 4.90.

compare:

(a÷b)^2.........a^2/b^2

Answers

They are equal.

(a/b)^2 = (a/b)(a/b) = (a*a)/(b*b) = a^2/b^2

The gemstone shown is a square pyramid that has a base with sides 3.4 inches long. The slant height of the pyramid is 3.8 inches. Find the surface area of the gemstone?

Answers

To find surface area we add up the areas of each face of the pyramid. The area of the square base is given by (3.4)(3.4) = 11.56 in².

To find the area of each triangular face, we first need to find the height of each triangle. We have the slant height and the base. The slant height serves as one of the sides of the triangle. We can draw the height from the top vertex to the base and use the Pythagorean Theorem to find the height. This height we drew splits the base in half, so in our Pythagorean Theorem we have:
(1.7)² + b² = (3.8)²
(The half of the base will be one leg and the slant height is the hypotenuse)
This gives us 2.89 + b² = 14.44
Subtract 2.89 from each side to cancel it:
2.89 + b² - 2.89 = 14.44 - 2.89
b² = 11.55
Take the square root of both sides and we have
b = 3.4
The formula for the area of a triangle is A = (1/2)bh. The base of our triangle is 3.4 and the height we just found is 3.4.
(1/2)(3.4)(3.4) = 5.78
The surface area will be 11.56 + 3.4 + 3.4 + 3.4 + 3.4 (there are 4 triangular faces) or 34.68 in²

what does this expression represent in words 12f+24

Answers

think 12f 24 is a part of an electronic configuration. In atomic physics and quantum chemistry, the electron configuration is the distribution of electrons of an atom or molecule (or other physical structure) in atomic or molecular orbitals. For example, the electron configuration of the neon atom is 1s2 2s2 2p6.

think 12f 24 is a part of an electronic configuration.

It is recommended that one fire extinguisher be available for every 6,000 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 135,000 square feet.

Answers

135,000 divided by 6,000 =x x=22.5 so 23 fire extinguishers are needed in a building with 135,000 square feet

Answer:

[tex]6000x=135000[/tex]

23 fire extinguisher.

Step-by-step explanation:

Let x be the number of fire extinguishers.

We have been given that one fire extinguisher be available for every 6,000 square feet in a building. So the total area covered by x extinguisher will be 6,000x.

Since the building has an area of 135,000 square feet. This means that that total area covered by x extinguisher is 135,000 square feet. We can represent this information in an equation as:

[tex]6000x=135000[/tex]

Therefore, the equation [tex]6000x=135000[/tex] represents the number of fire extinguishers needed for a building that has 135,000 square feet.

Now we will solve for by dividing both sides of our equation by 6000.

[tex]\frac{6000x}{6000}=\frac{135000}{6000}[/tex]

[tex]x=\frac{135}{6}[/tex]

[tex]x=22.5[/tex]

Since we can not have 0.5 of a fire extinguisher, so we will round up our answer as:

[tex]x\approx 23[/tex]

Therefore, 23 fire extinguisher are needed for the building.

consider the quadratic equation x^2=4x-5.How many solutions does the equation have?

Answers

[tex]\bf x^2=4x-5\implies x^2-4x+5=0\\\\ -------------------------------\\\\ \begin{array}{llccll} & 1x^2& -4x& +5&=&0\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \qquad (-4)^2-4(1)(5) \\\\\\ discriminant\implies b^2-4ac= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]

A kite has a perimeter of 70. One of the shorter sides measures 16 centimeters. What are the lengths of the other three sides?

Answers

The sum of a long side and short side will be half the perimeter, so the long side has length (70/2) -16 = 19 cm.

The other three sides are 16 cm, 19 cm, 19 cm.

The function C(x) = 17.5x - 10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.

a. How much cost to buy 10 tickets?
b. How many tickets can you buy with $130?

Answers

a. How much cost to buy 10 tickets?
For this case what you must do is replace the value of x = 10 in the given equation.
We have then:
C (x) = 17.5x - 10
C (10) = 17.5 * (10) - 10
C (10) = 165
Answer:
to buy 10 tickets cost:
$ 165

b. How many tickets can you buy with $ 130?
For this case we must make the substitution: C (x) = 130
We have then:
C (x) = 17.5x - 10
130 = 17.5x - 10
Clearing x we have:
17.5x = 130 + 10
17.5x = 140
x = (140) / (17.5)
x = 8
Answer:
You can buy 8 tickets with $ 130

The cost function is a linear function

The cost of 10 tickets is $165You can buy 8 tickets with $130

The function is given as:

[tex]\mathbf{C(x) = 17.5x - 10}[/tex]

(a) The cost of 10 tickets

This means that: x= 10

So, we have:

[tex]\mathbf{C(x) = 17.5x - 10}[/tex]

[tex]\mathbf{C(10) = 17.5 \times 10 - 10}[/tex]

[tex]\mathbf{C(10) = 175- 10}[/tex]

[tex]\mathbf{C(10) = 165}[/tex]

Hence, the cost of 10 tickets is $165

(b) The number of tickets that costs $130

This means that C(x) = 130

So, we have:

[tex]\mathbf{C(x) = 17.5x - 10}[/tex]

[tex]\mathbf{130 = 17.5x - 10}[/tex]

Add 10 to both sides

[tex]\mathbf{140 = 17.5x}[/tex]

Divide both sides by 17.5

[tex]\mathbf{8 = x}[/tex]

Rewrite as:

[tex]\mathbf{x = 8}[/tex]

Hence, you can buy 8 tickets with $130

Read more about linear functions at:

https://brainly.com/question/20286983

This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.

24.00 ft

30.28 ft

34.28 ft

36.56 ft

HELP ASAP WILL GET BRAINLIEST AND 10 POINTS!! IF CORRECT

Answers

To find the perimeter of this shape, you will need to calculate the distance around the figure. This would include 3 sides and the distance around half the circle. We know the 3 side lengths are 10ft, 10 ft, and 4 ft. To find the distance around half the circle, we need to find the circumference of the circle (distance around the entire circle) and divide it by 2. To find the circumference, use the formula C = pi x diameter. So, 3.14 x 4. This equals 12.56. We will divide this by 2 to get 6.28 ft. So, 10 ft + 10 ft + 4 ft + 6.28 ft = 30.28 ft. The perimeter is 30.28 ft.

Answer:

30.28

Step-by-step explanation:

just did the k12 test so i thought i would help out:)

What is another way that you could show the sum of 2/10 and 10/100

Answers

1.) Simply to 1/5 and 1/10
2.) put in decimal form 1/5= .2 and 1/10 = .1
3.) Add = .3

20/100 + 10/100= 30/100= 3/10

Change 2/10 to 20/100

keep 10/100

add 20/100 + 10/100= 30/100

reduce 30/100 to 3/10

can someone help me with this pls

Answers

The answer is -12
try using demos it helps a lot with number lines and graphs (:

I believe it's -12>x. Hope it helps!

find the surface area of a cube that has edges 4 inches long

Answers

6 * (4 in)^2 = 96 in^2 . . . . area of a 4 inch cube.

factor completely

81x^2-27x-18

Answers

find the greatest common factor which is 9
9(9x^2-3x-2) and then factor the equation in the parenthesis
so the factored equation will be 9(3x+1)(3x-2)

Leo painted for 2/3 of an hour each day on Monday, Tuesday, Thursday and Friday. How long did Leo paint this week

Answers

2/3 times 4/1 is 8/3 or 2 2/3 hours.

Leo painted for 2/3 of an hour each day on Monday, Tuesday, Thurday, and friday. Thus, the total time of the week for which he painted is 1.58% of the total time.

What is a fraction?

A fraction represents a part of a whole number or, more commonly, any number of equal parts. A fraction can be defined as the parts of a certain size, for example, one-half, eight-fifths, three-quarters, etc.

The time for which Leo painted in this week can be calculated as:

Leo painted 2/3 of an hour each day for monday, tuesday, thursday, and friday

Therefore, the time of painting in an hour = 40 minutes

2/3 × 60 = 120/ 3 = 40 minutes = 40 × 4 = 160 minutes

The number of minutes in a day,

1 day = 60 × 24 = 1,440 minutes

The number of minutes in seven days,

7 days = 1440 × 7 = 10,080 minutes

Therefore, the total time for which Leo painted = time for which he painted in minute divided by total time in minutes

Total time for which Leo painted = 160/ 1440 = 0.0158 or 1.58%

Therefore, total time for which he painted in this week is 0.0158 of total time

Learn more about Fraction here:

https://brainly.com/question/10354322

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paul is in charge of the egg toss at the world egg day fair. there are 48 people participating in teams of 8 people. each team needs 1 egg. paul is buying eggs in cartons that each have 6 eggs. how many cartons does paul need?

Answers

Well he should only need one egg carton if each team only needs 1 egg.

Final answer:

Paul needs to buy 1 carton of eggs, as there are 6 teams needing 1 egg each, and one carton contains 6 eggs.

Explanation:

Paul needs to calculate how many cartons of eggs to buy for the egg toss at the world egg day fair.

With 48 people participating in teams of 8, we have a total of 48/8 = 6 teams, and each team needs 1 egg.

Since each carton contains 6 eggs, Paul needs to buy 6/6 = 1 carton to provide one egg for each team.

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