Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0, 15) and B is at (20, 0).

Answers

Answer 1

What is segment ab? is there a picture that is supposed to go with it?

Answer 2

Answer:  The required co-ordinates of point M are (8, 9).

Step-by-step explanation:  Given that the point M divides segment AB into a ratio of 2 : 3, where A is at (0, 15) and B is at (20, 0).

We are to find the co-ordinates of point M.

We know that

the co-ordinates of a point that divides the line segment joining the points (a, b) and (c, d) are given by

[tex]\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).[/tex]

For the given division, (a, b) = (0, 15), (c, d) = (20, 0) and m : n = 2 : 3.

Therefore, the co-ordinates of point M are given by

[tex]\left(\dfrac{2\times20+3\times0}{2+3},\dfrac{2\times0+3\times15}{2+3}\right)\\\\\\=\left(\dfrac{40}{5},\dfrac{45}{5}\right)\\\\\\=\left(8,9).[/tex]

Thus, the required co-ordinates of point M are (8, 9).


Related Questions

How do I solve using quadratic formula?

Answers

Answer:

Step-by-step explanation:

In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing.

My bro is right good job

Sam has 2/3 of a piece of poster board. He cuts the poster board into 6 equal size pieces. What part of the whole poster board is each smaller piece?​

Answers

2/3 divided by 6

2/3 times 1/6

1/9

The length of GJ is 18 inches.

What is the length of GL?


A. 6 in.

B. 9 in.

C. 18 in.

D. 36 in.

Answers

It would B. 9.

Reason to this is because the radius is outlined by line GL. GL is half of the diameter which is GJ.

The answer is B. 9 because GJ is the circumference of the circle and they’re basically asking you to find the radius and the radius is half the circumference and half of 18 is 9 so the answer would be B.

If cos0= -5/13 and sin 0<0, what is tan 0

Answers

Answer:

12/5

Step-by-step explanation:

I doubt that you actually meant If cos0= -5/13 and sin 0<0.  Please use a Greek letter, such as Ф, to represent the angle.

If you'd do this, you'd have:

If cosФ= -5/13 and sin Ф<0

cos Ф and sin Ф are both negative in Quadrant III.

Recall that cos Ф = adj / hyp, and that hyp is always +.  Thus, adj = -5 and hyp = +13.  Using the Pythagorean Theorem to find opp:

opp² + adj² = hyp², or:

opp² = hyp² - adj².  Applying this, we find that opp = -12.

Recall that tan Ф = opp / adj.

Here,

tan Ф = -12 / (-5) = +12/5

Use the substitution method to solve the system of equations 3x+2y=13 y=x-1

Answers

Answer:

b

Step-by-step explanation:

The solution of the equations 3x + 2y = 13 y = x - 1 will be (3, 2). Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equations are given below.

3x + 2y = 13 ...1

y = x - 1 ...2

Then from the equations 1 and 2, we have

3x + 2(x - 1) = 13

        5x - 2 = 13

             5x = 15

               x = 3

Then the value of y will be

y = x - 1

y = 3 - 1

y = 2

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Which represents the solution set of the inequality 5x-9521?

Answers

Answer:

thats just things u needto remember.

Step-by-step explanation:

The expression is not factorable with rational numbers.

5

x

9521

The solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.

What is inequality?

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

Given is to find the solution set of the inequality

5x < 9521

The given inequality is -

5x < 9521

Dividing by {5} on both sides, we get -

(5x/5) < (9521/5)

x < 1904.2

Therefore, the solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.

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A restaurant used 15 pounds of ground beef to make hamburgers for the day. How many burgers did they make if each burger is 6 ounces? (16 ounces = 1 pound) Explain your answer and show all conversions.NEED ANSWERS TODAY BECAUSE IT DUE TOMORROW!!

Answers

They were able to make 40 burgers with it

Answer: 40 hamburgers

Step-by-step explanation:

15 pounds x 16 ounces=240 ounces of hamburger meat

Each burger is 6 ounces 240 divided by 6= 40 hamburgers

Solve for p.

2(p + 1) = 18

Answers

Answer:

p = 8

Step-by-step explanation:

Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.

Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16  = 2(p - 8).

This would leave you with 2= 0, but that's not true so continue on to the variable.

So p - 8= 0 making the answer p = 8

Evaluate 3a2 + 2b when a = -4 and b = 6.

156


48


36


144


60

Answers

156

Explanation:

3 x -4 =-12

-12 x -12 = 144

2 x 6 = 12

12 + 144 =156

Answer:

60

E

Step-by-step explanation:

Givens

a = - 4

b = 6

Formula

3a^2 + 2b

Solution

3(-4)^2 + 2*6

3(16) + 12

48 + 12

Answer: 60

Which is equivalent to (9y2-4x)(9y2+4x) , and what type of special product is it?

Answers

Answer:

81y^4 - 16x^2, difference of squares.

Step-by-step explanation:

So we need to expand the following product:

(9y2-4x)(9y2+4x) = 9y2*9y2 + 4x*9y2 - 4x*9y2 -4x*4x = 81y^4 - 16x^2

And this type of product is the difference of squares.

Answer:

Step-by-step explanation:

The given expression is ( 9y² - 4x) (9y² + 4x)

We will simplify the given expression

(9y² - 4x) (9y² + 4x) = 9y² (9y² + 4x) - 4x (9y² + 4x)  [Distributive property]

= 81y⁴ + 36xy² - 36xy² - 16x²

= (81y⁴ - 16x²)

This simplified form is the difference of squares of terms (9y²) and (4x)

if f(x)=4x+7, which if the following is the inverse of f(x)?

Answers

Answer:f

1/4y +-7/4 is your answer hope this help if it did mark me brainliest

Step-by-step explanation:

Here's an easy one for you! Change £x to pence.

Answers

Answer:

£x = 100x pence

Step-by-step explanation:

£1 = 100 pence

£x = 100x pence

Answer:

100x pence

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

We know that £1 = 100 pence so from this knowledge we can

£x = 100 p

Select the correct product.

(5m 2 - 2m + 1)(3m - 4)

15m3 - 26m2 + 5m - 4
15m3 - 26m2 + 11m - 4
15m3 - 14m2 + 11m + 4
15m3 - 14m2 - 5m - 4

Answers

Answer: 15m3 - 26m2 + 11m - 4

Simplify the variable expression by evaluating it's numerical part m-8+143-5 and how did get m

Answers

m - 8 + 143 - 5

Answer: m + 130

Final answer:

To simplify the expression m - 8 + 143 - 5, combine the numerical parts to get 130, then the simplified expression is m + 130.

Explanation:

To simplify the variable expression m - 8 + 143 - 5, you must combine the numerical parts of the expression and keep the variable part as is. The numerical parts are -8, +143, and -5.

First, simplify the numerical parts by addition and subtraction:
143 - 8 - 5 = 130.

Next, keep the variable m in the expression, so the simplified form of the expression is:

m + 130

This is straightforward numerical evaluation, where units are not involved and thus can be worked out easily without mathematical complexity.

x>y, and the difference between x and y is 5. The number x is 1 more than twice the number y.

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A- 43
B- 48
C- 37
D- 24

Answers

A circle has 360°

Each percent of a circle represents 3.6°

Faucets contributed to 12% of the used water.

12 * 3.6° = 43.2°

A bag of flour weigh 3 lb. If a chef needs 15 lb. of flour, how
many bags of flour should he buy?​

Answers

Answer:

The chef would need 5 bags

Step-by-step explanation:

Because 3 times 5 equals 15

To determine the number of bags of flour the chef should buy, divide the total weight required (15 lb) by the weight of one bag (3 lb), resulting in the need to purchase 5 bags.

To find out how many bags of flour the chef should buy, we need to divide the total weight of flour needed by the weight of one bag. If a bag weighs 3 lb, and the chef needs 15 lb, we calculate it as follows:

Determine the total weight needed: 15 lb.

Determine the weight of one bag: 3 lb.

Divide the total weight by the weight of one bag: 15 lb \/ 3 lb = 5 bags.

Therefore, the chef should buy 5 bags of flour to have a total of 15 lb.

What’s the answe please

Answers

Answer:

C - a line segment and a ray are both two-dimensional. Already has one endpoint and extends and One Direction indefinitely.

Step-by-step explanation:

Well, A ray is and endpoint with an indefinite line coming out of it.

(·--------------------->)

A line segment ends like this:

(·---------------------·)

They are both 2-dimensional. :)

A store donated cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?

Answers

In order to find out the total number of crayons, you multiply the number of cases by the number of boxes per case, and then by the number of crayons per box. Assuming the store donated 5 cases, the daycare center received a total of 960 crayons.

To determine how many crayons the daycare center received from the store, we need to multiply the number of cases the store donated by the number of boxes in each case, and then multiply that by the number of crayons in each box. Let's break it down step by step:

Find the total number of boxes by multiplying the number of cases by the number of boxes in each case.Find the total number of crayons by multiplying the total number of boxes by the number of crayons in each box.

Assuming the store donated 5 cases (the number of cases was not specified in the question, so we need to assume a number for this example), here's how you would calculate it:

Total number of boxes = 5 cases * 24 boxes/case = 120 boxesTotal number of crayons = 120 boxes * 8 crayons/box = 960 crayons

Therefore, the daycare center received a total of 960 crayons.

Y= 10x - 32 what is the x and y value of this equation

Answers

Answer:

[tex]y=10x-32 \\ \\ x=\frac{y}{10}+3.2[/tex]

Step-by-step explanation:

[tex]y=10x-32[/tex]

Because that's the equation given.

To solve for x, isolate the variable and then divide by the coefficient.

[tex]y=10x-32 \\ \\ 10x=y+32 \\ \\ x=\frac{y}{10}+\frac{32}{10} \\ \\ x=\frac{y}{10}+3.2[/tex]

How to find the area of a polygon

Answers

Final answer:

The method of calculating the area of a polygon depends on the type of polygon. Rectangles and triangles have straightforward calculations, however complex polygons might need to be divided into simpler figures. Certain figures such as circles and ellipses have unique formulas.

Explanation:

Calculating the area of a polygon depends on the type of polygon. For simple regular polygons like a rectangle, area can be found by length x width, for triangles it's base x height / 2. In particular complex polygons, the shape might need to be divided into simpler shapes, and the areas calculated separately.

For a circle, the area A = πr², where r is the radius. If you're trying to find the area of an ellipse, it can be calculated by A = πab, with a and b being half the long and short axis respectively.

The process to determine the area of a frequency polygon is little complex. First, the range of each class interval must be determined, and then multiplied by the frequency of that interval, with these values then being added together.

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Final answer:

To find the area of a polygon, you can divide it into smaller shapes with known area and add them up. Alternatively, you can use the formula for the area of a regular polygon.

Explanation:

To find the area of a polygon, you can use different formulas depending on the type of polygon. One general method is to divide the polygon into smaller shapes whose area you know how to calculate, such as triangles or rectangles, and then add up the areas of those shapes. For example, to find the area of a rectangle, you multiply its length by its width.

Another method is to use the formula for the area of a regular polygon, which is given by the formula: Area = 1/2 * ap, where 'a' is the apothem (the distance from the center of the polygon to the middle of one of its sides) and 'p' is the perimeter of the polygon.

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identify the frequency of the graph

Answers

ANSWER

[tex] \frac{1}{2} [/tex]

EXPLANATION

The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]

We can observe explicitly from the graph that the frequency is half.

The period of the given function is 4π

[tex] \frac{2\pi}{b} = 4\pi[/tex]

[tex]b = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]

Hence the frequency is half.

The function below describes the population of caribou in a tundra, where f(t) represents the number of caribou, in hundreds, and t represents the time, in years.

f(t)=1.8(1.2)^t


Initially, the tundra has _____ caribou, and every ____ , the number of caribou increases by a factor of ____ .

Answers

Answer:

  Initially, the tundra has 180 caribou, and every year , the number of caribou increases by a factor of 1.2 .

Step-by-step explanation:

"Initially" generally means "when t=0." Put 0 where t is in the function and evaluate it:

  f(0) = 1.8(1.2)^0 = 1.8(1) = 1.8 . . . . . hundreds

1.8 hundreds is 1.8×100 = 180.

__

t is in years, so the simplest choice for the second blank in the statement is "year".

__

The exponent of 1.2 is t, which means that 1.2 is a factor of the expression the number of times specified by t.

  for t=0, f(0) = 1.8

  for t=1, f(1) = 1.8(1.2)

  for t=2, f(2) = 1.8(1.2)(1.2)

  for t=3, f(3) = 1.8(1.2)(1.2)(1.2)

Perhaps you can see that every year, the number increases by a factor of 1.2.

_____

You could put "3 years" in the second blank, then the third blank would be 1.2³ = 1.728. While correct, it is probably not what is expected by your answer checker.

Answer:

180

1 year

1.2

Step-by-step explanation:

got it correct on edmentum

Back side lateral area and surface area

Answers

7. Find the lateral and surface area.

This is a regular pyramid. A regular pyramid is a right pyramid whose base is a regular polygon and whose apex is directly above the centre of the base. The lateral surface area is the sum of the areas of all the lateral faces while  the surface area is the sum of all the lateral faces plus its base. In this exercise, the base is a square so this is also a square pyramid. Next, we have:

LATERAL SURFACE AREA:

For the lateral sides, we have four identical triangles, so the area of a triangle can be found as:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]

and the lateral surface will be four times this value:

[tex]S_{L}=4A[/tex]

The base of the triangle is the same as the base of the square. So:

[tex]b=9yd[/tex].

On the other hand, the height of the triangle is the slant height of the pyramid, which is:

[tex]h=10yd[/tex]

So the area of a triangle is:

[tex]A=\frac{(9)(10)}{2} \\ \\ A=45yd^2[/tex]

Therefore:

[tex]S_{L}=4(45)\\ \\ \boxed{S_{L}=180yd^2}[/tex]

SURFACE AREA:

The surface area can be found as:

[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]

Calculating the area of the base, which is a square, we have:

[tex]A_{b}=b^2 \\ \\ A_{b}=9^2 \\ \\ A_{b}=81yd^2[/tex]

Therefore:

[tex]S=180+81 \\ \\ \boxed{261yd^2}[/tex]

8. Find the lateral and surface area.

In this case, we have another similar pyramid compared to the previous one, but we are given the height of the pyramid and we'll name it [tex]H[/tex] in capital letter. We know that the area of a triangle is:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]

and the lateral surface will be:

[tex]S_{L}=4A[/tex]

To find [tex]h[/tex], which is the slant height of the pyramid, we need to use the Pythagorean theorem. Next, it is true that:

[tex]h=\sqrt{\left(\frac{b}{2}\right)^2+H^2} \\ \\ b=14 \\ H=12 \\ \\ h=\sqrt{\left(\frac{14}{2}\right)^2+12^2} \therefore h=\sqrt{193}[/tex]

So the area of a triangle is:

[tex]A=\frac{(14)(\sqrt{193})}{2} \\ \\ A=7\sqrt{193}ft^2[/tex]

Therefore:

[tex]S_{L}=4(7\sqrt{193})\\ \\ S_{L}=28\sqrt{193}ft^2 \approx 388.9884[/tex]

Rounding to the nearest tenth:

[tex]\boxed{S_{L}=389.0ft^2}[/tex]

SURFACE AREA:

We know that the surface area can be found as:

[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]

Calculating the area of the base, which is a square, we have:

[tex]A_{b}=b^2 \\ \\ A_{b}=14^2 \\ \\ A_{b}=196ft^2[/tex]

Therefore:

[tex]S=28\sqrt{193}+196 \\ \\ S \approx 584.9884ft^2[/tex]

Rounding to the nearest tenth:

[tex]\boxed{S=585ft^2}[/tex]

9. Lateral surface area.

Here Patrick is making a paper model of castle. He has a net, so he can fold it to build up a pyramid. That's amazing, right? Well, recall that for a pyramid  like that the lateral surface area is the area of the lateral faces, that are all triangles. Thus, for a triangle:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ h: \ slant \ height \ of \ the \ pyramid \\ \\ b: base \ of \ the \ pyramid[/tex]

The slant height of the pyramid is [tex]h=20cm[/tex] because this is the same height of the triangle. On the other hand, the base is [tex]b=15cm[/tex]. So:

[tex]A=\frac{15(20)}{2} \\ \\ h=150cm^2[/tex]

Next the lateral surface area is:

[tex]S_{L}=4(150) \\ \\ \boxed{S_{L}=150cm^2}[/tex]

________________

THE OTHER ANSWERS HAVE BEEN ATTACHED BELOW.

What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y

Answers

Answer: [tex]10x^2+3xy+6x-y^2+3y[/tex]

Step-by-step explanation:

You need to remember the Product of powers property:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

Then, knowing this property, now you have to apply the Distributive property. So:

[tex](2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y[/tex]

Finally, to simplify this expression, you need to add the like terms.

Therefore, you get that the product is:

[tex]=10x^2+3xy+6x-y^2+3y[/tex]

Answer:

10 3 6 -1 3

Step-by-step explanation:

in a 30-60-90 triangle, the length of the side opposite the 30 angle is 8. find the length of the side opposite the 60 angle

Answers

Answer:

[tex]8\sqrt{3}\ units[/tex]

Step-by-step explanation:

Let

x----> the side opposite the 60 angle

Applying the law of sines

[tex]\frac{8}{sin(30)}=\frac{x}{sin(60)}\\ \\x=8*sin(60)/sin(30)\\ \\x=8\sqrt{3}\ units[/tex]

identify the domain and range of the function graphed below

Answers

Answer:

Part 1) The domain is

[tex]x\leq 4[/tex]

All real numbers less than or equal to 4

Part 2) The range is

[tex]y\geq 0[/tex]

All real numbers greater than or equal to 0

Step-by-step explanation:

Part 1) Find the domain

Observing the graph

we know that

The domain is the interval for x ------> (-∞,4]

so

[tex]x\leq 4[/tex]

All real numbers less than or equal to 4

Part 2) Find the range

Observing the graph

we know that

The range is the interval for y ------> [0,∞)

[tex]y\geq 0[/tex]

All real numbers greater than or equal to 0

PLZ HELP IM ON A TIMELINE HURRY

Answers

Answer:

5 x 5, 2 raised to the fifth power, 25

6 x 6 x 6, six cubed, 216

1/5 2, one fifth cubed, 1/5

62, 6 x 6, 36

hope this helped please give me the brainliest answer?

Have a good day ma dude!!! <3

Identify the terms, coefficients, and constants in the expression 3x+10.

Answers

Answer:

Terms (in BOLD) : 3x+10

two terms

Coefficients (in BOLD) : 3x+10

one coefficient

Constants (in BOLD) : 3x+10

one constant

Step-by-step explanation:

Terms are the contents in the equation of such. For example, 10+4n. There are two terms. Coefficients are the number next to a variable. For example, 9x. 9 is the coefficient. Constants are numbers without a variable. Numbers like 7, 8, 9, 10-- they don't have variables so they are constants in an equation. Now, knowing this information lets get to work!

The equation: 3x+10

Terms (in BOLD) : 3x+10

two terms

Coefficients (in BOLD) : 3x+10

one coefficient

Constants (in BOLD) : 3x+10

one constant

Hope this helps!!

-Ketifa

Final answer:

The expression 3x+10 consists of two terms: 3x (with the coefficient 3) and 10 (the constant).

Explanation:

In the expression 3x+10, there are two terms: 3x and 10. The term 3x consists of a variable (x) and a coefficient (3), which is the number multiplying the variable.

The term 10 is a constant because it does not contain any variables and its value does not change. The coefficients in this expression are therefore the number 3, and the constant is 10.

5. Solve the equation. 8/x+3 = 1/x+1

Answers

Answer:

x = -5/7

Step-by-step explanation:

8               1

---------- = ----------

x+3           x+1

Using cross products

8 (x+1) = 1 (x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x-x+3

7x+8 =3

Subtract 8 from each side

7x +8-8 =3-8

7x = -5

Divide each side by 7

7x/7 = -5/7

x = -5/7

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