vedanta Excel In Opt. Mathematics - Book 9
8.
Find the locus of a point which moves so that

Its distance from (1, 2) and (2, -3) are equal.​

Answers

Answer 1
(1 ,2) (2,-3)(x1,y1) (x2, y2)

Distance formual

√(x2-x1)^+(y2-y1)^

= √(2-1)^+(-3-2)^= √(1)^+(-5)^ [here square root and square get cancelled]= (1)+(-5)= 1-5= - 4

Related Questions

-6x=48-6y
-4x=50-6y
HELP PLZZZ

Answers

Answer:

[tex]x=1,\\y=9[/tex]

Step-by-step explanation:

When solving a system of equations, one of the faster methods to solve this system is the process of elimination. This process involves manipulating one of the equations (by multiplying it by a certain value), such that when one adds the two equations in the system, one of the variables cancels. One can then solve for the other variable in the system. Then backsolve for the other variable; by substituting the value of the found variable into the system, simplifying and using inverse operations to solve for the other variable.

[tex]-6x=48-6y\\\\-4x=50-6y[/tex]

Manipulate, multiply one of the equations by a certain value such that the coefficient of the like term in the other equation is the additive inverse of it.

[tex](-6x=48-6y)*(-1)\\\\-4x=50-6y[/tex]

Simplify,

[tex]6x=-48+6y\\\\-4x=50-6y[/tex]

Add the equations in the system,

[tex]6x=-48+6y\\\\-4x=50-6y[/tex]

[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]

Simplify,

[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]

[tex]2x=2[/tex]

Inverse operations,

[tex]2x=2[/tex]

[tex]x=1[/tex]

Backsolve to find the value of (y).

[tex]-4x=50-6y[/tex]

[tex]x=1[/tex]

Substitute,

[tex]-4(1)=50-6y[/tex]

Simplify,

[tex]-4=50-6y[/tex]

Inverse operations,

[tex]-4=50-6y[/tex]

[tex]-54=-6y[/tex]

[tex]9=y[/tex]

Someone please help, this is the last question on my assignment, and I really need to get it right! I'll mark brainliest for the best answer ^-^

Answers

Answer:

x + 2

Step-by-step explanation:

im sure its the right answe

PLEASE HELP!!! Urgent. Will mark as brainliest

Answers

Answer:

Step-by-step explanation:

m∠2 =  [tex]\frac{1}{2}[/tex](55+41)

m∠2 =   [tex]\frac{1}{2}[/tex](96)

m∠2 =48°

m∠1 = 180-48 = 132°

Don't squeeze. Fiver shoppers buy Charmain toilet paper. One charmin out of 10 in this batch is defective-its unsqueezable. You want to save every one from this catastrophe, so you stop them at the door and ask to squeeze their charmin. After squeezing 5 rolls, what is the possibility that you have located 1 or more defective charmins? Hint start off with the chance that you squeezed no defective rolls.

Answers

Answer:

The probability of finding aleast one or more defective charmins = 0.40951

Step-by-step explanation:

The probability of not finding a defective charmin = 1

probability of finding defective charmain = 1-0.1 =0.9

The probability of not finding all five defective item =

Then,

probability of not finding all five defective item=0.59049

Thus,

The probability of finding atleast one or more defective chairmins = 1-0.59049

Therefore,

The probability of finding atleast one or more defective chairmins =0.40951

A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 24 years. This is an example of

Answers

Answer:

propbability ???

Step-bp explanation:

Answer:

Step-by-step explanation:

This is an example of a statistical mean.

Which of the following polygons can form a regular tessellation?
O A. Regular hexagon
B. Parallelogram
c. Rectangle
D. Regular pentagon

Answers

Answer:

A

Step-by-step explanation:

A

For 12-15, find the missing measures

Answers

Answer:

12. d= 14, C=14π, A=49π

13. r= 13, d=26, A=169π

14. r=9, C=18π, A=81π

15. r=10, d=20, C=20π

Step-by-step explanation:

the lowest common multiple of two numbers is 91 and the sum of the rwo numbers is 20, what are the two numbers

Answers

Answer:

7 and 13

Step-by-step explanation:

The multiples of 91 are

1, 7, 13, and 91

Only 7 and 13 make 20

Answer:

Explanation

7x13

7x13=91

7+13=20

PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS

Answers

Answer:

$29.69

Step-by-step explanation:

23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)

25.872 * 0.1475 = $3.81612  is the sales tax.

Total is 25.872 + 3.81612  ~ $29.69

Helppppp and explain pls and thankyouuu

Answers

Answer:

x=1

y= -1

z=2

Step-by-step explanation:

x+y+z=2 and x-y-2z=6

if z=2 then

x+y+2=2 and x-y+4=6

and these become

x+y=0 and x-y=2

usign linear cancellation method we get

2x=2

dividing both sides by 2 we get

x=1

then going back to one of the original equations and plugging x=1 and z=2 we get

1+y+2=2

solving for y we get

y= -1

Successive approximation

Answers

what you mean lol word out what u askin for
so there’s not an equation?

cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?

Answers

Answer:

The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]

We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.

Irene made a mistake when she solved this inequality:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1

Between which two consecutive steps did Irene make a mistake?

Answers

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

In the equation 17x2 = 12x, the value of c is:
O 0
O 12
O 17

Answers

The value of c is 0.

By question,

17x² = 12x

or,(17x-12):x=0

or,17x - 12 = 0#

For some tips,

In the equation 17x2 = 12x,Rewrite in factored formMove terms to the left sideCreate separate equations

HENCE PROVED ##

Write the equation of the line (in y = ax+b form) in the
graph below. do not use any spaces when typing your
answer

Answers

Answer:

y=3x-8

Step-by-step explanation:

Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots?

Answers

First, 5 students and 2 teachers is 7 different people. That means there are 7! Ways they can stand in a line. (7! Means 7x6x5x4x3x2x1)
That is 5040 ways.

Having the teachers on either side with the five students in the middle splits the question. There are 2 ways the teachers could stand (TA on left, TB on right or vice versa). There are 5! Ways to arrange the students in the middle. That is, 120. So combined, there are 2x120 ways to have them lined up with the teachers on either side. 240 ways.

Out of the 5040 ways for all of them to line up, one teacher will be in the middle 3 spaces 3/7 of the time. The second teacher will be on one of the remaining 2 central spaces 2/6 (1/3) of the time. 3/7x1/3 = 1/7. That means 1/7 or 14.29% of the time, the two teachers will occupy two of the three middle slots.

What is the square root of 538?

Answers

Answer:

23.1948270095

Step-by-step explanation:

23.1948270095 usually it’s the first 4 digits lol

Can someone please help me! Big ideas 8.4 number 16

Answers

Answer:   24.5

============================================================

Explanation:

It might help to draw it out. See the diagram below.

The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.

Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.

The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.

Now we can find the area of the triangle

area = base*height/2

area = 7*7/2

area = 49/2

area = 24.5 square units

Luego de su cumpleaños, Benjamín ha decidido donar la tercera parte del dinero que recibió de regalo de sus familiares a una fundación. Considerando las variables cantidad de dinero recibido por Benjamín y cantidad de dinero que donará Benjamín. a. ¿Cuál es la variable dependiente en esta situación.

Answers

Answer:

The dependent variable is the amount of money he received for birthday.

Step-by-step explanation:

After his birthday, Benjamin has decided to donate a third of the money he received as a gift from his relatives to a foundation. Considering the variables amount of money received by Benjamin and amount of money that Benjamin will donate. to. What is the dependent variable in this situation.

Here, the money he received for the birthday is x.

So, he donated x/3.

The variable is the money which he gets, so the dependent variable is amount of money he received for the birthday.

PLZ help fast thank you

Answers

Answer:

Step-by-step explanation:

An isosceles triangle is one that has 2 sides that are the same length, like ours here. Because of the Isosceles Triangle Theorem, if 2 side lengths are congruent, then the angles opposite those sides are congruent, as well. That means that both base angles are 53 degrees. However, we are looking for the altitude, or height, of the triangle. That changes everything. Drawing in the height serves to cut the triangle in half, splitting both the vertex angle (the angle at the top of the triangle) and the base exactly in half. Now we have 2 right triangles which are mirror images of each other. We only need concentrate on one of these triangles. What the triangle looks like now:

One base angle is 90 degrees and the other is 53 degrees. By the Triangle Angle-Sum Theorem, the third angle has to be a degree measure which ensures that all the angles add up to 180. Therefore, the third angle measures 180 - 90 - 53 = 37. Even still, besides knowing all the angle measures, we really don't need any besides the 53 degree one.

As far as side lengths go, the base is 12 (because the height cut it in half). To find a missing side in a right triangle you either use Pythagorean's Theorem or right triangle trig, depending upon the info you're given. We only have enough to use right triangle trig.

We have the base angle of 53, which is our reference angle, the side next to, or adjacent to, the reference angle, and we are looking for the side length opposite the reference angle. This is the tan ratio where

[tex]tan\theta=\frac{opp}{adj}[/tex]  where tangent of the reference angle is equal to the side opposite the reference angle over the side adjacent to the reference angle. Filling in that ratio:

[tex]tan53=\frac{opp}{12}[/tex] and multiply both sides by 12 to get

12tan53 = opp and do this on your calculator to get that

opp = 15.9 inches

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Answer:

3/5

Step-by-step explanation:

prependicular / hypotenuse

sin C=ED/CD

=3/5

Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?

Answers

Answer:

10 and 10

Step-by-step explanation:

This is because of the triangle having all sides with the same angle. This is a equilateral triangle

Find the value of the following​

Answers

Answer:

110.01 (aprox)

Step-by-step explanation:

x + (1/x) = 5

x(x + (1/x)) = x(5)

x*x + x*1/x = 5x

x² + 1 = 5x

x² - 5x + 1 = 0

x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)

x = {5±√(25-4)} / 2

x = {5±√21} / 2

x = {5±4.5826} / 2

x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087

x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913

Comprobación:

x₁

0.2087 + 1/0.2087 = 5

0.2087 +  4.7913 = 5

x₂

4.7913 + 1/4.7913 = 5

4.7913 + 0.2087 = 5

Respuesta:

x₁

(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019

x₂

(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01

Find the area of the parallelogram. If necessary, round to the nearest whole number.
6 in
5 in
8 in

Answers

Answer:

40

Step-by-step explanation:

A = base x height

8 is base

5 is height (the height has to be perpendicular to the base. That's what the little square denotes. Along with the angle being 90°.

A = 8 x 5

A = 40

Help please I don’t understand

Answers

Answer:

you need to solve for 'X'

mean 49 = 55 + 42 + 32 +48 + 55 + X

49 = (232+X) / 6

49 * 6 = 232 + X

294 = 232 + X

294 - 232 = X

62 = X

so therefore X is 62

Step-by-step explanation:

please give me a brainliest

all of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5 - 5x, (5-5) x

Answers

Except the last one (5-5)x

what is the maximum value of y=-x^2-x+6 ?

Answers

Answer:

[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]

A water tower casts a 100-foot shadow. At the same time, an 8-foot stri
sign casts a shadow of 6 feet. What is the height of the towers?

Answers

Set up ratios of height / shadow length:

8/6 = x/100

Cross multiply

6x = 800

Divide both sides by 6

X = 133.33 feet

The tower is 133.3 feet

Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select
three options
Olf p = a number is negative and q = the additive inverse is positive, the original statement is p - 9.
Olf p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is
---
Olf p = a number is negative and q = the additive inverse is positive, the converse of the original statement is
-9 - p.
Olf q = a number is negative and p = the additive inverse is positive, the contrapositive of the original
statement is pr9
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement
is 9 - P.
no

Answers

Answer:

1,2.

Step-by-step explanation:

.

i need help in this question that is in the photo

Answers

The answer is A, 1. In the statement x^2 >x, if we try 4, 5 and 8 for x, we get 16, 25 and 64 for x^2. The statement is true. But if we try x = 1, when we square it we still have 1. Therefore for x=1, x^2>x is false.
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