What is the distance, in units, between the points [tex](2, -6)[/tex]and (-4, 3)? Express your answer in simplest radical form.

Answers

Answer 1

Answer: [tex]3\sqrt{13}[/tex]

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}[/tex]

[tex]=3\sqrt{13}[/tex]


Related Questions

I need help answering these two questions

Answers

Answer:

Step-by-step explanation:

1. Area=3b*b=300 inches^2

  3b^2=300

  :3         :3

  b^2=100

 b=V100inches ^2

b=10 inches

2. Area=4b*3b

  so 12b^2=4800

        :12        :12

      b^2=400

     b=V400

    b=20 inches

                             

The pH of 0.0001 M solution of Ca(OH)2 is

Answers

Step-by-step explanation:

Since Ca(OH)2 is Basic, we need to find pOH:

pOH = - log [OH-]

pOH = - log(0.0001)

pOH = - ( - 4)

pOH = 4

Since, pH + pOH = 14

Therefore,

pH of 0.0001M sol. of Ca(OH)2 = 10

The work of a student to solve a set of equations is shown:
Equation A: y = 10 - 22
Equation B: 5y = 2 - 4z
Step 1: -5(y) = -5(10 – 2z) [Equation A is multiplied by -5.]
5y = 2 - 42 [Equation B]
Step 2: _5y = 10-22 [Equation A in Step 1 is simplified.]
5y = 2 - 4z [Equation B]
Step 3:
0 = 12 - 6 [Equations in Step 2 are added.]
Step 4:
z = 12
Step 5:
z = 12
In which step did the student first make an error?

Answers

Answer:

Step 2.

Step-by-step explanation:

Given the two equations,

Equation A: y = 10 - 2z

Equation B: 5y = 2 - 4z solved by a student, we are to determine the step where the student made an error in his/her calculation. Let's follow the steps;

Step 1: multiply equation A by -5. The essence of this is to be able to cancel out one of the variables and calculate for the other variable. On multiplication we have;

y = 10 - 2z × (-5)

5y = 2 - 4z × (1)

_____________________

-5y = -5(10-2z) .... A

5y = 2 - 4z..... B

Step 2: simplify equation A by opening the bracket.

-5y = -5(10)+5(2z)

-5y = -50+10z

The equations become;

-5y = -50+10z .... A

5y = 2 - 4z..... B

It can be seen that her simplified expression does not tally with what we got i.e -5y = -50+10z. This was the step the student made the first error.

Since this student step is wrong, the remaining calculation will be wrong.

Let us fix the calculation steps now.

We will continue from the previous step.

Step3: Add equation A and B in step 2 together.

-5y+5y = (-50+2)+(10z-4z)

0 = -48+6z

Step 4: Add 48 to both sides:

0+48 = -48+6z+48

48 = 0+6z

48 = 6z

Step 5: Divide both sides by 6

48/6 = 6z/6

6 = z

z= 6

Hence, the value of z = 6 not 12 and the student made his/her first error in step 2.

the product 9f 2 numbers is 16/9 . if one number is 5 /2 find the other number​

Answers

Answer:

The answer is 32/45

Step-by-step explanation:

Let the number be x

The product of two numbers is 16/9

That's

x × y = 16/9

One of the numbers is 5/2

That's

y = 5/2

So we have

[tex] \frac{5}{2} x = \frac{16}{9} [/tex]

Multiply through by the LCM

The LCM of 2 and 9 is 18

That's

[tex]18 \times \frac{5}{2} x = \frac{16}{9} \times 18[/tex]

9 × 5x = 16 × 2

45x = 32

Divide both sides by 45

we have the final answer as

[tex]x = \frac{32}{45} [/tex]

Hope this helps you

Need help pls will give you five stars

Answers

Answer:

[tex]\boxed{A. (1,1)}[/tex]

Step-by-step explanation:

Well since in,

[tex]f(x) = -3x^2 + 6x - 2[/tex]

the 3x^2is negative that means the parabola has a maximum not a minimum meaning we can take out choices,

B and D.

To find the maximum let’s graph the given equation,

Look at the image below.

By looking at the image we can tell that the maximum is at (1,1).

So the answer is choice A (1,1)

suppose you are mixing red and blue paint in a bucket. do you think the final color of the mixed paint will be the same whether you add the blue or the red paint first?relate your answer to a property of real numbers

Answers

Answer:

It does not matter which color you add first because either way you will end up with the same color, purple. We can relate this to the commutative property of addition because blue + red = red + blue.

Pls mark it Brainliest!!!

A 10 gram sample of a substance that’s used to detect explosives has a k-value of 0.1356.Find the substances half life in days.Round your answer to the nearest tenth.

Answers

Answer:

t ≈ 5.1 days

Step-by-step explanation:

A 10 gram sample of a substance thats used to detect explosives has a k-value of 0.1356. Find the substances half-life in days. round your answer to the nearest tenth. N=N₀ e^-kt N₀= initial mass (at time t = 0) N = mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t=time in days

The initial condition is that, at time t = 0, the amount of substance contains originally 10 grams

Find the value of N₀

N=N₀ e^-kt

We substitute:

10 = N₀ {e^(-0.1356)*0}

10 = N₀ (e^0)

10=N₀(1)

10=N₀

N₀ = 10

When the substance is in half-life

That is, half of the original substance (5 grams)

Find t

N=N₀ e^-kt

5 = 10 e^(-0.1356*t)

0.5 = e^(-0.1356*t)

Bring down t by multiplying natural log on both sides

ln(0.5) = -0.1356*t

Divide both sides by -0.1356

t = -(ln(0.5) / 0.1356

t ≈ 5.11 days

To the nearest tenth

t ≈ 5.1 days

Answer:

5.1 days in Plato

Step-by-step explanation:

convert American $553 in Nepal rupees​

Answers

Answer:

65,994.52 Nepalese Rupee

Step-by-step explanation:

using conversion rate 1 usd = 119.74 nepalese rupee

553*119.74

Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TP$? Enter the possible values, separated by commas.

Answers

Two answers: 5, 7

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

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

Answer:

So we all cheat AOPS huh

Step-by-step explanation:

Figure p was rotated about the origin (0,0) by 180. Which figure is the image of p?

Answers

Mentally, rotating the Cartesian Plane 180º, we find that the figure that was in the 4th quadrant goes to the 2nd quadrant.

So, answer B

10q-30q is equivalent to

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

10q (1-3)

help me out this is important ot me to get an A

Answers

Answer:

Step-by-step explanation:

4*10^7/6*10^5=6.67, so (B) is the answer.

Answer: Do 4 x 10x10x10x10x10x10x10 do 6x 10x10x10x10x10 once you get those answers you subtract them and that is your answer.

plz help with equation of the circle will award fastest CORRECT answer with brainliest

Answers

Answer:

[tex](x-1)^2+(y-2)^2=6.25[/tex]

Step-by-step explanation:

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

The center is the red dot, which is (1,2). Thus, h=1 and k=2.

To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5[/tex]

Thus, r is 2.5.

Plugging these numbers into the equation, we have:

[tex](x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25[/tex]

10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?

Answers

Answer:

The probability of eating pizza given that a new car is bought is 0.952

Step-by-step explanation:

This kind of problem can be solved using Baye’s theorem of conditional probability.

Let A be the event of eating pizza( same as buying pizza)

while B is the event of buying a new car

P(A) = 34% = 0.34

P(B) = 15% = 15/100 = 0.15

P(B|A) = 42% = 0.42

P(B|A) = P(BnA)/P(A)

0.42 = P(BnA)/0.34

P(B n A) = 0.34 * 0.42 = 0.1428

Now, we want to calculate P(A|B)

Mathematically;

P(A|B = P(A n B)/P(B)

Kindly know that P(A n B) = P(B n A) = 0.1428

So P(A|B) = 0.1428/0.15

P(A|B) = 0.952

Samantha is making salad for a party at her house. In the salad recipe that she is using, it takes 3/4 of a pound of boneless chicken breasts to make 5 portions of the salad. She uses 1 1/5 pounds of chicken for every 3 cherry tomatoes used, and 9 cherry tomatoes for every 2 bags of spinach used. If Samantha is making enough salad to use 4 bags of spinach, how many portions of salad will she make?

Answers

Answer:

48 portions of salad

Step-by-step explanation:

4 bags spinach = 18 cherry tomatoes = 7.2 lb of chicken

7.2/.75 = 9.6 x 5 = 48

Graham uses a hot water bottle on an injury to his back he incurred playing basketball. He fills the bottle with water that is 100°F. After 25 minutes, Graham finds that the bottle has cooled and stops using it. What is the domain and range?

Answers

Answer:

Domain= time

Range= temperature

Step-by-step explanation:

Initially hot water cools down over time.

This can be expressed as a function of a temperature by a time. It takes 25 minutes for water to cooled down from 100°F to body temperature.

For any value of the time (from zero to 25 minutes), the temperature has certain value (from 100°F to body temperature). As time value increases, temperature value decreases accordingly.

In this example, time is the domain and temperature is the range.

convert 28km into cm

Answers

Answer:

28km to cm = 2,800,000cm

Step-by-step explanation:

In order to convert km to cm you have to times it by 100,000

So... 28 x 100,000 = 2,800,000

Hope this helps

Answer:2,800,000cm

Step-by-step explanation:

To convert a larger unit into a smaller unit, you must first check how much does the smaller unit need to make the larger unit. Then multiply the given larger unit to the amount of smaller unit that is equal to 1 of the larger unit.

Because: 100,000cm = 1km

So = 28km×100,000 =2,800,000cm

(x^2-4x)^2+7x^2-28x+12=0

Answers

Answer:

[tex]x^4-9x^2-28x=-12[/tex]

Step-by-step explanation:

[tex](x^2-4x)^2+7x^2-28x+12=0[/tex]

[tex](x^4-16x^2)+7x^2-28x=-12[/tex]

[tex]x^4-9x^2-28x=-12[/tex]

Determine the slope of a line which contains the points (2, 4) and (-6, 9). Write your answer in simplest form.

Answers

Answer:

-5/8

Step-by-step explanation:

(2,4) (-6.9)

m= y2-y1/x2-x1

= 9-4/-6-2

=5/-8

=-5/8

Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 − 12xy − 32y2 = 2(x − 8y)(x + By) −4 −2 2 4

Answers

Answer:

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²=  2*-8y*By

-32y² = -16By²        Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

B = 2

Step-by-step explanation:

2x^2 − 12xy − 32y^2

Factor out a 2

2 ( x^2 -6xy -16y^2)

Factor inside the parentheses

What two numbers multiply to -16 and add to -6

-8 * 2 = -16

-8+2 = -6

2( x-8y) ( x+2y)

B = 2

What is another way to write 100,203 in other forms

Answers

Answer:

You can write in

Step-by-step explanation:

Lakhs

First write 100,203.

Put ones,tens,hundreds,thousands,ten thousands and lakh on top of each number from the extreme left.

This is how you can write 100,203 in another way. You can't write in any other way than this one.

Hope this helps....

Have a nice day!!!!

There are two cameras that take pictures of a traffic intersection. Camera A starts taking pictures at 6 AM and takes a picture every 11 minutes. Camera B starts taking pictures at 7 AM and takes pictures every 7 minutes. Camera A and Camera B take a picture at the same time at four different times before noon. When Camera A and Camera B take their last picture together, how many minutes before noon is it?

Answers

Answer:

41 minutes before noon

Step-by-step explanation:

The given parameters are;

The time camera A starts taking pictures = 6 AM

The frequency of picture taking by camera A = Once every 11 minutes

The time camera B starts taking pictures = 7 AM

The frequency of picture taking by camera B = Once every 7 minutes

The number of times both cameras take a picture at the same time before noon = 4 times

Let the time the two cameras first take a picture the same time be x, we have;

11·y - 60 = x

7·z  = x

Taking the number of times after 7 camera A snaps and noting that the first snap is 6 minutes after 7, we have

11·b + 6  = x

7·z = x

x is a factor of 7 and 11·b + 6 and x is some minutes after 7

By using Excel, to create a series of values for Camera A based,  on 11·b + 6, and dividing the results by 7 we have the factors of 7 at;

28, 105, 182, and 259 minutes after 7

Given that there are 60 minutes in one hour, we have;

259/60 = 4 hours 19 minutes, which is 11:19 a.m. or 41 minutes before noon.

Given only a compass and straightedge, Greeks were able to construct only
regular polygons and circles, thus leaving many constructions impossible to
complete.
A. True
B. False

Answers

Answer: False

A regular heptagon (7-sided figure) cannot be constructed with a compass and straightedge.

In the diagram of the right triangle shown find the value of c.​

Answers

Answer:

Hey there!

20^2+25^2=c^2

400+625=c^2

1025=c^2

Square root 1025 is the correct answer, so option C.

Let me know if this helps :)

Answer: B

Step-by-step explanation:

Which box-and-whisker plot best represents the information from the data?
10 12 15 19 22 22 23 26 30 32​

Answers

The correct answer is d

Porfavor, necesito ayuda con estos ejercicios.

Answers

Lo siento, no hablo español pero utilicé Google Translate .

HAHAHAHAHA

A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?

Answers

Answer:

Each book weighs 1/2 lbs

Step-by-step explanation:

Take the total weight and divide by the number of books

10 lbs/20 books

1/2 lbs per book

Each book weighs 1/2 lbs

Can someone help pls it’s a multiple choice question

Answers

Answer: A & E

Explanation:

What Is the answer to it?

Answers

Answer:

2(x + 10)

Step-by-step explanation:

The sum of x and 10 is x + 10

The product of 2 and x + 10 means multiply them, thus

2 × (x + 10)

= 2(x + 10) ← parenthesis indicates x and 10 are added before being multiplied by 2

Is the given equation a quadratic equation? Explain. x(x−6)=−5

The equation is not a quadratic equation because there is no x2-term.

The equation is a quadratic equation because there is an x2-term.

The equation is not a quadratic equation because the expression is not equal to zero.

The equation is not a quadratic equation because there is a term with degree higher than 2.

I think the answer is A but im not sure.

Answers

Answer:

The equation is a quadratic equation because there is an x2-term.

Step-by-step explanation:

x(x−6)=−5

Distribute

x^2 -6x = -5

The equation is a quadratic equation because there is an x^2-term.

Answer:

Your required answer is option A.

Step-by-step explanation:

Here,

The given equation is;

x(x-6)=-5

now,

while finding x.

either or,

x=-5 (x-6)=-5

x= 1 (shifting-6 in next side)

now, the value of x is -5,1.

so, it's a quadratic equation.

( in quadratic equation the variable always has two values after solution)

Hope it helps..

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