What is the distance from Cto D?
5
4
D(5,3)
3
2
1
5
1 2 3
C(2, -1
-2
3
-4
-5
OA. 5 units
B. 25 units
C. 7 units
D. 1 unit

Answers

Answer 1

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

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

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(3)^2+4^2}[/tex]

On further simplification, we get

[tex]CD=\sqrt{9+16}[/tex]

[tex]CD=\sqrt{25}[/tex]

[tex]CD=5[/tex]

The distance from point C to D is 5 units. Therefore, the correct option is A.


Related Questions

y = one-third (x + 2)

Answers

Answer:

Step-by-step explanation:

according to the question equation is

y=1/3*(x+2)

y=x+2/3

If line segment PB = 12 cm, the area of sector ACB = ? cm2 (rounded
to the nearest cm2).

Answers

Answer:

:)

Step-by-step explanation:

PB , radius = 12cm

[tex]Area = \pi r^2 \frac{\theta}{360}[/tex]

       [tex]= \pi \times 12^2 \times \frac{74}{360}\\\\=92.99 \ cm^2\\= 93 \ cm^2[/tex]

Help please guys thankyouu

Answers

You have the right idea so far, but you forgot to finish it up.

Point slope form is

y - y1 = m(x - x1)

where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then

y - y1 = m(x - x1)

y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers

OR

If you use the point (2,3), then we'd say

y - y1 = m(x - x1)

y - 3 = -1(x - 2) ..... which is another possible answer

There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.

By the way, nice work on getting the correct answer for the slope-intercept form.

Step-by-step explanation:

(0,5)and (2,3)

[tex] m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5[/tex]

Brianliest please~

Mr. Kevin pays $37.95 per month for his cell phone with unlimited minutes. At this rate, what will his cellphone
cost for the year

Answers

$37.95 x12= 455.4 so Kevin’s cellphone will cost 455.4 for the year

Answer:

$455.4 For The Year

Step-by-step explanation:

Kevin  pays $ 37.95 per month for his cell phone with unlimited minutes

First, We know that there are 12 months in 1 year.

Therefore, 1 year = 12 months

The cost per month = $ 37.95

So, have to find the cost for 12 months

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

So your solution to the problem is $455.4 Cost for the year.

Los números 0, 4, -2, -1 ordenados de mayor a menor 4, .1, -.2 ,0 4, 0 -2, -1 .1,.2,0, 4 4, 0, -1, -2

Answers

Answer:

opción D

Step-by-step explanation:

El número más bajo es -2

Número mayor que -2 es -1

Número mayor que -1 es 0

Número mayor que 0 es 4

Entonces, el orden de mayor a menor es 4> 0> -1> -2

Por tanto, la opción D es correcta

Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?

Answers

Answer: A

Step-by-step explanation:

x/32 = 18/13

Find the value of x. Write your answer in simplest form.

Answers

Answer:

X=8

Step-by-step explanation:

[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]

A reindeer runs 2014 miles in 3 hours. At that rate, how many miles does it run in 1 hour?

Answers

Answer:

about 671 miles

Step-by-step explanation:

2014m=3h

2014/3= about 671 miles an hour

Answer:

671.33 repeating

Step-by-step explanation:

2014/3=671.33

Help needed only if you can explain!!

Answers

Answer:

The probability is 1/41664.

To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.

Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.

Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and

Answers

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

[tex]y = -x^2 + 10x - 8[/tex]

Required

The point where the trestle gets to the ground level

To do this, we set [tex]y = 0[/tex]

So, we have:

[tex]-x^2 + 10x - 8 = 0[/tex]

Multiply through by -1

[tex]x^2 -10x + 8 = 0[/tex]

Solve using quadratic formula:

[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 1; b =-10; c = 8[/tex]

So, we have:

[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]

[tex]x= \frac{10 \± 8.25}{2}[/tex]

Solve the fraction

[tex]x= 5 \± 4.125[/tex]

Split

[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]

[tex]x= 9.125\ or\ x= 0.875[/tex]

What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2

a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}




Answers

Answer:

4 is the range of the function

plzz ans quick now plzz plzz plzz

Answers

Rational

OPTION A is the correct answer

Answer:

A is the correct answer! :)

Step-by-step explanation:

have a nice day!~

SOMEBODY PLEASE HELP ME!
9*__=33?

Answers

Answer:

11/3

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:

           

 3 3 ⟌ 9    

Step 2:

The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:

       0    

 3 3 ⟌ 9    

Step 3:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

       0    

 3 3 ⟌ 9    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.

       0    

 3 3 ⟌ 9    

     - 0    

       9    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 9 divided by 33 calculated using Long Division is:

0

9 Remainder

PLS HELP QUICKKK its almost due

Answers

I think its the second one.  I hope it is

Which data set has high consistency and low variability? Why?

Answers

bc it do just bc it do

There are ____ legs for every 4 ears

Answers

There are 4 legs for every 4 ears.

Answer:

there are 8 for any four leg creatures : there are 4 for a human

Step-by-step explanation:

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

Answer:

I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.

Step-by-step explanation:

I hope this helped let me know!

please help calculate

Answers

Step-by-step explanation:

the answer is in the above image

Help plsss!

find the area of the shaded region

Answers

I think it’s about 134.13 ft

to find the circle the formula is pi times the radius squared so:
12.5 x 12.5 = 156.25
156.25 x pi ≈ 490.8738 ft squared

to find the square it’s base x height so:
25 x 25 = 625

then to find the shaded part you just find the difference:
625 - 490.87 = 134.13 ft

why can’t these lines be marked parallel ?

Answers

Because they both have a different degrees.

I hope this helps.

Answer:

there not the same and eqjral

Step-by-step explanation:

y-6=4(x+5) what is y and x intercept?

Answers

Answer:

x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)

Step-by-step explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

[tex](0)-6=4(x+5)[/tex]

Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]

[tex]4(x+5)=(0)-6[/tex]

Subtract 6 from 0.

[tex]4(x+5)=-6[/tex]

Divide each term in [tex]4(x+5)=-6[/tex] by 4.

[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]

Cancel the common factor of 4.

[tex]x+5=\frac{-6}{4}[/tex]

Simplify [tex]\frac{-6}{4}[/tex]

[tex]x+5=-\frac{3}{2}[/tex]

Subtract 5 from both sides of the equation.

[tex]x=-\frac{3}{2} -5[/tex]

To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]

[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]

Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].

[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]

Combine the numerators over the common denominator.

[tex]x=\frac{-3-5*2}{2}[/tex]

Simplify the numerator.

[tex]x=\frac{-13}{2}[/tex]

Move the negative in front of the fraction.

[tex]x=-\frac{13}{2}[/tex]

x = [tex](-\frac{13}{2} ,0)[/tex]

-----------------------------------------------------------------------------------------------------

Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

[tex]y-6=4((0)+5)[/tex]

Add 0 and 5.

[tex]y-6=4 *5[/tex]

Multiply 4 by 5.

[tex]y-6=20[/tex]

Add 6 to both sides of the equation.

[tex]y=20+6[/tex]

Add 20 and 6.

[tex]y=26[/tex]

y = (0, 26)

Please help me i dont understand

Answers

Answer:

Your answer is 15.

Step-by-step explanation:

I've done this before and got it right

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

15^2+8^2=missing side^2

225+64=missing side^2

[tex]\sqrt{289[/tex]=missing side

17=missing side

Does anyone know what this is :

x + 2 = 3

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

x + 2 = 3

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 2 on both sides:                        x = 1

Answer:

X=1

Step-by-step explanation:

x+2=3

PEMDAS= Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

X+2=3

X=3-2

X=1

write the equation y=x-4 in standard form (Ax + By = C)

Answers

Answer:

x - y = 4

Step-by-step explanation:

Given

y = x - 4 ( add 4 to both sides )

y + 4 = x ( subtract y from both sides )

4 = x - y , that is

x - y = 4 ← in standard form

What is the solution to this equation? -12x=8

Answers

Answer:

x = -2/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-12x = 8

Step 2: Solve for x

[Division Property of Equality] Divide -12 on both sides:                               x = 8/-12Simplify:                                                                                                             x = -2/3

Maggie's brother is 7 years younger than twice her age. The sum of their ages is 32.
How old is Maggie?
Maggie is
years old

Answers

Answer:

Let M = Maggie's age

B = Brother's age

Then  M + B = 32

B = 2M - 7        

Then   M + 2M - 7 = 32

3M= 39 = 13

M= 13

Maggie is 13.

Step-by-step explanation:

Brainly?

Find the measure of <AEB for m<BEC = 67°​

Answers

Answer:

option a

hope helps you

have a nice day



Which is the most economic way to lessen electric consumption?

a.Use all appliances which are not so important
b.More appliances will be used for relaxation
c.Use only appliances to the most important task in the house
d.Don’t mind the high bill anyway you have have much money to pay for bill


An electric bill shows a previous reading of 2156kwh and a present reading of 2268kwh How many kilowatt-hour was consumed?

a.102kwh
b.112kwh
c.112kwh
d.122kwh


Compute the electrical consumption of Falogme Family if the present reading in their eletric meter is 5623kwh and the previous reading is 5512kwh

a.110kwh
b.111kwh
c.112kwh
d.121kwh

Answers

Answer:

1) c. Use only appliances to do the most important task in the house.

2) b. 112kwh

3) b. 111kwh

Step-by-step explanation:

Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.

Mathematically, it is given by the formula;

[tex] Energy = power * time [/tex]

Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.

2. Given the following data;

Previous reading = 2156 KWh

Present reading = 2268 KWh

To find how many kilowatt-hour was consumed;

Energy consumption = present reading - previous reading

Energy consumption = 2268 - 2156

Energy consumption = 112 KWh

3. Given the following data;

Previous reading = 5512 KWh

Present reading = 5623 KWh

To find the electrical consumption of Falogme Family;

Electrical consumption = present reading - previous reading

Electrical consumption = 5623 - 5512

Electrical consumption = 111 KWh

In 14b, is 14 the variable, coefficient, term, or product?

Answers

Answer:

Pretty sure its coefficient

Step-by-step explanation:

find the perimeter of the trapezoid

Answers

Answer:

Perimeter you add up all the sides.  If it is a horizontal or vertical line, you just write those values for the side lengths.  For the slanted one, I would use pythagorean theorem to solve it.

Step-by-step explanation:

If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12.  Find the square root of the sum of a squared plus b squared.  That will tell you C.  Then add C to the other 3 sides and that will give you the perimeter.

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