What is the horizontal distance from the origin to the point (1,4)

Answers

Answer 1

Answer:

given ,

a point , let's say , A( 1 , 4 ) on the cartesion plane.

to find - the horizontal distance of the point from the origin.

[tex]\underline\bold{using \: Distance \: formula \:} \\ \\ d(AO) = \sqrt{( x_{2} - x_{1}) {}^{2} +( y_{2} - y_{1}) {}^{2} } \\ \\ d(AO) = \sqrt{(1 - 0) {}^{2} + (4 - 0) {}^{2} } \\ \\ d(AO) = \sqrt{1 + 4} \\ \\ d(AO) = \sqrt{5} units [/tex]

hope helpful :D


Related Questions

A chocolatier makes chocolate covered cherries in the form of spheres. Amelia
measures the outer diameter of these chocolates to be 2.8 cm. If she measures the
thickness of the chocolate to be 0.5 cm, how much chocolate is used in one of the
chocolate covered cherries? Round your answer to the nearest hundredth if
necessary. (Note: diagram is not drawn to scale.)

Answers

The volume of the chocolate is the amount of choclate used in the cherries

The amount of chocolate used is 17.24 cubic centimeters

How to determine the amoumt of chocolate?

Start by calculating the volume of the cherries using:

V = 4/3 π(D/2)^3

The diameter of the cherry is 2.8 cm.

So, we have:

V = 4/3π(2.8/2)^3

Evaluate

V = 11.49

Next, calculate the volume of the cherry and the chocolate.

V = 4/3π(0.5+2.8/2)^3

V = 28.73

Calculate the difference (d) between both volumes

d = 28.73 - 11.49

d = 17.24

Hence, the amount of chocolate used is 17.24 cubic centimeters

Read more about volumes at:

https://brainly.com/question/10171109

x^3-125=0
what’s the nth root

Answers

Your answer is in the picture below

I found the roots (Zero) and solved for x, this is your answer

Working alone, Mr. Tough can grade the final exams in 12 hours. His assistant, Mrs. Nice, cam grade the same exams in 15 hours. What fraction of the exams can Mr.Tough and Mrs.Nice grade in 1 hour if they work together?

Answers

Answer:

9n/60

Step-by-step explanation:

add 1/12 + 1/15 which = 5/60 + 4/60.

= 9/60

YAY!!!!!!!

The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20

What are fractions?

In Maths, a fraction is used to represent the portion/part of the whole thing. A fraction has two parts, namely numerator and denominator. There are proper fractions, improper fractions and mixed fractions.

Example: 2/5, 1/4 etc.

How to solve Work and Time problems:

We will this equation,

rate × time = work done

For this problem:

             Mr Tough's rate:

                          Mr Tough's rate × 12 hours = final exam

                          Mr Tough's rate = 1/12

             Mrs.Nice's' rate:

                            Mrs .Nice's' rate × 15 hours = final exam

                            Mrs .Nice's' rate = 1/15

To make this into a solvable equation,  find the total time (T) needed for Mr Tough and Mrs.Nice to grade the final exam. This time is the sum of the rates of Mr Tough and Mrs.Nicea, or:

Total time:

T(1/12 hours + 1/15 hours) = final exam

T =  final exam / (1/12 + 1/15)

Simplifying we get,

T =  final exam / (0.15)

Now, to finish in 1 hour we will find what fraction of the final exam they can grade, so taking T = 1 hour,

1 hour =  final exam / (0.15)

By further simplifying,

final exam = 1 × 0.15

                 = 0.15

                 = 15/ 100

                 = 3/20

Therefore, 3/20 fraction of the final exam they can grade if they work together for 1 hour.

Click here for more on work, time and rate problems - brainly.com/question/23849623

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sub : 4x - 3y + 9z from 16x - 12y - 3z.​

Answers

Answer:

12x−9y−12z

Step-by-step explanation:

1. 16x−12y−3z−4x−(−3y)−9z

2. Combine 16x and −4x to get: (12x−12y−3z+3y−9z)

3. Combine −12y and 3y to get: (12x−9y−3z−9z)

4. Combine −3z and −9z to get: (12x−9y−12z)

Answer: 12x−9y−12z Step-by-step

explanation: 1. 16x−12y−3z−4x−(−3y)−9z 2. Combine 16x and −4x to get: (12x−12y−3z+3y−9z)3. Combine −12y and 3y to get: (12x−9y−3z−9z) 4. Combine −3z and −9z to get: (12x−9y−12z)

11 18 The diagram shows an equilateral triangle. All measurements are in cm. NOT TO SCALE 2x+2 3x+4 3 OLTY а The perimeter of the triangle is 57 cm. Find the length of a.​

Answers

I hope I can help you:)

Answer:

a = 7

Step-by-step explanation:

3x + 4 = 57 ÷ 3

3x + 4 = 19

3x = 15

x = 5

2x + 2 =  2(5) + 2 = 10 + 2 = 12

19 - 12 = 7

a = 7

hope this helps!! p.s. i really need brainliest :)

PLEASE HELP I WILL GIVE BRIANLIEST

Answers

Answer:

T. Perimeter

Step-by-step explanation:

Smmy pays $2 73 for each gallon of gas, which table best represents the relationship between the number of gallons
purchased, and the amount he pays for gas?

Answers

Answer:

Label ELabel E

Step-by-step explanation:

Label ELabel ELabel k

What is the product?
48+ 2 K-2
24 2+1
4
O2k+1
2
K-2
2
2641
2
R+2

Answers

Answer:

[tex]\frac{2}{k+2}[/tex]

Step-by-step explanation:

Simplify the expression and you will get this.

hope this helps

please help answer by putting
"question ___ is option ___"

Answers

Answer:

B A C A B

Step-by-step explanation:

i took this test before

what is the awnser to 5+(5x20)x 30

Answers

Answer: 3005

Step-by-step explanation: multiply 5 by 20 and it will give 100 then times 30 Equals 3000 and plus gives 3005 . Please mark brainliest

Answer:3005

Step-by-step explanation :multiply 5 by 20 and it will give 100 then multiply by 30  that Equals 3000 and plus 5 that gives you 3005

what is the area of a 45 degree sector of a circle with a radius of 12 in.

Answers

given ,

a circle of radius 12 inches

and [tex]\theta[/tex] = 45°

now we know that ,

[tex]\\{Area \: of \: sector = \frac{\theta}{360\degree} \times \pi \: r {}^{2} } \\ \\ [/tex]

let's now plug in the values of radius and theta as 12 inches and 45° respectively ,

[tex]\\\dashrightarrow \: \frac{45}{360} \times \frac{22}{7} \times 12 \times 12 \\ \\ \dashrightarrow \: \frac{1}{8} \times \frac{22 \times 12 \times 12}{7} \\ \\ \dashrightarrow \: \frac{22 \times 12 \times 12}{56} \\ \\ \dashrightarrow \: \frac{3168}{56} \\ \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)[/tex]

hope helpful :D

Help help help help math math

Answers

No solution is the answer love

Answer:

No Solution

Step-by-step explanation:

-y = -2x + 8

y = 2x - 8

2x + 8 = 2x - 8

2x - 2x = -8 - 8

0 = -16

No Solution

You can also graph y = 2x + 8 and y = 2x - 8. The slope are the same and so they are parallel

The quotient of a number and three is six
What is the number?

Answers

Answer:

the quotient of 18 and 3 is 6

Step-by-step explanation:

do the inverse and get 6x3=18

What is the answer for this 4² × 4²

Answers

Answer:

4squared is 16 so 16×16=256

hope it help

Answer:

4^2=16 multiplyin 16 by 16 gets you 256

Step-by-step explanation:

The average number of potholes per 10 miles of paved U.S. roads is 130. Assume this variable is approximately normally distributed and has a standard deviation of 5. Find the probability that a randomly selected road has more than 142 potholes per 10 miles

Answers

Answer:

54.03% probability that a randomly selected road has between 128 and 136 potholes per 10 miles.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean  and standard deviation, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Find the probability that a randomly selected road has between 128 and 136 potholes per 10 miles.

This probability is the pvalue of Z when X = 136 subtracted by the pvalue of Z when X = 128. So

X = 136

has a pvalue of 0.8849.

X = 128

has a pvalue of 0.3446.

0.8849 - 0.3446 = 0.5403

54.03% probability that a randomly selected road has between 128 and 136 potholes per 10 miles.

Multiply 2+√10 by its conjugate and simplify.

Answers

[tex]\left(2+\sqrt{10} \right)\left(2-\sqrt{10} \right)\\\\=2^2-\left(\sqrt{10} \right)^2\\\\=4-10\\\\=-6[/tex]

3. Avery records her rock-climbing progress and finds that her altitude, in kilometers above sea
level, can be represented by a linear model, A = 7+ 1.3t, where t is the number of hours since
Avery started climbing.
Based on this model, how many kilometers above sea level was Avery's altitude before she started
climbing?
km

Answers

Using the given linear function, it is found that Avery was 7 kilometers above sea level before she started climbing.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.

In this problem, her altitude in kilometers after t hours is modeled by:

A(t) = 7 + 1.3t.

The y-intercept is of b = 7, which means that Avery was 7 kilometers above sea level before she started climbing.

More can be learned about linear functions at https://brainly.com/question/24808124

The difference between the number of items on two grocery lists is 7. The combined total number of items on the lists is 33.

Answers

Answer:

20 and 13

Step-by-step explanation:

If one list is 'a' and the other one is 'b' then

a-b = 7 and a+b = 33

a-b+a+b = 7+33

2a = 40

a = 20

Now, 20 - b = 7

-b = -13

b = 13

I have attached the questions below please help me

Answers

Answer:

point A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Choose the best answer that represents the property used to rewrite the expression.
log6 20 - log6 x = log6 20/x

Answers

Answer:

㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)Here subtraction of logarithm given. So we have to use the property of logarithm of quotient.The property says that㏒ₐ (M) - ㏒ₐ (N) = ㏒ₐ (M/N)So for subtraction we have to divide them. That is logarithm of difference becomes the quotient.So we can write,㏒₆ (18) - ㏒₆ (6) = ㏒₆ (18/6) If we divide 18 by 6 we will get 3.So, ㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)

Step-by-step explanation:

Answer:Quotient Property

Step-by-step explanation:The property used to rewrite the expression is the quotient rule of logarithms, which states that log_b(x/y) = log_b(x) - log_b(y).

Please help me with this question I am having difficulty with it

Answers

Answer:

The first x=4       y=8

Step-by-step explanation:

2x-5 = y-5

x+1 = y-3

  Multiply the second by -2(to eliminate x)

  2x-5 =y-5

 -2x-2= -2y+6

      ADD BOTH

-7 = -y+1

y=8

            PLUG y

x+1 =y-3

x+1 =8-3

x+1=5

x=4

A rectangle has a perimeter of 20 cm. What will the perimeter be if the rectangle tripled in size?


ITS A VOLUME QUESTION

Answers

Answer:

Step-by-step explanation:

Holding the perimeter fixed, the shape with greatest area is square ( all sides of the same) length) For your name example a square with a perimeter of 20 cm has sides of 5 cm and area of 5 times 4=20 cm) ^3 hope this helps

for each of the figures, write an absolute value equation that has the following solution set 3 and 7

Answers

The solution set 3 and 7 are the true values of the absolute value equation

The absolute value equation that has a solution set of 3 and 7 is [tex]|x - 5| = 2[/tex]

How to determine the absolute value equation?

The solution sets of the absolute value equation are given as:

x = {3, 7}

Calculate the mean of the solutions

[tex]x_1 = \frac{7 +3}{2}[/tex]

[tex]x_1 = 5[/tex]

Calculate the difference of the solutions divided by 2

[tex]x_2 = \frac{7 - 3}{2}[/tex]

[tex]x_2 = 2[/tex]

The absolute value equation is the represented as:

[tex]|x - x_1| - x_2 = 0[/tex]

Substitute known values

[tex]|x - 5| - 2 = 0[/tex]

Add 2 to both sides

[tex]|x - 5| = 2[/tex]

Hence, the absolute value equation that has the a solution set of 3 and 7 is [tex]|x - 5| = 2[/tex]

Read more about absolute value equation at:

https://brainly.com/question/2166748

In your own words, name the two operations used for converting weight measurements, and describe when to use each.

What are the 2 operations that you use to convert weight? I'm confused.
Is it multiplying and dividing?

Answers

Answer:

In physics the standard unit of weight is Newton, and the standard unit of mass is the kilogram. On Earth, a 1 kg object weighs 9.8 N, so to find the weight of an object in N simply multiply the mass by 9.8 N. Or, to find the mass in kg, divide the weight by 9.8 N.Divide the object's weight by the acceleration of gravity to find the mass.

Step-by-step explanation:

this is what i think

Evaluate the following limit, if it exists : limx→0 (12xe^x−12x) / (cos(5x)−1)

Answers

Answer:

[tex]\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}[/tex]

Step-by-step explanation:

Notice that [tex]\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=\frac{12(0)e^{0}-12(0)}{cos(5(0))-1}=\frac{0}{0}[/tex], which is in indeterminate form, so we must use L'Hôpital's rule which states that [tex]\lim_{x \to c} \frac{f(x)}{g(x)}=\lim_{x \to c} \frac{f'(x)}{g'(x)}[/tex]. Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:

[tex]\frac{12xe^x-12x}{cos(5x)-1}\\\\\frac{12xe^x+12e^x-12}{-5sin(5x)}\\ \\\frac{12xe^x+12e^x+12e^x}{-25cos(5x)}[/tex]

Now, plug in the limit and evaluate:

[tex]\frac{12(0)e^{0}+12e^{0}+12e^{0}}{-25cos(5(0))}\\ \\\frac{12+12}{-25cos(0)}\\ \\\frac{24}{-25}\\ \\-\frac{24}{25}[/tex]

Thus, [tex]\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}[/tex]

Solve by completing the square

Answers

Answer:

The answer is (-6 + √41), (-6 – √41)

Step-by-step explanation:

We are given an equation

x² + 12x = 5

Subtract 5 from both side we get,

x² + 12x – 5 = 5 – 5

x² + 12x – 5 = 0

we get the equation in the form of

ax² + bx + c = 0

Here, a = 1, b = 12, c = (-5)

Now, Add and subtract (b/2a)² we get,

x² + 12x + (12/2)² – (12/2)² – 5 = 0

x² + 12x + (6)² – (6)² – 5 = 0

(x + 6)² – 36 – 5 = 0

(x + 6)² – 41 = 0

Now, add 41 both side we get,

(x + 6)² – 41 + 41 = 0 + 41

(x + 6)² = 41

√(x + 6)² = √41

x + 6 = ±√41

x = -6 + √41, -6 – √41

Thus, The roots of the equation is

(-6 + √41) and (-6 – √41).

-TheUnknownScientist 72

what is 2(9p-1/2) equil to?

Answers

Answer:

Step-by-step explanation:

Use distributive property: a*(b - c) = (a*b) -(a*c).

Here, a = 2 ; b = 9p  & c = 1/2

[tex]2*(9p - \dfrac{1}{2})=2*9p-2*\dfrac{1}{2}\\\\\\ = 18p - 1[/tex]

Peyton's family took a road trip to the Grand Canyon. Peyton fell asleep 77% of the way through the trip. If the total length of the trip was 1000 miles, how many miles had they travelled when Peyton fell asleep?

Answers

The miles Peyton's family had travelled when he fell asleep is 770 miles

How many miles had they travelled when Peyton fell asleep?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

Miles when Peyton fell asleep = 77% x 1000 = 770 miles

To learn more about percentages, please check: https://brainly.com/question/25764815

Help picture below problem 13

Answers

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]

Thus the missing side length is 12 cm

Hope that helps!

The number 3 is a common factor of _________.
A) 9 and 15
B) 6 and 10
C) 8 and 12

Answers

Answer:

A) 9 and 15.

Step-by-step explanation:

First, let's see what each number's factor is:

A)

9 : 1, 3 & 9

15 : 1, 3, 5 & 15

B)

6 : 1, 2, 3 & 6

10 : 1, 2, 5 & 10

C)

8 : 1, 2, 4 & 8

12 : 1, 2, 3, 4, 6 & 12

Therefore, The number 3 is a common factor of A) 9 and 15.

___

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