- A grid shows the positions of a subway stop and your house. The subway stop is located at (-3
6), and your house is located at (-7, 2). What is the distance, to the nearest unit, between your
house and the subway stop?
06
09
O 11
O 13

Answers

Answer 1

The distance between your house and the subway stop is 6 units

How to determine the distance?

The coordinates are given as:

Subway = (-3,6)Your house = (-7, 2)

The distance between both points is calculated using:

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

So, we have:

[tex]d = \sqrt{(-7 + 3)^2 + (2 - 6)^2}[/tex]

Evaluate

d = 6 (approximated)

Hence, the distance between your house and the subway stop is 6 units

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Related Questions

How do you solve this using system of equations
y = 3x -1
y = -x +3

Answers

Answer:

1

Step-by-step explanation:

The first equation's y value can be replaced with -x + 3, then solve it:

3x - 1 = -x + 3

3x + x = 3 + 1

4x = 4

x = 4 divided by 4

x = 1

Answer:

Step-by-step explanation:

Find the equation of the circle with center (4,5) which passes through the y-intercept of the line 5x-2y+6=0​

Answers

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

Rearrange the line equation of 5x - 2y + 6 = 0

So y = 5/2x +3

The y-intercept of the line equation is 3 as when x=0, y=3.

We know the Circle has the formula [tex](x-4)^2 + (y-5)^2 = ?^2[/tex] from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:

[tex](0-4)^2 + (3-5)^2 = ?^2[/tex]

This simplifies to:

[tex](-4)^2 +(-2)^2[/tex] = [tex]?^2[/tex]

16 + 4 = 20 = [tex]?^2[/tex]

The answer is 20 so the equation of the circle is [tex](x-4)^2 + (y-5)^2 = 20[/tex]

how many solution does 8m=-48 have​

Answers

Answer:

1 solution

Step-by-step explanation:

8m = - 48 ( divide both sides by 8 )

m = - 6 ← is the only solution

PLEASE HELP!!
How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Answers

Answer: [tex]No~Solution[/tex][tex]s[/tex]

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : [tex]-4x-11=2(x-3x)+13[/tex]

Equations that are never true:

[tex]1.1 ~~~~ Solve : -24 = 0[/tex]

This equation has no solution.

A non-zero constant never equals zero.

Therefore your answer is [tex]No~Solution[/tex]

True or false? if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass

Answers

The statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

What is center of mass?

A place at which the entire mass of a body or all the masses of a system of particles appears to be concentrated is defined as the center of mass of a body or system of particles.

We have statement:

If you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass.

As we know, center of a mass is an object balance point it doesn't need to have equal amounts of mass on both sides of the center of mass.

Thus, the statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

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Enter a range of values for x.
a
a
3x-90 939
26
27
[?]

Answers

Answer:

3<x<34

Step-by-step explanation:

(Big side to big angle)

Solution: 27>26 => 93°>3x - 9°

102°>3x

34>x

HOPE THIS HELPS AND HAVE A NICE DAY <3

Nate has £88.65 to convert into shekalim. the currency exchange he is using charges an 8% fee after the currency conversion has occured. about how many more shekalim will nate receive if he makes his trade on the day with the most favorable exchange rate than if he makes his trade on the day with the least favorable exchange rate? a. ins 41.69 b. ins 38.35 c. ins 31.68 d. ins 6.67

Answers

If he makes his trade on the day with the least favorable exchange rate, the amount received is ins 38.35

How to determine the amount received?

From the complete question, we have the following parameters:

£1= 0.47 --- least favorable rate

Given that the uses a charge of 8%, the amount received when he converts  £88.65 is calculated using:

Amount = Rate * Amount * (1 - 8%)

So, we have:

Amount = 0.47 * 88.65 * (1 - 8%)

Evaluate the product

Amount = 38.33

The closest amount to 38.33 is 38.35.

Hence, the amount received is ins 38.35

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what is 10 x 10 to the power 8

Answers

Your answer is

1,000,000,000 (one billion)

Hope this helps.

PLEASE HELP NEED ASAP.
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])
=
D
E
E
C (7x, -1y)
Distance Formula
d = V(x2 - x2)2 + (y2 - yu)?
B (-2x, -47)

Answers

Answer: 8y

Step-by-step explanation:

Of all the students at a high school, 54% are in band and play sports. 78% of all students at the high school play sports. Find the probability that a student is in band given that the student plays sports. Round your answer to the nearest tenth.

A. 42.1%
B. 6.9%
C. 1.4%
D. 69.2%

Answers

Answer:

A. 42.1%

Step-by-step explanation:

Answer 42.1%
Explaination: yes

3. A bag of
Jelly beans contains 12 red, 17 white and 14 black jelly beans.

b) if 5 jelly beans are chosen at random, determine the probability that 2 will be white and 3 will
be black

Answers

In Total there are 43 jelly beans, which means that will be our denomintor.(sorry if i spelled that wrong)

12/43 are red      17/43 are white        14/43 are black = 43/43

27.9% of 43       +   39.5% of 43       +   32.6% are black = 100%

There is the highest chance that the jelly beans chosen will be white, with black following. 2 white & 3 black would be 5/43 which is 11.6% of the jelly beans in total. Of this chance there is about a 25% chance that white will be chose & 27-30% chance that black will be chosen.

I HOPE THIS HELPS <3!! & good luck.

Need help on math homework

Answers

The answer is 1 because everything is 1

There are 22 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, and Treasurer?

Answers

Answer:

9240

Step-by-step explanation:

22

×

Vice President

21

×

Treasurer

20

Answer:

Step-by-step explanation:

9240

The figure shown is formed by a square and a semicircle. Line segment BC is 4 cm. Find the area of the figure.

Question 5 options:

22.28 cm2

20.56 cm2

32.642

22.542

Answers

Step-by-step explanation:

area of square = 16

area of semi circle =( π/2)*4 = 2π

total area = 22.48cm^2

David has a stack of 30 cards, which are numbered 1 through 30. what is the exact probability of randomly selecting a card from the stack with a number that is even or is less than 10?

Answers

Answer:

1/3 or 1:3

Step-by-step explanation:

since there is a 10/30 chance

to simplify divide by 2

10/30 ÷ 2/2 = 5/15

then divide by 5

5/15 ÷ 5/5 = 1/3

your answer is 1/3

another simple way to simplify

since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value

10/30 simplified/taken away 0s = 1/3

hope this helps:)

please help meeeee what the answer

Answers

Pytago: x^2+x^2=16^2 then solve it, you can find the value of x

1) x2 + 5x + 4 = 0
a =
b=
C =
vb2 - 4ac =
-

Answers

[tex]\text{Compare}~ x^2 +5x +4=0~ \text{with the standard form of quadratic equation}~ \\\\ax^2 +bx +c =0\\\\a=1\\\\b=5\\\\c=4\\\\\sqrt{b^2 -4ac} = \sqrt{5^2 -4 \cdot 1 \cdot 4} = \sqrt{25 -16} = \sqrt{9} =3[/tex]

I need help asap with this problem

Answers

Answer:

  7.07 years

Step-by-step explanation:

The standard deviation of a population is easily calculated by a spreadsheet or calculator. Care must be taken to use the formula for population standard deviation, rather than the formula that assumes the values are a sample.

__

The attached calculator shows the standard deviation is about 7.07 years.

_____

Additional comment

The population standard deviation is the square root of the variance. The variance is the mean of the squares of the values, less the square of the mean of the values. The second attachment shows the calculation done this way.

The units of standard deviation are the same as the units of the members of the population. Here, that is "years."

simplify 3(6-3) -2x2 + 15 /5

Answers

Answer:  [tex]\frac{3(6-3)-2x^{2}+15 }{5} : \frac{-2x^{2}+24 }{5}[/tex]


You're welcome.

Please help me with this (20 points)



Answers

Answer:

x³-2x²-22x-21

Step-by-step explanation:

(x+3) (x²-5x-7)

x³-5x²-7x+3x²-15x-21

x³-2x²-22x-21

[tex]Answer☘️[/tex]

[tex]\large{\underline{ \boxed{ \sf{✰\:Important\:points }}}}[/tex]

[tex]\pink {\underline{ \boxed{ \sf{»\:distributive\:property }}}}[/tex]

⇝A property of functions that have a rule describing how the function can be performed to the individual components of another operation.

⇝If the operation ★ is distributive with respect to the operation °, then a★(b°c)=(a★b)°(a★c).

[tex] \sf➛(x + 3)( {x}^{2} - 5x - 7) \\[/tex]

[tex]\\ \sf \:➛ distributing \: x \: with \: ( {x}^{2} - 5x - 7) \\ \sf \: then \\ \sf \:➛ 3 \: with \: ({x}^{2} - 5x - 7)[/tex]

[tex] \sf \: ➛gives \\ \sf \: ➛{x}^{3} - 5 {x}^{2} - 7x + 3{x}^{2} - 15x - 21 \\ [/tex]

Now arranging termsthen adding nd subtracting like terms gives you:-

[tex] \sf➛{x}^{3} + 2 {x}^{2} - 22x - 21[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Option\:D✓ }}}[/tex]

Hope it helps ~

How many different 4-question geometry quizzes can a teacher make if there are 7 different problems to test on?.

Answers

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula [tex]\displaystyle nCr=\frac{n!}{r!(n-r)!}[/tex] which describes the number of ways we can choose [tex]r[/tex] objects given [tex]n[/tex] possible choices. So, if [tex]n=7[/tex] and [tex]r=4[/tex], then:

[tex]_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35[/tex]

Hence, the teacher can make 35 different geometry quizzes.

Please Answer This Ixl Asap!!!

Answers

Answer:

EH = 120 degrees

Step-by-step explanation:

angles in a circle add up to 360 degrees

arc EF + arc FG + arc GH + arch EH = 360

95 + 90 + 55 + EH = 360

240 + EH = 360

subtract 240 from both sides to isolate EH

EH = 120 degrees

Explanation would be appreciated but not needed.​

Answers

Perimeter is the outline of a closed shape.you calculate perimeter by adding the lengths of all the sides.


A a right triangle has a hypotenuse length of 21 meters. It has
one leg with a length of 15 meters. What is the length of the other leg?
Express your answer as a square root.

Answers

Answer:

√216 meters

Step-by-step explanation:

» Concepts

The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the length of the hypotenuse squared. It's represented as an equation of a² + b² = c², where a & b are the legs, and c is the hypotenuse

» Application

To find the length of the other leg, we have to plug in the values of b and c into the equation. B would be 15 meters, and c would 21 meters.

» Solution

Step 1: Simplify both sides of the equation.

[tex]a^2+15^2+21^2[/tex] [tex]a^2+225=441[/tex]

Step 2: Subtract 225 from both sides.

[tex]a^2+225-225=441-225[/tex] [tex]a^2=216[/tex]

Step 3: Take square root of both sides.

[tex]\sqrt{a^2} = \sqrt{216}[/tex] [tex]a = \sqrt{216}[/tex]

Therefore, the length of the other leg is √216 meters.

A(x) = x( 48 - x)
When is A(x) at its maximum?
Explain or show how you know.

Answers

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

48 - 2X = 0, => X = 24

If u want u can answer 26 and 27 but if not just answer 26

Answers

26 is c

Step-by-step explanation:

Answer:

26 is Clay types 2 more words per minute than marsha. (c)

Step-by-step
if you study the number line correctly than you will find out your answer to number 26

Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability. Round to the nearest tenth of a percent, if necessary. 16. drawing a card from a standard deck and choosing a 7 or a 9.

Answers

The events are mutually exclusive and the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

How to determine the probability?

The given parameters are:

Standard deck = 52

n(7) = n(9) = 4

The probability of choosing a 7 or a 9 is calculated as:

P(7 or 9) = P(7) + P(9)

So, we have:

P(7 or 9) = 4/52 + 4/52

Evaluate

P(7 or 9) = 8/52

Simplify

P(7 or 9) = 2/13

Hence, the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

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I'm a little stuck on these problems!
100 points!!!

Answers

Answer:

coordinate, acute, ray, acute, star, ray

Step-by-step explanation:

The United States has a complex government system. One important tenet of this system is democracy, in which the ultimate power rests with the people. In the case of the United States, that power is exercised indirectly, through elected representatives. Although the U.S. has been a strong proponent of democracy, it did not invent democracy. The Greeks are often credited with pioneering a democratic government that went on to influence the structure of the United States. Read this article that describes how elements of ancient Greek democracy heavily influenced the figures that designed the United States government.

1. What are the formulas for the two main types of energy?

Answers

Answers:

Kinetic Energy Formula: [tex]KE = \frac{1}{2} mv^2[/tex]

Potential Energy Formula: [tex]PE=mgh[/tex]

Explanations:

For KE:

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

For PE:

In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.


Pls help asap

Pls show ur work pls

Answers

Answer:

6.08

Step-by-step explanation:

For four brushes its 16 and for two rollers and trays its 16. Add that with the tax and you’ll get 33.92. Subtract 40 with the overall cost to get 6.08

Answer:

$6.08

Step-by-step explanation:

To find the change you must add together the cost of all the items and the tax. then subtract that by 40 dollars

So . .

Painbrushes cost $4.00

$4.00 × $4.00 = $16.00

Rollers cost $8.00

$8.00 × 2 = $16.00

Add them

$16.00 + $16.00 = $32.00Then Add $1.92 to $32.00$33.92

Then Subtract that from $40.00

So. .

$40.00 - $33.92

= $6.08

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