Her house is at (-4, 10). Her school is at (-4, 3). The community center is at (2, 3) The grocery store is at (-4, -6) Part A: Use absolute values to calculate the distance in units from Nina's house to her school. Show your work. (4 points) Part B: Is the total distance from Nina's house to the school to the grocery store greater than the total distance from Nina's house to the school to the community center? Justify your answer. (6 points)

Answers

Answer 1

For part A, we will see that the distance is 7 units. For part B, the distance from Nina's house to the school to the grocery store is larger.

How to find the distances?

Remember that the distance between two points (a, b) and (c, d) is:

[tex]D = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

A) Her house is at (-4, 10), and her school is at (-4, 3), so the distance is:

[tex]D = \sqrt{(-4 - (-4))^2 + (10 - 3)^2} = \sqrt{7^2} = 7[/tex]

The distance is 7 units.

B) In the first case, the distance between the school and the grocery store is:

[tex]D' = \sqrt{(-4 - (-4))^2 + (3 - (-6))^2} = 9[/tex]

So the total distance is 9 + 7 = 16

And the distance between the school and the community center is:

[tex]D'' = \sqrt{(-4 - 2)^2 + (3 - 3)^2} = 6[/tex]

So the total distance is 6 + 7 = 13

So we can see that the total distance from Nina's house, to the school, to the grocery store is larger than the other.

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Related Questions

Select the correct answer.
Richard reads 28.9 inches of mercury on a barometer, which is 1 inch lower than normal atmospheric pressure. The temperature is 40°F. What type of weather is most likely to occur where Richard is?
A.
fair and dry
B.
drought
C.
rain shower
D.
snowfall

Answers

The weather that is most likely to occur where Richard is is rain shower.

What type of weather is most likely to occur?

Weather is the state of the atmosphere of a particular place over a short period of time. There is low atmospheric pressure, so it is likely that it would rain. This is because when the  atmospheric pressure is low, it is likely that it would rain.

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Answer:

Rain shower is most likely to occur where Richard is. (Option c)

• The air pressure is lower than the normal and that's why it suggests that the rainfall will happen in that place because rainfall generally occurs in the place where the low pressure is formed.

• And,the temperature is above than the freezing point of the water so there are no chances of the snowfall in that place.

• That's why rainfall is the most probable thing that will happen in that place.

Step-by-step explanation:

What is X of 75 degrees 13 rounded to the nearest tenth

Answers

a=6.9
Step-by-step explanation:
Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get , which after cross multiplying yields . PM me if you have any questions?

(-14,-13), (-7,-7)

Can anyone help me solve this - algebra

Answers

Answer: y=6/7x-1

Step-by-step explanation:

I am assuming you want a line formula in y=mx+b

slope (y2-y1)/(x2-x1) = -7+13/-7+14 = 6/7

y+7=6/7(x+7)

y+7 = 6/7x+6

y=6/7x-1

what is the answer to 3a^-2/a^-3

Answers

Answer:

3a

Step-by-step explanation:

The preimage undergoes the sequence of transformations to produce an image, figure 1.

1. reflection across a horizontal line

2. rotation counterclockwise about point P

3. dilation with a scale factor of 1

Answers

Based on the transformations that occurred, the preimage is most likely the topmost right image.

Where is the preimage?

The transformations list shows that the first transformation was the reflection across the horizontal line drawn.

When a reflection is done, the shape looks like the inverse of itself. The only shape that looks like an inverse and is therefore a reflection is the bottom right shape which means the preimage must be the top right image.

Remaining part of question:

Which is the preimage?

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GIVING BRAINLIEST PLEASE ANSWER QUICKLY I APPRECIATE IT SO MUCH PLS HELP im like begging

Answers

Answer:

x=28

Step-by-step explanation:

cos60°=14/x

0.5=14/x

x=14/0.5

x=28

Answer:

A. 28

Step-by-step explanation:

The value of x is equal to 18

Hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!

Have a great day!

:)

(6x10^7) divided by (2x10^3) give your answer in standard form

Answers

Answer:

In the end, the answer is: 30,000

Step-by-step explanation:

[tex]\frac{60,000,000}{2,000} = 30,000[/tex]

which expression is equivalent to 56x - 28y + 42?
A) 8(7x-3y + 6)
B) 7(8x + 4y +6z)
C) 7(8x - 4y + 6)

Answers

Answer: c or a

Step-by-step explanation:

Which choice is it down below?

Answers

Answer:

B. AC > AB

Step-by-step explanation:

AC is the longest line and AB is shorter than AC

What is the value of x in the equation shown Below?2(x+4)-4x=10x-4

Answers

Answer: 1

Step-by-step explanation:

Please Help I Don't Understand

Answers

Step-by-step explanation:

please Mark me brainlist!!

What is the solution -2x+3-(5-6x).

Answers

Answer: 2(2x-1)

Range terms

Distribute

Subtract the numbers

please help, i'm having trouble with this

Answers

Answer:

(2,11)

Step-by-step explanation:

What is substitution method?

The substitution method is where you plug in an expression that defines a variable into the other equation so you are left with one variable in which you can solve for.

In order to use the substitution method, one of the variables must be defined by an expression (e.g. x = 8y + 2 , the x is defined by the expression 8y + 2. )

Rearranging terms to define x or y

We have the two equations 2x + y = 15 and 7x - 2y = -8

The equation we would rearrange would likely be 2x + y = 15 as the y is by itself meaning we could easily change a few things to define it.

2x + y = 15

==> subtract 2x from both sides

2x - 2x + y = 15 - 2x

==> simplify

y = 15 - 2x

Plugging ( or substituting ) y's defined expression into the other equation.

Now that we have rearranged the equation to where "y" is being defined we can plug in the expression defined by y into the other equation and then solve for x.

2nd equation : 7x - 2y = -8

==> plug in y = 15 - 2x

7x - 2(15-2x) = -8

==> distribute the 2

7x - 30 + 4x = -8

==> combine like terms

11x - 30 = -8

==> add 30 to both sides

11x = 22

==> divide both sides by 11

x = 2

Substituing the value of x into one of the equations and then solving for y.

Now that we have calculated the value of x we can calculate the value of y by plugging in the value of x into one of the equations and solving for y.

2x + y = 15

==> plug in x = 2

2(2) + y = 15

==> multiply 2 and 2

4 + y = 15

==> subtract 4 from both sides

y = 11

The solution is (2,11)

Checking our work:

To check our work we can plug in the value of x and y into both equations. If both are true then the solution is correct but if one or both are false then the solution is incorrect.

First equation; 2x + y = 15

==> plug in x = 2 and y = 11

2(2) + 11 = 15

==> multiply 2 and 2

4 + 11 = 15

==> add 4 and 11

15 = 15

Second equation; 7x - 2y = -8

==> plug in x = 2 and y = 11

7(2) - 2(11) = -8

==> multiply 7 by 2 and 11 by -2

14 - 22 = -8

==> subtract 22 from 14

-8 = -8

Both are correct therefore (2,11) is the correct solution

Which expression is equal to p + (q + r)?

(p + q) ⋅ r
(p + q) + r
p + qr
q + pr

Answers

Answer:

(p + q) + r

is the correct answer

Please help!!!!!!!!!!!!!!! i need this answer really fast!!!

Answers

Answer:

What's the question you f... you amazing human being

helppp quickkkkkkk enough points

Answers

Answer:

[tex]a=2\\\\ b = 20\\\\ c = 47[/tex]

Step by step explanation:

[tex]a(x) = 2(x+5)^2 -3\\\\~~~~~~~=2(x^2 +2 \cdot 5 \cdot x +5^2) -3\\\\~~~~~~~=2(x^2 +10x+25) -3\\\\~~~~~~~=2x^2 +20x +50 -3 \\\\~~~~~~~=2x^2 +20x +47\\\\\text{By comparing}~ 2x^2 +20x +47~ \text{with the standard form}~ ax^2 +bx+c,\\\\a=2,~ b = 20,~ c = 47[/tex]

Answer:

A or 57 7/9ft3

Step-by-step explanation:

13/3x10/3x4/1 = 520/9=57 7/9

Answer gets brainlist

If x=3 and y=-2, the value of -2xy³ is
A 10
B -48
C -96
D 40​

Answers

Answer:

B

Step-by-step explanation:

if

x=3

y=2

-2xy²

3

2³=8

-2×3×8

= -48

I’d say B, makes the most sense.

find the missing angle.

Answers

Answer:90 degree

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

According to the Angle Sum Property of Triangles, the sum of the internal angles is 180°.

55° + x° + 35° = 180°x° + 90° = 180°x = 90°

Daniel runs 40/5 miles in 124/₁ minutes. What is the unit rate in terms of miles per minute? What the answer:

Answers

Using the given information, the unit rate is 0.0645 miles/minute

Calculating rate

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

That is,

Distance = 40/5 miles = 8 miles  

Time = 124 minutes

Using the formula,

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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The unit rate is 0.0645 miles/minute

We have calculated the rate

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

Distance = 40/5 miles

Distance = 8 miles  

Time = 124 minutes

What is the formula of rate?

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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Please Help I Don't Understand!

Answers

Answer:

D) None of the choices are correct.

Explanation:

Given triangles AHL and NKG

Sides which are congruent:

AH and NKHL and KGAL and NG

So, AHL ≅ NKG. There are no such options.

A high speed train travels a distance of 503 km in 3 hours.
The distance is measured correct to the nearest kilometre.
The time is measured correct to the nearest minute.
By considering bounds, work out the average speed, in km/minute, of the train to a suitable degree of accuracy.
You must show your working.
To gain full marks you need to give a one-sentence reason for your final answer the words 'both' and 'round' should be in your sentence.​

Answers

The average speed, in km/minute, of the train is 2.79 km/minute

Calculating average speed

From the question, we are to calculate the average speed in km/minute

From the given information,

Distance travelled = 503 km

Time taken = 3 hours = 3 × 60 minutes = 180 minutes

Using the average speed formula,

Average speed = Distance / Time

∴ Average speed of the train = 503 / 180

Average speed of the train = 2.79 km/minute

Hence, the average speed, in km/minute, of the train is 2.79 km/minute

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What is the product of the fractions below?
1/8 * 4/5

Answers

Answer: 1/10

Step-by-step explanation:

(1 x 4)/(8x5)

4/40

1/10

What is
5×5×5×5×5×5×5×5×5×5×5×5×5+5×5×5-78+67=

Answers

The answer is 1220703239
1,739 i think, i’m not sure !!

two angles forming a linear pair are​

Answers

Answer:

Two angles forming a linear pair are always supplementary. Linear pair of angles are formed when two lines intersect each other at a single point, and the sum of angles of a linear pair is always equal to 180°.

Step-by-step explanation:

Two angles forming a linear pair are always supplementary. Linear pair of angles are formed when two lines intersect each other at a single point, and the sum of angles of a linear pair is always equal to 180°.

Question :

Two Angles Forming Linear pair are .…............ .

Answer :

Two Angles Forming Linear pair are always supplementary ( sum of angles = 180 ) .

They are formed when two lines intersect each other at one point and the sum of angles is 180 .

Triangle ABC is an isosceles triangle.

AB = BC
mB = 34°

What is mA?


A. 34°
B. 56°
C. 73°
D. 112°

Answers

Answer:

C. 73

Step-by-step explanation:

angles A and C will be the same because their sides are the same length!

so to solve this, let's set up an equation

34 + 2x = 180 let x represent the missing angle

now let's solve!

2x = 146x = 73

angle A = 73

let me know if you have any questions :)

Answer:

C!

Step-by-step explanation:

The function(t)--4.87+18.75 is used to model the height of an object projected in the air, where h() is the height in
meters and t is the time in seconds. What are the domain and range of the function h(0)? Round values to the nearest
hundredth.
25
20+
(1.9, 18.05)
15-
10+
st
"

Answers

The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

How to calculate the domain of the function?

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

How to calculate the range of the function?

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

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Answer:

A on EDGE 2022

Step-by-step explanation:

Tom has 12 candies and
eats 2 each minute. sue
has 6 candies and eats 1
every minute. after how
many minutes will they have
the same number of
candies?

Answers

Answer: once tom eats 6 candys he will have the same number as sue

Step-by-step explanation:

Answer:

After 6 minutes they will both have 0 candies.

Which segment does NOT intersect line AG? Please help.​

Answers

Answer:

line BC

Step-by-step explanation:

Line BC is the only line that doesn’t touch line AG

A farmer creates a rectangular pen using part of the wall of a barn for one side of the pen and a total of 130 feet of fencing for the remaining 3 sides, as shown in the diagram. Write and equation which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn

Answers

The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²

How to find area of a rectangle?

The pen is rectangular. Therefore,

area of a rectangle = lw

where

l = lengthw = width

Therefore,

perimeter = 2w + l

perimeter = 2w + x

130 = 2w + x

130 - x = 2w

w = 65 - 1/ 2 x

A = xw

A = x(65 - 1/ 2 x)

A = 65x - 1 / 2 x²

Therefore, the function that represents A, the area of the pen is as follows:

A = 130x - x²

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Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points)

Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4x = 2x−2 graphically? (2 points)

(10 points)

Answers

Answer:

Step-by-step explanation:

A:  The expression 4x = 2x - 2 reduces to x = -1.  This is true for all values of y, since y is not a factor in this expression.

The two other equations intersect at point (-1, -4).  See the attached graph (Solutions2)

y = 4x

y = 2x−2

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

Mathematically, we can substitute the value of y from the first equation into the second:

y = 2x−2

(4x) = 2x−2

2x = -2

x = -1

The intersection of this two lines is (-1,-4).  Since x=-1, this is also the solution to 4x=2x-2, as per the above.

B:  See attached Result Table

C:  See GraphEquation2  

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