What is the distance between the bank and Hiroto's house on the map?

Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)

Answers

Answer 1

Answer:

The distance is 12 miles

Step-by-step explanation:

Given

See attachment for grid

Required

The distance

From the attached:

[tex]B = (-8,6)[/tex] --- Bank

[tex]H = (4,6)[/tex] --- Hiroto's house

Using distance formula, we have:

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

This gives:

[tex]d = \sqrt{(-8- 4)^2 + (6 - 6)^2}[/tex]

[tex]d = \sqrt{(-12)^2}[/tex]

[tex]d = \sqrt{144}[/tex]

[tex]d = 12[/tex]

What Is The Distance Between The Bank And Hiroto's House On The Map?Enter The Distance To The Nearest

Related Questions

4. Find the solution for the following problem. Explain your reasoning."
What is the solution to the equation below?
2(x - 3) = 2x + 5

Answers

Answer:

no solution

Step-by-step explanation:

Given

2(x - 3) = 2x + 5 ← distribute parenthesis on left side

2x - 6 = 2x + 5 ( add 6 to both sides )

2x = 2x + 11 ( subtract 2x from both sides )

0 = 11 ← not possible

This indicates the equation has no solution

Sin 0 = 7/25 and cos 0 = -24/25. Find tan 0

Answers

Answer:

[tex]tan \theta = - \frac{7}{24}[/tex]

Step-by-step explanation:

[tex]sin \theta = \frac{7}{25} \ , \ cos\theta = \frac{-24}{25}\\\\tan \theta = \frac{sin\theta}{cos\theta}[/tex]

        [tex]=\frac{\frac{7}{25}}{\frac{-24}{25}} \\\\=\frac{7}{25} \times \frac{25}{-24}\\\\= - \frac{7}{24}[/tex]

In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?

66.7%
-50%
-33.3%
50%

Answers

Answer:

-33.33%

Step-by-step explanation:

((450-300)÷450)×100

(150÷450)×100

-33.33%

-33.3% is the right answer

Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take

Answers

Time = distance / speed

Time = 450 miles / 65 miles per hour

Time = 6.9 hours

is x = 3 a function or not a function ?!

Answers

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390
6A + 4B + 5.75C = 405​

Answers

Answer:

C = 20

Step-by-step explanation:

What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390

6A + 4B + 5.75C = 405​

Step 1

We solve for C first

6A + 4B + 5C = 390....Equation 1

6A + 4B + 5.75C = 405​... Equation 2

We substract Equation 1 from Equation 2

0.75C = 15

C = 15/0.75

C = 20

No files just ty0e it in please and thank you

Answers

sorry im answering late..

Answer:

27

Step-by-step explanation:

9x0=0  9x1=9  9x2=18                                

[9x3=27]  9x4=36  9x5=45  

9x6=54  9x7=63  9x8=72  

9x9=81  9x10=90  9x11=99

9x12=108

the expression -7y is called what

Answers

Answer:

called "pi".

Step-by-step explanation:

Use the image to complete the equation below

Answers

11y-36= 63° because of the angles theorem.

1 Solve the compound inequality 4x>-16 or 6x <-48

Answers

Answer:

Step-by-step explanation:

4x > -16 reduces to x > -4:  All numbers greater than x = -4 (shaded area to the right of -4).

6x < -48 reduces to x < -8:  All numbers to the left of -8 (shaded area to the left of -8).

Solution:  (-infinity, -4) ∪ (-8, infinity)

The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)

Draw an open circle at -8 and extend an arrow to the left of this circle.  Then draw an open circle at -4 and extend an arrow to the right of this circle.

Help with this ASAP please

Answers

Answer:

86

Step-by-step explanation:

43×2=86

bisector means halves an angle into two equal angles

1. the surface area of the rectangular prism
5 cm
20 cm
4cm

Answers

Answer:

430 cm^2

thankuhh

have a nice day

400cm^2

Please mark brainliest!

Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.

y = -x 2 + 6x + 5



HELP PLEASE!!!!!!

Answers

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

Does this help? Vertex form: y(x) = 4x + 5

Please help me it's urgent!

Answers

Match the graph with the correct set of equations for each linear system.

Paula reside em uma cidade em que a densidade demográfica é igual a 5 500 hab/km2. Nessa cidade, a população está distribuída em um território de 80 km2. Qual é a população da cidade em que Paula reside? 11 078. 440 000. 880 000. 1 760 000.

Answers

Answer:

RESPOSTA:B) 440.000

Step-by-step explanation:

UMA BASICA EXPLICAÇÃO: BASTA PEGAR OS 5 500HAB/KM

E MULTIPLICAR ELE PELO TERRITORIO QUE É:80KM

5 500HAB × 80KM = 440.000

Write 5/8 as a sum of fractions two different ways.

Answers

Answer:

2/8 + 3/8

1/8 + 4/8

Step-by-step explanation:

I hope this is what you mean!

If this helps you, please mark brainliest!

The requried, 5/8 can be expressed in two different ways of the sum as  1 / 8 + 4 / 8 and 2/8 + 3/8.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As mentioned in the quesiton, to determine 5/8 as a sum of fractions in two different ways.

5 / 8 = a / 8 + b / 8
5 = a + b

So the above-modeled equation, gives the required fraction, by assuming a value that satisfies the equation,
For a = 1, 2, 3, 4 , b = 4, 3, 2, 1

So different combination is given as, 1 / 8 + 4 / 8 and 2/8 + 3/8.

Thus, the requried, 5/8 can be expressed in two different ways of the sum as  1 / 8 + 4 / 8 and 2/8 + 3/8.

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Find the value of k if the slope of the line 2x-ky+3=0 is 5/3

Answers

Answer:

6/5

Step-by-step explanation:

2x+3=ky

ky=2x+3

y=(2x+3)/k

y=2x/k + 3/k - > equation 1

y=mx + c - >equation 2

Comparing equation 1 and 2,

2/k=m

2/k=5/3

6/5=k

k=6/5

In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.

Year National Average

Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the average salary increase per year between the years 1980 and 1990.

$1,539.70
$8,367.80
$2,566.20
$1,004.10


A is right

Answers

Step-by-step explanation:

Obviously A is the correct answer you have already gave us hint. Btw thanks for the pts

please please please help

Answers

Answer:

a S(-3) = 2(-3)(-3)+5(-3)-12

=18-15-12

=-9

b 2x2+5x-12=0

2x2+8x-3x-12=0

2x(x-4)-3(x+4)=0

(2x-3)(x+4)=0

2x-3=0

x=3/2

x=-4

sorry I couldn't answer the other question

I have to solve the equation:
[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]
But this wasn't in the answers either.
After I checked, the correct answer was:
[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]
So I was wondering where does the minus come from?

It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know. ​

Answers

Think back to the definition of absolute value:

• If x ≥ 0, then |x| = x.

• If x < 0, then |x| = -x.

In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.

This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.

In this case,

|4√2 - 6| = -(4√2 - 6) = 6 - 4√2

because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:

4√2 = √16 √2 = √32

6 = √36

and √32 < √36 because 32 < 36.

Similarly,

|2√10 - 6| = 2√10 - 6

because

2√10 = √4 √10 = √40

6 = √36

So ultimately,

|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2

Explain how to use the standard normal table to
find the probability associated with the shaded
area under the curve.
A
^
-3
-2.
0
1
2
3
0.4
1.9

Answers

The probability associated with the shaded area under the curve is 0.6267

How to determine the probabilities?

From the curve, we have the following parameters:

z1 = 0.4

z2 = 1.9

Using the standard normal table, determine the p values at the respective z-scores

P(z >0.4) = 0.3446

P(z<1.9) = 0.9713

The probability is then calculated using:

P = P(z<1.9) - P(z >0.4)

Substitute the known values

P = 0.6267

Hence, the probability associated with the shaded area under the curve is 0.6267

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Answer:

The standard normal table gives areas under the curve to the left of z-scores.

Find the probability in the standard normal table that a value is to the left of 1.9.

Find the probability in the standard normal table that a value is to the left of 0.4.

Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.

Distribute 5x\left(1+3x\right).5x(1+3x)

Answers

Answer:

5x + 15x²

Step-by-step explanation:

Given the expression 5x(1+3x)

Generally, according to the distribution rule,

A(B+C) = AB + AC

A is distributed over B and C

Similarly,

5x(1+3x)

= 5x(1) + 5x(3x)

= 5x + 15x²

Hence the expression required is 5x + 15x²

The ratio of pennies: nickels is proportional to the ratio of nickels: dimes, and to the ratio of dimes: quarters. If you have one penny and two nickels, how much money do you have?​

Answers

Answer:

11 cents

Step-by-step explanation:

1 penny = 1 cent

1 nickel = 5 cents

2×1 nickel = 10 cents

1 penny + two nickels

= 1 cent + 10 cents

= 11 cents

In order for the parallelogram to be a
rhombus, x = [?].
(x + 15)
(2x - 40)
Help pleaseeee

Answers

Answer:

Step-by-step explanation:

x+15 = 2x-40

Move x to the right side and you get 15 = x-40

Move -40 to the left side and you get x = 55

In order for the parallelogram to be a rhombus, x must equal 55.

What is a rhombus?

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add up to 180 degrees.

We have,

If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.

We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.

x + 15 = 2x - 40

First, we can simplify by adding 40 to both sides and getting:

x + 55 = 2x

Next, we can subtract x from both sides and get:

55 = x

Therefore,

In order for the parallelogram to be a rhombus, x must equal 55.

To verify this, we can substitute x = 55 back into the expressions for the sides:

x + 15 = 55 + 15 = 70

2x - 40 = 2(55) - 40 = 70

Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.

Thus,

In order for the parallelogram to be a rhombus, x must equal 55.

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A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

6 people

Step-by-step explanation:

$230 - $8 = $222

x · 35.75 = 222

x · 35.75 ÷ 35.75 = 222 ÷ 35.75

[tex]x=6\frac{30}{143}[/tex]

The measure of 1 in the diagram below is 113º.

What is the measure of <4?

Answers

Answer: 67°

Step-by-step explanation:

From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.

Therefore,

Angle 1 + Angle 4 = 180°

113° + Angle 4 = 180°

Angle 4 = 180° - 113°

Angle 4 = 67°

Therefore, the measure of <4 is 67°

I need help please! ASAP!

Answers

Answer:

Step-by-step explanation:

the answer is 10 you’re welcome

Ms.Jane runs a boutique in Jumeirah. She bought 50 m cloth to stitch shirts for her boutique.If one shirt requires 2m 15cm of the cloth then

Answers

Answer: 23 shirts

Step-by-step explanation:

Given

Ms. Jane bought 50 m cloth to stitch shirts

If one shirt requires 2m and 15 cm cloth i.e. [tex]2+0.15=2.15\ m[/tex]

No of shirts that can be made using 50 m cloth

[tex]\Rightarrow \dfrac{50}{2.15}=23.25\approx 23\ \text{Shirts}[/tex]

Therefore, Ms. Jane can made 23 shirts from 50 m cloth.

A building casts a 21 foot shadow along the ground. A person 5 feet 3 inches casts a shadow 7 feet long.



How tall is the building?

Answers

Answer:

~28

Step-by-step explanation:

5 feet 3 inches is 5.25 feet.

We divide 7/5.25 which equals 1.3333333333333 (repeating)

That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)

Question 2 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10+
(7.2)

-10
(0,0)
10
- 10+
A. y=-7x
O B. y = 2x

Answers

Answer:

D)

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

Y-intercept=0

The equation of line is y = ( 2/7 )x where the slope of line is m = 2/7

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 7 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 0 ) / ( 7 - 0 )

Slope m = 2/7

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Therefore , the value of A is y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

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