To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the gym. Finally, he walked 615 feet back to his house from the gym.

Answer:

Considerations:

[tex]$y=-(x) \left \{ {{\text{if } x<0\text{ then }y>0} \atop {{\text{if } x> 0\text{ then }y<0}} \right. $[/tex]

[tex]$y=x\left \{ {{\text{if } x<0\text{ then }y<0} \atop {{\text{if } x> 0\text{ then }y>0}} \right. $[/tex]

Also,

[tex]$-\frac{a}{b}=\frac{-a}{b}=\frac{a}{-b}, b\neq0 $[/tex]

A positive number divided by a positive number results in a positive quotient, and its opposite is always negative.

The fraction [tex]$\frac{5}{-12} $[/tex]  can be described as a positive number divided by a negative number, which always result in a negative quotient.

The fractions have same value, so Liam is correct.

Answer:

184

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

hope this helps!

Step-by-step explanation:

The inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable. In an inverse function, the value of two variables x and y are interchanged, and then the value of y is given an inverse function.

Given function is f(x) = ( 10/9x) + 11. the inverse function will be calculated as below:-

y = 10/9x+11

x = ( 10 / 9y ) + 11

x - 11 = ( 10 / 9y )

9y / 10 = ( 1 / ( x - 11 )

9y = 10 / ( x - 11 )

y = ( 10 ) / ( 9x - 99 )

Therefore, the inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).

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Answer: 2.5 hours

Step-by-step explanation:

130 / 52 = 2.5

A bus will take "2.5 hours" to travel.

Given that:

Speed of bus (s),

= 52 km/h

Distance (d),

= 130 km

As we know,

→ [tex]Speed = \frac{Distance}{Time}[/tex]

or,

→ [tex]Time = \frac{Distance }{Speed}[/tex]

By substituting the values, we get

            [tex]=\frac{130}{52}[/tex]

            [tex]=2.5 \ hours[/tex]

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Answer:3

Step-by-step explanation:

Answer:

-20a

Step-by-step explanation:

-5a-6a+-9a

-11a+-9a

-20a

Final answer:

To express [tex]8^{1/2[/tex]in simplest radical form, recognize that it's equivalent to the square root of 8, then simplify to 2√2 by breaking down 8 into prime factors and finding pairs of factors.

Explanation:

To express [tex]8^{1/2[/tex] in simplest radical form, we follow these steps:

Recognize that an exponent of 1/2 is equivalent to the square root.

Find the square root of 8, which can also be written as √8.

Since 8 is not a perfect square, we can simplify it by breaking it down into its prime factors: 8 = 2 x 2 x 2.

Group the factors into pairs to determine the square root: 8 has one pair of 2s.

This pair comes out of the radical as a single 2, leaving one 2 inside the radical: 2√2.

Therefore, 8^1/2 simplifies to 2√2, which is the simplest radical form.

Answer:

180 degrees.

Step-by-step explanation:

The interior angles in a triangle have a sum of 180 degrees. You can also prove it by the Sum of Interior Angles formula:

S= (n-2)·180.

n- the number of sides in the polygon

S= the total sum of interior angles.

Answer:

The sum of three interior angles always have to have the sum of 180 degrees. So with that being said, each of the angles have to be less than 180 degrees.

Brainliest is appreciated.

Step-by-step explanation:

Answer:

84 inches

Step-by-step explanation:

A regular hexagon has 6 sides where all 6 sides are congruent meaning that each side is 14 inches.

Hence:

14*6=84

In Conclusion:

The perimeter of the hexagon is 84 inches.

Hope this helps!

Answer:

84

Step-by-step explanation:

14+14+14+14+14+14=84

A hexagon has 6 equal sides and you add all of the sides to find perimeter.

Answer: $13 for the 9 mile ride.

The taxi ride that is m miles long would cost as follows: 4 + m

Step-by-step explanation:

The cost of Joseph's taxi ride is calculated by adding a flat fee of $4 to $1 for each mile driven. Thus, a 9-mile ride would cost $13. For a ride of m miles, the cost would be $4 plus $1 per mile.

The cost of a taxi ride can be determined using a function that considers two components: a flat fee, and a rate per mile. In Joseph's case, the online tax service charges a $4 flat fee for pickup, and $1 per each mile driven. Hence, the equation for the cost of a taxi ride (C) for Joseph is as follows: C= 4+1*m.

For a ride of 9 miles, we would substitute m with 9: C = 4+ 1*9, which simplifies to C = $13. Therefore, a 9-mile ride would cost $13.

For a taxi ride that is m miles long, the cost would be C = 4 + 1*m. The 4 represents the flat fee, and the 1*m represents the cost per mile that is driven multiplied by the number of miles in the ride. Therefore, a taxi ride that is m miles long would cost $4 plus $1 per mile.

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Answer:

A and B.

Step-by-step explanation:

To find the area, you need to multiply the length and width.

A = L x W

5 x 4 = 20

10 x 2 = 20

Answer:

6 * x^6

Step-by-step explanation:

We have  (12x^9) / (2x^3)

(12x^9) / (2x^3)  =  6 * (x^9/x^3)    Divide the constants first

(12x^9) / (2x^3)  = 6 * x^ (9-3)

(12x^9) / (2x^3)  = 6 * x^6

Answer:

Dividing is the inverse (opposite) of Multiplying.

A negative exponent means how many times to divide by the number.

Answer:

There is a power property for negative exponent powers which says that a power with a negative exponent is equal to 1 between the same power, but with a positive exponent. In other words, to convert the exponent from negative to positive, the power is converted to the denominator

Step-by-step explanation:

Answer:

5 feet

Step-by-step explanation:

5x5

thanks jimtompson5910 for helping me fix my mistake

Some number times itself is 25. The question is: which number?

That would be 5 since 5 times 5 = 25

You can also apply the square root to 25 to get 5, to avoid guessing and checking.

Answer:

three B

Step-by-step explanation:

simple addition

Answer:

79.95

Step-by-step explanation:

The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).

12% becomes -0.12

8% becomes 0.08

Now, let's solve.

79.99 - 0.12 + 0.08

Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.

Evaluating 79.87 + 0.08, we get the final answer, 79.95.

so the right answer is 70.

Look at the attached picture ⤴

Hope it will help u

Answer:

B

Step-by-step explanation:

The range can be found by subtracting the lowest number from the highest number

First, arrange the numbers in order from least to greatest

350,280,340,290,320, 310,300

280, 290, 300, 310, 320, 340, 350

So, our lowest number is 280, and our highest is 350.

highest number - lowest number

Subtract 280 from 350

350-280

70

So, our range is 70, making B the correct answer

Answer:

The answer is 2√15 .

Step-by-step explanation:

Using Indices Law :

[tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]

[tex] \sqrt{ - 6} \times \sqrt{ - 10} [/tex]

[tex] = \sqrt{ - 6 \times - 10} [/tex]

[tex] = \sqrt{60} [/tex]

Next, you have to find the common factors of 60 :

60 = 1×60

60 = 2×30

60 = 3×20

60 = 4×15

60 = 5×12

60 = 6×10

In order to simplify, we have to choose a perfect square from the factors above. In the factors above, 4 is a perfect square so that we can square root it :

[tex] \sqrt{60} [/tex]

[tex] = \sqrt{4 \times 15} [/tex]

[tex] = \sqrt{4} \times \sqrt{15} [/tex]

[tex] = 2 \times \sqrt{15} [/tex]

[tex] = 2 \sqrt{15} [/tex]

Answer:

the correct answer is 6

Step-by-step explanation:

hope it helps !

To find 1/3 of the difference of 20 and 2, subtract 2 from 20 to get the difference, then divide the difference by 3.

To determine one-third of the difference between 20 and 2, we first find the difference itself, which is 20 - 2 = 18. Then, recognizing that one-third represents dividing by 3, we divide the difference, 18, by 3, resulting in 18 ÷ 3 = 6. This mathematical process illustrates the sequential steps taken to solve the problem. The method involves subtraction to identify the difference and subsequent division by 3 to find the desired fraction. This systematic approach ensures clarity in understanding the solution. Hence, one-third of the difference between 20 and 2 equals 6, demonstrating the application of basic arithmetic concepts in solving real-world problems and enhancing mathematical reasoning skills.

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Answer:

a

Step-by-step explanation:

Answer: -8/5

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent.

Answer:

39

Step-by-step explanation:

Answer:

no: 5-4+7x+1 = 7x+1

one: 5-4+7x+1 = 6x+2

infinitely many: 5-4+7x+1 = 7x+2

The efficiency of the car in unit miles per gallon will be 26.28.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

Given that,

The car takes 9 liters per 100​ kilometers

9 liters ⇒ 100 km

Since 1 gal= 3.7854 L → 1 L = (1/3.7854) gal

9 L = (9/3.7854) gal

1 mile = 1.6 km → 1 km = (1/1.6) miles

100 km = (100/1.6) miles

So, (9/3.7854) gal ⇒ (100/1.6) miles

Efficiency = (100/1.6) ÷ (9/3.7854)

Efficiency = 26.28 miles/gal

Hence "The efficiency of the car in unit miles per gallon will be 26.28".

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the answer is C, I think because parallel lines never touch

The required answer is two lines are parallel if and only if they lie in the same plane and do not intersect, and two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles. Option   A is correct.

Given that,
An incomplete statement is given,
We have to complete the statement using the appropriate options that thinks fit to black space.

The line is a curve showing the shortest distance between 2 points.

Here,
Two lines are ___ if and only if they lie in the same plane and do not intersect.
The above statement is the definition of parallel lines, so the complete statement is,
Two lines are parallel if and only if they lie in the same plane and do not intersect.,

Two lines are __ if and only if they lie in the same plane and intersect at the right angles

The above statement is the definition of perpendicular,
So the complete statement is,
Two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles.

Thus, the required correct option is option A, Parallel and perpendicular.

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Answer:

2 answers 27 and 50 units

Step-by-step explanation:

Answer: which side is the length and which side is the height?

Answer:

i think it is c. good luck!!

Step-by-step explanation:

The value of x is 11.037

The correct option is (B)

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Using Trigonometry,

cos 25 = B/ H

cos 25 = 10 / x

0.906 = 10/ x

x= 10/ 0.906

x= 11.037

Hence, the value of x is 11.037.

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Answer:

36π

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

BECAUSE U MULTIPLY THEN DIVIDE