Are the lines perpendicular?

no, because the slopes of the lines are equal
no, because the slopes of the lines are not opposite reciprocals
yes, because the slopes of the lines are equal
yes, because the slopes of the lines are opposite reciprocals

Answer:

5

-5

13

-5

-13

13

5

-13

Step-by-step explanation:

Answer:

5, -5, 13, -5, -13, 13, 5, -13

Step-by-step explanation:

Hope this helped and have a good day

Answer:

-6<x<4

Step-by-step explanation:

x^2+2x-24=0

(x-4)(x+6)=0

x-4=0

x+6=0

x=-6,4

x<-6 false

-6<x<4 true

x>4 false

so -6<x<4

Th number of miles driven by truck is 169.

For the given question:

The base fee of the drive = $17.95.

The additional charges are 92 cents for each mile driven.

The additional charges = $0.92

Let 'x' be the miles driven by the truck.

Thus, the total additional charges for the drive of x miles will be: 0.92x.

So, the total charge for truck drive is;

The total charge are given as $173.43.

Total charge = base charge + additional charge

$173.43 = $17.95 + 0.92x

0.92x =  $173.43 - $17.95

0.92x =  155.53

x = 169.05

x = 169 miles.

Thus, the total number of miles driven by the truck are 169 miles.

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Evaluating the expression 3(a - b) for a = 3 and b = -5 is equal to 24.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

To evaluate an expression or an equation means to substitute a value to the variable and perform the arithmetic operations included.

Given the expression 3(a - b), substitute the value of the variable a and the value of variable b.

3(a - b)

3[3 - (-5)]

Performing the arithmetic operations, we can have the value of the expression.

3[3 - (-5)]

= 3(3 + 5)

= 3(8)

= 24

Hence, the expression 3(a - b) when a = 3 and b = -5 is equal to 24.

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The least common multiple of the given polynomial 9(x+2)(2 x-1) and 3(x+2) is 3(x + 2).

According to the given question.

We have two polynomials 9(x + 2)(2x - 1) and 3(x + 2).

Since, we have to find the least common multiple of 9(x + 2)(2x -1) and 3(x+2).

As we know that, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero.

From the definition of least common multiple, we can say that the least common multiple of 9 and 3 is 3 and (x +2)(2x -1) and (x + 2) is (x + 2).

Thereofrore, the least common multiple of the given polynomial 9(x+2)(2 x-1) and 3(x+2) is 3(x + 2).

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The equation -4x + 2y = 10 represents a linear function

[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear function

x = -5 represents a linear function

y = 1.5x represents a linear function

The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power.

When a linear function is written in its simplest form, it looks like y = a + bx, where a and b are both constants.

-4x + 2y = 10 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

[tex]y = 2x^2 - 3x + 5\\[/tex] represents a non-linear functions as it lies in the plain (x-y) and it has power higher than 1. The highest power of the exponent is 2.

x = -5 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

y = 1.5x represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

Therefore, equations -4x + 2y = 10 , x = -5 , y = 1.5x are linear functions.

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The equation -4x + 2y = 10 represents a linear function

[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear function

x = -5 represents a linear function

y = 1.5x represents a linear function

The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power.

When a linear function is written in its simplest form, it looks like y = a + bx, where a and b are both constants.

-4x + 2y = 10 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear functions as it lies in the plain (x-y) and it has power higher than 1. The highest power of the exponent is 2.

x = -5 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

y = 1.5x represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

Therefore, equations -4x + 2y = 10 , x = -5 , y = 1.5x are linear functions.

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Answer: Discrete

Step-by-step explanation: Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting.

                                         Hope this helps!

Answer:

171.84

Step-by-step explanation:

156 + 15 = 171

171 + 0.84 = 171.84

Sn = a(1 - rⁿ)/(1 - r) is the formula for the sum of a finite number of terms in a geometric series, where is the number of terms, is the first term, and is the common ratio.

The sum of the finite geometric series, Σ⁴ n=1 (2/3)ⁿ⁻¹ be 2.407.

The equation be Sn = a(1 - rⁿ)/(1 - r), where s is the total, a1 is the series's first term, and r is the common ratio, is a general formula for calculating the sum of an finite geometric series. The formula a2/a1, where a2 is the second term in the series and a1 is the first term in the series, can be used to determine the common ratio.

Let the series be Σ⁴ n=1 (2/3)ⁿ⁻¹

Σ⁴ n=1 (2/3)ⁿ⁻¹ = (2/3)¹⁻¹ + (2/3)²⁻¹ + (2/3)³⁻¹ + (2/3)⁴⁻¹

= 1 + (2/3) + (2/3)² + (2/3)³

= 1 + (2/3) +(4/9) +(8/27)

Where, the first term is a = 1

common ratio be r = 2/3

n th term be n = 4

Let the equation be Sn = a(1 - rⁿ)/(1 - r)

substitute the values in the above equation, we get

S4 = 1(1 - (2/3)⁴)/(1 - (2/3))

S4 = 1(1 - (16/81)⁴)/(1/3)

S4 = (65/81) × 3

S4 = (65/27) = 2.407

Therefore, the sum of the finite geometric series, Σ⁴ n=1 (2/3)ⁿ⁻¹ is 2.407.

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13 litres of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher.

Concept: In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in math.

Quantity of 1 glass of water= 0.8 liters

Quantity to be filled completely = 10.4 liters

No . of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher = 10.8/0.4 = 13

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In linear equation, 16.6 miles will he have to his destination after 33 minutes of driving.

What in mathematics is a linear equation?

for linear equation rate of change is constant .

rate of change of distance from destination with respect to time

 =  49.8 - 61/29 - 15

 = -11.2/14

  = -0.8

now the distance from destination after 57 minutes driving

= 49.8 + (-0.8)( 33 - 29 )

= 19.8 -3.2

= 16.6 miles

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The solution of the equation for h is as follows:

h = 2r

The equation is represented as follows:

2πr³ = πr²h

where

Therefore, let's make h the subject of the formula

2πr³ = πr²h

Divide both sides by πr²

2πr³ / πr² = πr²h / πr²

h = 2r

Therefore, the solution of the equation for h is as follows:

h = 2r

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Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

option b is correct

9/4 = 2.25

13.5/6 = 2.25

do the last one yourself

Answer:

brwhwthfv fvqfbqrhwt vwrvqdvqrgdqg

an=a1+d(n−1)  is the explicit and a recursive formula for each sequence .

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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To rotate a point 90° counterclockwise about the origin, multiply the y -coordinate by -1 and then interchange,    the x - and y -coordinates are    (x,y) -> (-y,x)

What does the term "coordinates" mean?

Rotation of 90° counter-clockwise about origin-

Think about the location (X, Y). You may always swap the x- and y-coordinates and then multiply the new x-coordinate by -1 in order to rotate this point by 90 degrees around the origin in the opposite manner.

This would be expressed mathematically as follows

(x ,y)    →    ( -y ,x)

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The value of 5•10⁷ µs​ quantity in second is 50 .

We know that 10⁶μs is equal to 1 second .

Using unitary method , we get

 1 μs have = 10⁻⁶ second

 5•10⁷ µs​ have = 5 × 10⁷ × 10⁻⁶

                        = 50 second

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The statement is true and option (C) is correct.  i.e m∠CEB = 45° .

To prove

Reason

As shown in the diagram

∠CEA  = ∠CEB + ∠AEB

Bisector

A bisector is a tool that divides any object into two equal parts.

As given

∠CEA is a right angle, and EB bisects it, dividing it into two equal parts.

Thus  

∠CEB  = ∠AEB = 45 °

Therefore

m ∠CEB  = 45 °

Hence proved.

Therefore the correct option is option (C) is correct.

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[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{-6}x\stackrel{\stackrel{c}{\downarrow }}{-16} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -6}{2(-1)}~~~~ ,~~~~ -16-\cfrac{ (-6)^2}{4(-1)}\right) \implies \left( - \cfrac{ -6 }{ -2 }~~,~~-16 - \cfrac{ 36 }{ -4 } \right) \\\\\\ (-3~~,~~-16+9)\implies (-3~~,~~-7)[/tex]

Answer:

[tex] \frac{7}{15} [/tex]

Step-by-step explanation:

The question is asking us to find the difference between 4/5 and 1/3.

[tex] \frac{4}{5} - \frac{1}{3} [/tex]

First we have to determine the LCM which is 15.

LCM is obtained by multiplying 5 and 3 from the denominators.

Then proceed as follows

[tex] \frac{4}{5} - \frac{1}{3} = \frac{12 - 5}{15} \\ = \frac{7}{15} [/tex]

The solution is therefore

[tex] \frac{7}{15} [/tex]

The given equations are neither parallel nor perpendicular with each other.

According to the question, to calculate the slope of the given equations.

y = x - 3 and Y = 4x + 3

Now, equate the given equations with the standard slope equation that is: y = mx + c

Using above equation, the slope for first equation is: m1 = 1

And the slope for the second equation is: m2 = 4

When the value of the slopes are equal, means lines are parallel. Similarly, when the value is negative one, then the lines are perpendicular to each other otherwise neither parallel nor perpendicular.

Hence, the given equations are neither parallel nor perpendicular with each other.

What is the slope of a line?

The slope of a line is the ratio of the y-axis coordinates and the x-axis coordinates. It is also called as gradient which tells the steepness of a straight line. Depending upon the values, it is categorized as parallel, perpendicular or no line.

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The graph of the given piecewise function is given at the end of the answer.

A piecewise function is a function that has different definitions, depending on the input.

For this problem, the function is defined as follows:

Hence:

The function is given at the graph with the end of answer, with holes where the function is not defined, and multiple behaviors as it is piecewise.

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635 is the 3 digit number Sean is thinking of.

A digit is one of the elements of a set that makes up a numeration system. Thus, in a certain context, a digit is a number. The digits in the decimal (base-10) Arabic numbering system are the constituents in the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Let  a, b , c the digits of hundreds place, tens place and ones places.

Let the digit in the tens place be x, thus b = x

The digit in ones place is 25 less than the value of the digit in the tens place

c = x - 25

And finally, he digit in the hundreds place is 1 more than the digit in the ones place

a = (x - 25) +1

If a, b , c are digits of there respective places the the value of their digits are

a(100), b(10) c(1)

Now, b can be any no. which is more than 25 so as to make positive ones place, lets say 30

b = 30 = x

Thus x = 3, so

a = ( x - 25) +1

  = ( 30 - 25) +1

  = 6

c = 30 - 25

  = 5

Thus, 635 is the 3 digit number Sean is thinking

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Answer: The answer is c 1.32 x 10^25

Step-by-step explanation:

Range = { -2 , 4 , -2 , 1 , 2} is for the relation .

what is domain and range?

How are domain and range determined?

relation. (3,-2),(4,4),(0,-2),(4,1),(3,2)

domain = { 3 , 4 , 0 , 4 , 3 }

Range = { -2 , 4 , -2 , 1 , 2}

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Answer:69999

Step-by-step explanation:your gay