The perimeter of the triangle below is 89 units. Find the length of side BC.
Write your answer without variables.

Answer:

$2

Step-by-step explanation:

The rate of change is equal to "rise over run"

the rise is: 20

the run is: 10

20/10=2

The correct options that gives the required type of equation solution to the system of equations are;

No solution;

2•x + 9 + 3•x + x = 6•x + 5

One solution;

2•x + 9 + 3•x + x = 5•x + 9

Infinitely many solutions;

2•x + 9 + 3•x + x = 6•x + 9

The types of solutions of a system of equations are; no solution, infinitely many solutions, one solution

The given expression is; 2•x + 9 + 3•x + x

The above expression when given as the right hand side of an equation gives;

No solution;

A situation where the right and left hand side of an equation has no solution is where they form lines that do not meet or intersect.

Two lines do not meet when they are parallel, that is when their slopes are the same and however, their y–intercepts are different

Which gives;

Simplifying the expression on the right into the form, m•x + c, where m represents the slope, gives;

2•x + 9 + 3•x + x = 6•x + 9

An expression that can be written on the left that is parallel but does not intersect with the graph of the expression on the left is therefore; 6•x + 5

The first equation is therefore;

No solution;

One solution;

When the equation has one solution it means that the straight line graphs of the left and right sides intersect once.

Therefore, the lines are not parallel and therefore, the slopes are different, which gives the expression on the right as follows;

Infinitely many solutions;

When two equations have infinitely many solutions, we have that the equations meet at infinitely many points, such that the equations are essentially the same, which gives the correct option as follows;

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The equation of the line in slope intercept form is; y = 9x/4 - 37/4.

For the given question;

The equation of the parallel line is given as;

9x - 4y = 7

Find the slope of the equation by comparing the equation with the standard form.

4y = 9x - 7

y = 9x/4 -7/4

Slope = m = 9/4

As, the line is parallel to the line passing from the point (5, -2).

Thus, the slope of both lines will be equal.

The equation in slope intercept form is found using,

y - y1 = m(x - x1)

y + 2 = (9/4)(x - 5)

Solving,

y = 9x/4 - 37/4

Where, slope is 9/4 and y-intercept is -37/4.

Thus, the equation of the line in slope intercept form is; y = 9x/4 - 37/4.

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This paragraph's counterclaim is undermined by the following evidence: Some states have already enacted online privacy laws.

What is counterclaim evidence?

As a result of this and based on the snippet provided, it is clear that the assertion that certain states have passed online privacy regulations undermines the counterclaim of the paragraph.

This is due to Internet users' privacy is allegedly being violated, and there are no regulations in place to defend people's rights to online privacy.

This paragraph's counterclaim is undermined by the following evidence: Some states have already enacted online privacy laws.

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The correct value of x will be 9 as it is alternate angles which are equal  so 4x+2=7x-25 for the given set of intersecting lines.

An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

When a transversal intersects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar.

Here,

4x+2=7x-25

3x=27

x=9

The value of x would be 9 and the value of angle is 38°.

Given that the alternate angles are equal, 4x+2=7x-25 for the given set of intersecting lines, the proper value of x will be 9.

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As per the unitary method, the number of matches did India play is 20.

Unitary method:

Unitary method is the method in which we first find the value of a unit quantity and then use it to find the value of any required quantity.

Given,

Indian cricket team won 4 more matches than it lost with New Zealand.

Consider If it won 3/5 of its matches, then we need to find the number of matches did it played.

Let us consider the number of matches lost = x

Number of matches won = x + 4

Therefore, the total matches played

=> x + x +4

=> 2x + 4

So, we know that, it won 3/5 th of the matches,

Then it can be written as,

=> x + 4 = 3/5 (2x +4)

Cross multiply it,

=> 5(x + 4)  = 3(2x + 4)

=> 5x + 20 = 6x + 12

=> x - 8 =0

=> x = 8

Then the total number of matches played by India is,

=> 2(8) + 4

=> 16 + 4

=> 20.

Therefore, 20 matches are played by India.

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AJ, this is the solution to the exercise:

Applying one of the exponents property, we have:

(2^2t

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Answer:

give me the details then I might be able to actually answer it -_-

Step-by-step explanation:

we have that

1.5 meters represents 100%

so

Applying proportion

Find out how much percentage represents the difference (1.53-1.50=0.03 m)

100/1.5=x/0.03

solve for x

x=(100/1.5)*0.03

x=2%

therefore

The value of the missing length √5

What Pythagoras Theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given,

Hypotenuse = 3cm

One side = 2cm

Let the one side given be Base

Then, base = 2cm

Now, by Pythagoras Theorem we can find out the missing length or Perpendicular of the triangle

By Pythagoras Theorem:

H² = P² + B²

If we have to find perpendicular then,

P² = H² - B²

or,

P = √H² - B²

Putting the values we get,

P = √(3)² - (2)²

P = √(9 - 4)

P = √(5)

P = √5

Hence, The missing length of the triangle is √5

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The expression of the possible values of the number is x < 16

The statement is given as

Eight less than four times a number is less than 56.

Rewrite the statement as an expression

So, we have

4 * number - 8 is less than 56

Represent the number with x

So, we have

4 *  x - 8 is less than 56

This gives

4 *  x - 8 <  56

Add 8 to all sides

4 *  x <  64

Divide both sides by 4

So, we have

x < 16

Hence, the number is all numbers less than 16

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The rule of the rotation to the right is a rotation by 90° clockwise about the origin.

We need to describe the rule of the rotation to the right.

A figure and its rotation keep the same shape and size but face in a new direction. A figure can be rotated in either a clockwise or counterclockwise direction. The angle of rotation is the measure of how far a figure is rotated about its centre of rotation. The angle of rotation is often expressed in degrees. We specify the rotation's degree measure and direction.

If the rotation is applied to the right, it means a rotation of 90° in a clockwise direction about the origin.

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Answer:

m=-2

Step-by-step explanation:

y=mx+b you have to use (y2-y1)/(x2-x1)

$12500 - 30%

=

$8750

Step-by-step explanation:

10% of $12500 = $1250

10% × 3 = 30% = $1250 × 3 = $3750

30% = $3750

$12500 - $3750 = $8750

Answer:

b is correct.

Step-by-step explanation:

Starting at (-2, -3), go 4 units up and then 5 units to the right. You will end up at (3, 1).

Answer: 36x^2y^2 - 25

Step-by-step explanation:

(6xy-5)(6xy+5)​=

(6xy*6xy)+(6xy*5)+(6xy*(-5))+(-5*5)=

36x^2y^2 + 30xy + (-30xy) + (-25)=

36x^2y^2 + (-25)=36x^2y^2 - 25

Answer:

[tex]\bf36x^2y^2-25[/tex]

Step-by-step explanation:

[tex]\boxed{\displaystyle\\(a-b)(a+b)=a^2-b^2}\\\\(6xy-5)(6xy+5)=(6xy)^2-5^2=36x^2y^2-25[/tex]

The function at x = -2 has a value of -1

The graph represents the given parameter

From the question, we understand that:

The graph is a piecewise function

This means that there are breaks in the values represented on the graph

The x value is given as

x = -2

When this value is traced on the graph, we have

When x = -2, y = -1

When x = -2, y = 7

By considering the endpoint values of the domain, we have

When x = -2, y = -1 (inclusive)

When x = -2, y = 7 (not inclusive)

This means that

When x = -2, y = -1

Hence, the value of the function is -1

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Answer: Quadrant 2

Step-by-step explanation: well quadrant 3 is the bottom right corner, and clockwise would put it up a quadrant, which is quadrant 2.

The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9  

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats      

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7  

From the above observations,

The probability that the 10th will be able to sit on his/her original seat

= 7 / 9  

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X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

What is a Binomial Distribution?

The number of successes and failures in a series of n (a finite value) independent trials or experiments is represented by a binomial distribution.

Given that the producer of electronics is aware that 2% of computer processors are faulty, and

The random variable X represents the number of processors it takes to find a bad processor.

X does not constitute a binomial variable in this situation.

In the example above, the amount of failures (processors) is being counted up until the initial success (a malfunctioning processor) is attained.

X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

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The foci of the hyperbola represented by x² - 3y² + 12 = 0 is; (0, -4) and (4, 0)

The general form of equation of a vertical hyperbola is expressed as; (y²/a²) + (x²/b²) = 1

Some of the properties of a vertical hyperbola are;

We are given the equation of the hyperbola as;

x² - 3y² + 12 = 0

Converting this equation to the general form of a vertical hyperbola, we have; x² - 3y² = -12

Divide through by -12 to get;

(y²/4) - (x²/12) = 1

From the general form, we can say that;

a² = 4

b² = 12

Thus;

Eccentricity; e = [√(a² + b²)]/a = e = [√(4 + 12)]/4

e = 1

Thus, the foci is;

(0, -(4 * 1)) and ((4*1), 0) = (0, -4) and (4, 0)

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Solution:

Given:

The domain is the set of all possible x-values (inputs) that will make the function (output) to be real and defined.

To get the domain of the function given, we need to get the undefined or singularity points.

The domain of the function will exist when;

Hence, the solution to the domain is;

In interval notation, the domain is;

Therefore, the final answer is;

All real numbers except 2 and 4.

each ingredient is multiplied by 24 will need to make an identical recipe that servers 24 people.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of the two numbers, and the factors that are multiplied are referred to as the factors.

according the question

if 2 cups of flour is used for recipe prepared for 1 person.

if you want to prepare the recipe for 24 people it will need 2 X 24 = 48.

so 48 cups of flour is used for recipe prepared for 24 people.

Hence, each ingredient is multiplied by 24 will need to make an identical recipe that servers 24 people.

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Answer:

true

Step-by-step explanation:

Answer:204.2

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

1) Make the divisor a whole number by moving the decimal point.

[tex]505 \sqrt{4.04} [/tex]

2) Move the decimal point in the dividend the same number of places.

[tex] 505\sqrt{40.4} [/tex]

3) Divide

[tex]505 \sqrt{40.4} = 12.5[/tex]

4) Line up decimal point in the quotient with decimal point in the dividend.

[tex]4.04 \div 50.5 = 40.4 \div 505 = 0.08[/tex]

The equation of the line with slope -3/4 and y intercept 9 is y=-3/4x+9.

Based on the conditions formulate:

m=-3/4

and b = 9

Write the equation of the linear function:

y=mx+b

substitute m=-3/4 and b=9 into y=mx+b:

y = -3/4x+9

A line's equation must be in the Slope-Intercept Form, y = mx + b, in order to be graphed using its slope and y-intercept.

This format makes it simple to read off the slope and y-intercept values. The y-intercept is the constant term b, whereas the slope is just the m coefficient of the variable x.

plot the y intercept (0,9) in the xy axis.

Use the slope to locate a different point beginning at the y-intercept. The direction you travel from one point to another is contained in the slope.

Hence the required graph is plotted.

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On simplifying the expression 4(3x + 2) it becomes equivalent to 12x + 8, that is, option D.

Here, we are given an expression- 4(3x + 2)

As we can see the expression has one variable, that is, x and rest all are constants.

Opening up the bracket and multiplying the constant term we get-

4*3x + 4*2

= 12x + 8

Since, only the like terms can be added together, we cannot simplify this expression further as they are not like terms, one is a constant and the other one is a variable.

Thus, we find that on simplifying the expression 4(3x + 2) it becomes equivalent to 12x + 8, that is, option D.

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Your question was incomplete. Check for full content below-

Which expression is equivalent to 4(3x + 2)?

A) 7x + 6

B) 7x + 6

C) 12x + 6

D) 12x + 8