2. is line parallel to line ? choose the best justiication. a. line is parallel to line because triangle is a dilation of triangle by a scale factor of 3 from point . b. line is parallel to line because triangle is a dilation of triangle by a scale factor of 2 from point . c. line is parallel to line because triangle is a dilation of triangle by a scale factor of from point . d. line is not parallel to line because there is no dilation that sends triangle to triangle .

Answer:

1.  Rotation 90° counterclockwise

    (x, y) → (-y, x)

2.  Translation 2 right and 2 down

    (x, y) → (x + 2, y – 2)

3.  Reflection over the x-axis

    (x, y) → (x, -y)

4.  Translation 2 left and 2 up

    (x, y) → (x – 2, y + 2)

Step-by-step explanation:

Translation 2 left and 2 up

To translate (move) a point two units to the left, we subtract 2 from its x-value.  Similarly, to translate (move) a point two units up, we add 2 to its y-value.

Rotation 90° counterclockwise

When rotating a point 90° counterclockwise, the y-value becomes negative, and the x and y switch:

Translation 2 right and 2 down

To translate (move) a point two units to the right, we add 2 to its x-value.  Similarly, to translate (move) a point two units down, we subtract 2 from its y-value.

Reflection over the x-axis

When a point is reflected over the x-axis, the y-value is negated but the x-value stays the same:

The velocity of the object is 21.1 m/s.

We have to note that when we drop the ball from the height, the ball is going to obey the equation of motion that is taking place under gravity. We can now look at the question to obtain the model for the problem.

We can see that in the question, the model of the problem have been given as; v = √19h where h is the height form which it fell. In this case h = 23.4 m

Then;

v = √19 * 23.4

v =21.1 m/s

The velocity of the ball as it falls to the ground is 21.1 m/s.

Learn more about velocity:https://brainly.com/question/18084516

#SPJ1

Answer:

Step-by-step explanation:

Let x be the number of tickets sold before the tournament.

The number of tickets sold on the day of the tournament is x - 150 (since 150 fewer tickets were purchased on the day of the tournament than before the tournament)

The total number of tickets sold is the sum of the number sold before the tournament and on the day of the tournament.

x + (x - 150) = 898

Combining like terms:

2x = 1048

To find the number of tickets sold on the day of the tournament, we need to divide by 2:

x = 1048/2

x = 524

Therefore, 524 tickets were sold before the tournament and x - 150 = 524 - 150 = 374 tickets were sold on the day of the tournament.

Answer:

c its the answer jus did it on edge 2022

Step-by-step explanation:

The equation of the line is y = -5/2x + 5.

1. We know that the equation of a straight line is given by y = mx + c, where m is the slope of the line and c is the y-intercept.

2. We need to find the slope of line l. To find the slope, we can use the formula: m = (y2-y1)/(x2-x1). In this case, we have y2 = 1, y1 = 5, x2 = 2, and x1 = 0. Therefore, m = (1-5)/(2-0) = -4/2 = -2.

3. We now have the slope of line l, so we can find the equation of the line which is parallel to l and which passes through the point (3,0). To do this, we can use the formula y = mx + c, where m is the slope of the line and c is the y-intercept.

4. In this case, m = -2 and c is the y-intercept, which is the point at which the line intersects the y-axis.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer: Let's call the hourly rate of the first mechanic "r1" and the hourly rate of the second mechanic "r2".

We know that the total time they worked is 20 hours + 5 hours = 25 hours.

We also know that the sum of their hourly rates is $95 per hour, so:

r1 + r2 = $95

We can use this information along with the total amount they charged, $1150, to find out how much each mechanic charged. We know that the total amount charged is the product of the number of hours worked and the hourly rate. So we can use the following equation:

(20 hours * r1) + (5 hours * r2) = $1150

Now we can substitute the equation r1 + r2 = $95 into the above equation and solve for r1:

(20 hours * r1) + (5 hours * (95 - r1)) = $1150

20r1 + 475 - 5r1 = 1150

15r1 = 675

r1 = $45/hour

To find out the hourly rate of the second mechanic, we can use the equation r1 + r2 = $95

r2 = $95 - r1

r2 = $95 - $45

r2 = $50/hour

So the first mechanic charges $45 per hour and the second mechanic charges $50 per hour.

Step-by-step explanation:

Answer: height is 5

Step-by-step explanation:

Area of the parallelogram is altitude x height. You divide area (35) by altitude (7) to get 5

The equation that represent this relationship shown in the graph is y = 4.5x having a slope of 4.5

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Let y represent the total amount of cabbage and c represent the number of days

From the graph, Using point (0, 0) and (3, 13.5):

y - 0 = [(13.5 - 0)/(3 - 0)](x - 0)

y = 4.5x

The equation that represent this relationship is y = 4.5x

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

(2, 1 ) is not a solution to the system

Step-by-step explanation:

the solution lies in the shaded region between the 2 lines.

(1, 2 ) lies within this region and is a solution

(0, 4 ) lies within this region and is a solution

(2, 1 ) does not lie inside the region and is therefore not a solution

(1, 5 ) lies within this region and is a solution

Thus

(2, 1 ) is the only point that is not a solution to the system

The approximate solution of the polynomial in the interval -2≤ x ≤-1 is given as follows:

x = -1.5.

The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant divided by the factors of the leading coefficient.

The polynomial for this problem is given as follows:

8x³ + 3x² - 7x + 6.

Hence the leading coefficient and the constant are given as follows:

The factors of the leading coefficient and of the constant are given as follows:

Hence the possible roots are given as follows:

±1, ±2, ±3, ±6, ±0.5, ±1.5, ±0.25, ±0.75, ±0.125, ± 0.375.

The only possible root between -2 and -1 is given as follows:

x = -1.5.

More can be learned about the rational zeros theorem at brainly.com/question/28782380

#SPJ1

With 20 counselors, there should be 250 boys at Laura's summer camp.

To determine how many boys should be at camp with 20 counselors, we can use the proportion of boys to counselors that existed at the camp when there were 200 boys and 16 counselors.

The proportion of boys to counselors when there were 200 boys and 16 counselors is 200/16 = 12.5 boys per counselor.

If we want to know how many boys should be at camp with 20 counselors, we can use this proportion and the number of counselors we have (20) to calculate the number of boys.

To calculate this, we can use the following formula:

Number of boys = (Proportion of boys to counselors) x (Number of counselors)

So for 20 counselors, the number of boys should be:

12.5 x 20 = 250 boys

So with 20 counselors, there should be 250 boys at Laura's summer camp.

To learn more about the Proportion, visit:

brainly.com/question/25938439

#SPJ4

The third side of the right angle triangle is x = 15 ft.

What is right angle triangle?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

We have to find the measure of third side of given right triangle.

The two sides of right triangle are 9 ft and 12 ft.

Let the side of third side is x.

By using the Pythagoras theorem,

(9)^2 + (12)^2 = x^2

       81 + 144 = x^2

             225 = x^2

                  x = 15

Hence, the third side of the right angle triangle is x = 15 ft.

To know more about right angle triangle, click on the link

https://brainly.com/question/1248322

#SPJ1

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

Triangles are polygons because they have four sides or more. Its form is simple and geometric. An angle square with the letters ABC is known as a triangle. When the sides remain not collinear, Euclidean geometry generates a singular plane or square. Having three parts and three corners makes a triangle a polygon. The corners of a triangle are where the three sides meet. Angles in a triangle add up at 180 °.

Here,

Given:

So , the vertices are of unit length :

=> Area of triangle = 1/2 * b*h

=>  Area of triangle = 1/2 *  1 * 0.5

=>  Area of triangle = 0.25 unit square.

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

= 625x^4 + 500x^3 y + 150x^2•y^2 + 20xy^3 + y^4

Step-by-step explanation:

1. Use the Binomial Theorem.
( 5 x ) 4 + 4 ( 5 x ) 3 y + 6 ( 5 x ) 2 y 2 + 4 ( 5 x ) y 3 + y 4

STEPS

Apply the product rule to 5x.
5^4 x^4 + 4(5x)^3y + 6( 5x )^2y^2 + 4(5x)^y3 + y^4

Raise 5 to the power of 4.

625x^4 + 4(5x)^3y + 6(5x)^2y^2 + 4(5x)y^3 + y^4

Apply the product rule to 5x.

625^x^4 + 4( 5^3•x^3) y + 6(5x)^2y^2 + 4(5x)^y^3 + y^4

Raise 5 to the power of 3.

625x^4 + 4(125x^3) y + 6(5x)^2y^2 + 4(5x)y^3 + y^4

Multiply 125 by 4.

625x^4 + 500x^3•y + 6 ( 5 x )^2y^2 + 4(5x) y^3 + y^4

Apply the product rule to 5x.

625x^4 + 500x^3y + 6(5^2• x^2 )y^2 + 4(5x)y^3 + y^4

Raise 5 to the power of 2.
625 x 4 + 500 x 3 y + 6 ( 25 x 2 ) y 2 + 4 ( 5 x ) y 3 + y 4

Multiply 25 by 6.

625 x 4 + 500 x 3 y + 150 x 2 y 2 + 4 ( 5 x ) y 3 + y 4

Multiply 5 by4 .

625 x 4 + 500 x 3 y + 150 x 2 y 2 + 20 x y 3 + y 4

2. Simplify each term.
625x^4 + 500x^3 y + 150x^2•y^2 + 20xy^3 + y^4

The only value that is a solution of the inequality -9> -4+5x is the first one, x = -5.

Here we have the inequality:

-9> -4+5x

And we want to see which of the given values is a solution for that inequality.

The first option is x = -5

Replacing that value we will get:

-9 > -4 + 5*-5

-9 > - 4 - 25

-9 > -29

This is true.

The second option is x = 2

-9> -4+5*2

-9 > -4 + 10

-9 > 6

This is false.

The last option is x = -1

-9 > -4 + 5*-1

-9 > -9

This is false.

Then the only solution is the first one, x = -5.

Learn more about inequalities by reading:

https://brainly.com/question/24372553

#SPJ1

The value of y in the parallelogram is 120^o.

A parallelogram is a plane figure which has opposite sides to be equal. Some of its properties are:

i. Opposite sides are equal in length

ii. It has two diagonals

iii. Sum of adjacent angles is 180^o

The value of y in the diagram can be determined as;

m<ADC + m<DCB = 180^o              (sum of adjacent angles is 180^o)

(x + 8) + 3x = 180

4x = 180 - 8

    = 172

x = 172/ 4

  = 43

x = 43^o

So that;

m<ADC = x + 8

             = 43 + 8

             = 51^o

Therefore,

m<ADC + m<DAB = 180^o

51^o + (y + 9) = 180^o

y + 60 = 180

y = 180 - 60

 = 120

y = 120^o

Learn more about the properties of parallelogram at https://brainly.com/question/23683892

#SPJ1

Answer:

2.56% or 2.6% (to nearest 10th of a %)

Step-by-step explanation:

Percent error is determined by the expression

    [(Measured - Actual)/Actual]*100%

 [16" - 15.6"]/(15.6")*100% = 2.56%

Answer:

Step-by-step explanation:

√2x + 5 = 5

       -5    - 5

√2x = 0

√2x^2=0^2

2x=0

2x/2 = 0/2

[tex]\huge\red{ANSWER}[/tex]

[tex]\sf \sqrt{2} x+5=5[/tex]

[tex]\sf \sqrt{2} x=5-5[/tex]

[tex]\sf \sqrt{2} x = 0[/tex]

[tex]\sf \frac{\sqrt{2} x }{2}=0[/tex]

[tex]\sf x=0[/tex]

________......

[tex]\pmb{ \orange{LearningLifeII}}[/tex]

According to the  management at Oak Tree Golf Course received a few complaints about the condition of the greens. and with the Several players complained that the greens are emerged too fast. Rather than to  react towards  the comments of just a few, the Golf Association conducted in a survey of male and female golfers.

One of the biggest things  in holding  along with mid- and high-handicappers back is hitting more greens in regulation, mainly because  of it’s the key (usually) to stress-free two-putt pars and  to the occasional birdie. It’s also  one of the best way to eliminate certain trouble. If mid- or high-handicappers are missing around the  greens, that’s when problems can pile up into picture . But we all need  certain goals.  to Tina Tombs, a former LPGA pro and to  a GOLF Top 100 Teacher, said a high-handicapper should set an certain  goal at seven greens in regulation, while a lower handicap should be  strive for 10 per round.

If they aren’t carrying any of the 200 yards, then they should play 6,000 or less then that and they don’t do that in terms of the Preisinger says. Because when you wanted to  play too far back you can have four or five penalty shots off  around the tee.

To know more about handicapper , click here:

brainly.com/question/14014951

#SPJ4

The expression (-7*√3)*(11*√10) can be simplified to get:

-77*√30

Here we want to simplify the following expression:

(-7*√3)*(11*√10)

Remember that the square roots are distributive, this means that we can write:

√a*√b = √(a*b)

And also remember that we can perform a sequence of multiplications in any order we want, so we can reorder the factors of our expression

Now let's rewrite our expression:

(-7*√3)*(11*√10)

as:

(-7*11)*(√3*√10)

-77*√(3*10)

-77*√30

That is the expression simplified.

Learn more about algebraic expressions:

https://brainly.com/question/723406

#SPJ1

Answer:

= 1/5

Step-by-step explanation:

The reciprocal number results from dividing the number 1 by the origial number, by example:

Original number:   a

reciprocal number: 1/a

In this case:

original number: 5

reciprocal number: 1/5

Answer:Volume of Pipe Formula. The pipe volume formula is: Volume = pi x radius² x length. To do piping size calculation, follow these steps: Find the inner diameter and length of the pipe, in inches or millimeters. Calculate the inner diameter of the pipe by measuring

Step-by-step explanation:

To make the polynomial monic, divide even by leading term first.

Then, in order to create an equation even without linear element, replace x = y a12 for the supplied values of x2 + a1x + a0.

A monic polynomial in algebra is a univariate polynomial with a single variable and a leading coefficient of 1. Its leading coefficient is the highest degree nonzero coefficient.

x3=y3 and y2=x2+xy+y2.

Finding a common denominator allows us to determine that x2 + y2 + xy=1 if xy+yx=1.

By multiplying by xy:

x2+y2=−xy

move every term to the left:

x2+xy+y2=0

Consequently, x3y3=(xy)(x2+xy+y2)=(xy)

x/y+y/x+1=0

=>(x²+y²+xy)/xy=0/1

=>x²+xy+ y²=0——(1)

Now, Since,x³-y³=(x-y)(x²+xy+y²)

=>x³ -y³=(x-y)(0). [from equation (1)]

=>x³ -y³=0,Ans.

To know more about  the polynomial monic visit:

https://brainly.com/question/30117170

#SPJ4

Calculate the length of the longest side of the triangle use following methods :

Pythagoras theorem : (hypotenuse)² = (Base)² + (altitude)²

Sine rule : AB/sin C = AC / sin B = BC / sin A.

As given in the question,

To find the length of the longest side of a triangle use following methods:

a. Triangle is right angle triangle.

In the right angle triangle ,

Hypotenuse is the longest side.

To find the length of the hypotenuse use Pythagoras theorem:

(Hypotenuse)² = (Base)² + (Altitude)²

b. Triangle is not right angle triangle.

Use sine rule:

AB be the longest side in triangle ABC.

Side opposite to ∠A , ∠B , ∠C in ΔABC are BC, AC,AB respectively.

If measure of angles and other sides are given apply sine rule:

 AB/sin C = AC / sin B = BC / sin A.

Therefore, the measure of the longest side of the triangle is calculated by :

Pythagoras theorem : (hypotenuse)² = (Base)² + (altitude)²

Sine rule : AB/sin C = AC / sin B = BC / sin A.

The above question is incomplete , the complete question is :

How do you find the long side of the triangle?

Learn more about longest side here

brainly.com/question/924178

#SPJ4

The possible values for f and g are -2, 2, -4, 4, -1, 1.

What is inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.

If fg^2 = 32, then either fg = ±4, ±2, or ±1. If f < 20 and g < 20, then the possible values for f and g are:

f = 2, g = 4

f = 4, g = 2

f = 1, g = 4

f = 4, g = 1

f = 2, g = 2

f = 1, g = 1

Hence, the possible values for f and g are -2, 2, -4, 4, -1, 1.

To learn more about inequality visit,

https://brainly.com/question/25275758

#SPJ1

Answer: 4.2

Step-by-step explanation: First, you'd need to re-arrange the decimals so, you can get 4.65.........

Then, you round up to get about 4.7

Another way is to round up the decimals, so your new equation:

[tex]\frac{21}{5}[/tex]

Then, you'd divide to get 4.2. This way is more of an estimate than the 1st way; the 1st way is an exact answer [rounded] I hope this helped.

Answer:

  4.64

Step-by-step explanation:

You want an estimate of the quotient 21.4/4.6.

Multiplication and division by 5 are simplified by the relation ...

  5 = 10/2

Here, the denominator is about 5, so the quotient is about ...

  21.4 × 2/10 = 42.8/10 = 4.28 ≈ 4.3 . . . . . a first estimate; known to be low

We notice that 4.6 is 0.4 less than 5, which is 0.8/10 = 0.08, or 8% less. That means the actual quotient will be on the order of 8% more than 4.3.

A closer estimate would be ...

  4.3 + 0.08 · 4.3 = 4.3 +0.344 ≈ 4.64

An estimate of the quotient is 4.64.

__

Additional comment

To compute our "error correction," we rounded 4.28 up to 4.3, about 2 parts in 400, making that number (4.3) be about 0.5% high. The estimate of 1/0.92 ≈ 1.08 turns out to be about 0.7% low. This means an even better estimate would add 0.2%, or about 0.009, to the estimate we have, making it about 4.653. These second-order corrections are also slightly off. The actual quotient rounds to 4.652.

Doubling a number is so easy that we elected to keep all of the digits of the numerator when we did the division by 5. This gave a more satisfying 4.3 instead of 4 as the first estimate.

According to the unitary method the smallest check they can receive so that both their earnings match is at the time of 2 or 3 hour.

Unitary method in math is known as in which the value of one article is first obtained to find out the value of any required articles

Here we have given that Jake makes $10 dollars an hour and Judy makes $15 dollars an hour.

Let us consider that x be the amount hour did they get the same amount.

Then it can be calculated as,

=> 15x = 10x

While we substitute the value on the x by finding the LCM for each of the  number than we get,

=> 15, 10 = 2,3

To know more about Unitary method here

https://brainly.com/question/28276953

#SPJ4

On solving the provided question, we can say that area of the ellipse equation = [tex]\pi ab[/tex] = 3.14*10*8 = 251.2 cm sq.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

area of an ellipse with equation  = [tex]x^2/100 + y^2/64 = 1\\[/tex]

here, a = 10 and b = 8

area of the ellipse equation = [tex]\pi ab[/tex] = 3.14*10*8 = 251.2 cm sq.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The required number of ways to write 9 as sum of 1, 2, 4 is 96 ways.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1.

Two fours and one one Three numbers must be added up. Any one of the three spaces will accept a one before fours are used to fill the remaining slots. There are thus 3 possible arrangements for these. Thus, there are

1 + 8 + 21 + 6 + 20 + 20 + 5 + 12 + 3 = 96 ways

Thus, there are 96 ways to write 9 as sum of 1, 2, 4.

To know more about Permutation visit:

brainly.com/question/1216161

#SPJ4

Answer: [tex]303^{\circ}[/tex]

Step-by-step explanation:

The point [tex]P[/tex] lies in the fourth quadrant, so the angle is given by [tex]360^{\circ}-\alpha[/tex], where [tex]\alpha[/tex] is the reference angle.

The reference angle is given by [tex]\arctan \left(\frac{\frac{\sqrt{7}}{4}}{\frac{\sqrt{3}}{4}} \right)=\arctan \left(\sqrt{\frac{7}{3}} \right)[/tex].

This means [tex]\theta=360^{\circ}-\arctan \left(\sqrt{\frac{7}{3}}} \right) \approx 303^{\circ}[/tex].

The probability you'll see one over half an hour is 0.26

The term probability in math is defined as  the possibility of the outcome of any random event

Here we have given that the probability you'll see a falling star in the sky over the course of one hour is 0.44.

Then in an hour can be taken as two half hours so we can write the probability to see a falling star as

Then it can be written as,

=> (1-P)*(1-P) = 1 - 0.44

When we simplify this one then we get

=> (1 - P)² = 0.56

Here we need to value of p then it can be written as,

=> 1 - P = √0.56

Then the value of P is calculated as,

=> -P = 0.74 - 1

=> P = 0.26

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4