Triangle LMN is located at L(2,3), M(1,2), and N(4,4). The triangle is then transformed using the rule (x+5, y+2) to form the image L’M’N. What are the new coordinates of L’,M’, and N’?

Answers

Answer 1

using the rule (x+5, y+2) you would add 5 to the x value and 2 to the y value so the answer would be L' (7,5) M' (6,4) N' (9,6)

Answer 2

Given:- L (2, 3), M (1, 2), and N make up the triangle known as LMN (4, 4). The image L'M'N' is created by first transforming the triangle according to the rule

To Locate:

What are L's, M's, and N's new coordinates?

Solution:-

Rule for Points = (x + 2) on the x-axis.

Thus, the new x-points axis's are as follows:

L' = 2 + 5 = 7

M' = 1 + 5 = 6

N' = 4 + 5 = 9 .

and, Rule for y - axis Points = (y + 2) .

Therefore, New y - axis points of new ∆ are :-

L' = 3 + 2 = 5

M' = 2 + 2 = 4

N' = 4 + 2 = 6 .

Hence, New coordinates of L', M', and N' :-

L' = (7 , 5)

M' = (6, 4)

N' = (9, 6)

Find out more:

show that the point of trisection for the line connecting the points (-5,12) and (-1,12) is the midpoint of the line connecting the...

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Related Questions

23: keith is driving from reno to kansas city to meet his girlfriend. the distance between the two cities is 1,650 miles. if keith can average 50 miles per hour, how many hours will it take him to complete his trip?

Answers

divide total miles by speed

1650 / 50 = 33

it will take 33 hours

With nothing but nick and pennies in his pocket , Rupert can afford 77 cents worth of candy. If he has 21 coins in his pocket how many coins does he have of each type

Answers

14 nickles and 7 pennies

He has 14 nickles and 7 pennies

The metric system is easy to use because it is based on units of ten. how many centimeters are there in 100 meters?

Answers

The answer is: " 10,000 cm " .
_________________________________________________
Note: 100 cm = 1 m (exact measurement); in which:

"cm" = centimeter(s) ;
"m" = meter(s) ;
_________________________________________________
100 m = ? cm ?

100 m * (100 cm / 1 m) = __?__ cm ;

The units of "m" cancel out; and we have:

(100)* (100 cm) = 10,000 cm .
_______________________________________

Find quadratic equation from 3 points calculator

Answers

Given the points P(-2, 7), Q(6, 8) and R(-1, -3), we find the quadratic equation of the form [tex]y=ax^2+bx+c[/tex] as follows:

Step 1:
We check to make sure that no pair of points is colinear (i.e. lie on the same line) by making that the slopes of the combinations of the line are not equal.

Slope of PQ = [tex] \frac{8-7}{6-(-2)} = \frac{1}{8} [/tex]
Slope of PR = [tex] \frac{-3-7}{-1-(-2)} = \frac{-10}{1} =-10[/tex]
Slope of QR = [tex] \frac{-3-8}{-1-6} = \frac{-11}{-7} = \frac{11}{7} [/tex]

Since, the slope of the lines are not equal, thus the points are not colinear nor parallel.

Step 2:
Substitute the x-values and the y-values of the given points into the quadratic equation formular to have three system of equations as follows:

[tex]a(-2)^2+b(-2)+c=7\Rightarrow 4a-2b+c=7 \ .\ .\ .\ (1) \\ \\ a(6)^2+b(6)+c=8\Rightarrow36a+6b+c=8\ .\ .\ .\ (2) \\ \\ a(-1)^2+b(-1)+c=-3\Rightarrow a-b+c=-3\ .\ .\ .\ (3)[/tex]

Step 3:
We solve the system of equations as follows:
[tex]\left[\begin{array}{ccccc}4&-2&1&|&7\\36&6&1&|&8\\1&-1&1&|&-3\end{array}\right] \ \ \ R_1\leftrightarrow R_3 \\ \\ \left[\begin{array}{ccccc}1&-1&1&|&-3\\36&6&1&|&8\\4&-2&1&|&7\end{array}\right] \ \ \ {{-36R_1+R_2\rightarrow R_2} \atop {-4R_1+R_3\rightarrow R_3}} \\ \\ \left[\begin{array}{ccccc}1&-1&1&|&-3\\0&42&-35&|&116\\0&2&-3&|&19\end{array}\right] \ \ \ R_2\leftrightarrow R_3[/tex]

[tex]\left[\begin{array}{ccccc}1&-1&1&|&-3\\0&2&-3&|&19\\0&42&-35&|&116\end{array}\right] \ \ \ \frac{1}{2} R_2\leftrightarrow R_2 \\ \\ \left[\begin{array}{ccccc}1&-1&1&|&-3\\0&1&\frac{-3}{2}&|&\frac{19}{2}\\0&42&-35&|&116\end{array}\right] \ \ \ {{R_1+R_2\rightarrow R_1} \atop {-42R_2+R_3\rightarrow R_3}} \\ \\ \left[\begin{array}{ccccc}1&0&\frac{-1}{2}&|&\frac{13}{2}\\0&1&\frac{-3}{2}&|&\frac{19}{2}\\0&0&28&|&-283\end{array}\right] \ \ \ \frac{1}{28} R_3\leftrightarrow R_3[/tex]

[tex]\left[\begin{array}{ccccc}1&0&\frac{-1}{2}&|&\frac{13}{2}\\0&1&\frac{-3}{2}&|&\frac{19}{2}\\0&0&1&|&\frac{-283}{28}\end{array}\right] \ \ \ {{\frac{1}{2}R_3+R_1\rightarrow R_1} \atop {\frac{3}{2}R_3+R_2\rightarrow R_2}} \\ \\ \left[\begin{array}{ccccc}1&0&0&|&\frac{81}{56}\\0&1&0&|&\frac{-317}{56}\\0&0&1&|&\frac{-283}{28}\end{array}\right][/tex]

Thus,

[tex]a=\frac{81}{56}; \ \ \ b=\frac{-317}{56}; \ \ \ c=\frac{-283}{28}[/tex]

Therefore, the quadratic equation with the three given points is

[tex]y=\frac{81}{56}x^2-\frac{317}{56}x-\frac{283}{28}[/tex]

Final answer:

To find the quadratic equation from 3 points, use the method of substitution and solve the system of equations. Substituting the given points into the general quadratic equation will result in a system of equations that can be solved for the quadratic equation.

Explanation:

To find the quadratic equation from 3 points, we can use the method of substitution. Let's say the three points are (x1, y1), (x2, y2), and (x3, y3). We can substitute these points into the general quadratic equation, y = ax^2 + bx + c, to get three equations. Solving this system of equations will give us the values of a, b, and c, and thus the quadratic equation.

For example, let's say the three points are (1, 3), (2, 6), and (3, 11). Substituting these points into the general quadratic equation, we get the following equations:

3 = a(1^2) + b(1) + c

6 = a(2^2) + b(2) + c

11 = a(3^2) + b(3) + c

Solving this system of equations will give us the values of a, b, and c, and thus the quadratic equation.

Graph 24x+25=−6y+7 .

Answers

Move all terms to one side, leaving y on the right/left hand side.

24x+25+7= -6y
(24x+32)/-6=y
-3x-16/3=y (not too sure about the mental math here xp)

Knowing this, you know the y-intercept is (0, -16/3), the line is going downwards and you can easily find out another point.

If x= 1,

-3(1)-16/3=y
-9/3-16/3=y
-25/3=y

Ensure that at x=1, your graph passes through -25/3.

Hope I helped :)

An investor wants to complain that the stock market continues to drop. What might they do to the graph shown to try to convince an audience that this is true?
A:) use a smaller range on the vertical scale
B:) use a larger range on the vertical scale
C:) omit numbers on the horizontal scale

Answers

The answer would be B because the taller one graph may seem, the more the drop looks worse.

Answer:

omit numbers on the horizontal scale

Sports a pennant for the sports teams at lincoln high school is in the shape of an isosceles triangle. if the measure of the vertex angle is 18, find the measure of each base angle.

Answers

the base angles are congruent because it's an isosceles triangle the base angles would both equal 81

The measure of each base angle is 81.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

Sports a pennant for the sports teams at lincoln high school is in the shape of an isosceles triangle.

An isosceles triangle is a triangle in which two sides are equal.

Given that the measure of the vertex angle is 18

We need to find the measure of each base angle.

By angle sum property the sum of three angles is 180 degrees.

x+x+18=180

2x+18=180

Subtract 18 from both sides

2x=180-18

2x=162

Divide both sides by 2

x=81

Hence, the measure of each base angle is 81.

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Is this function even, odd, or neither?

Answers

when a function is even, they have symmetry with respect to the y-axis, what does that mean? well, the graph to the right-side of the y-axis is just a mirror image of the graph to the left-side of the y-axis.

when a function is odd, the symmetry is with respect to the origin, meaning, the graph to the right-side of the y-axis, is a mirror image of the one on the left-bottom-upside-down. So, you take a photo of the right-side graph,flip it over the x-axis, and then flip it again over the y-axis.

this one, doesn't show that either.

Help me please thank you (:

Answers

I'd say its C.15. hope this helps^-^

Paulo scored "x" on his first math test, then scored 10 points higher on his second, scored 5 points lower on the third than the second, and scored half as well on the fourth test as the second. if his average for the four tests is 75 points, what did he score on the second test?

Answers

We know that
[tex] \frac{x+(x+10)+(x+10-5)+ \frac{x+10}{2} }{4} = 75 [/tex]

Then we simplify to get this:
[tex] \frac{(3x+15)+ \frac{x+10}{2} }{4} = 75[/tex]

Then we get common denominators and add:
[tex] \frac{ (\frac{6x+30}{2})+ (\frac{x+10}{2}) }{4} = 75[/tex]
[tex] \frac{ \frac{7x+40}{2} }{4} = 75[/tex]

Then reciprocalize the main denominator and simplify:
[tex]\frac{7x+40}{2} * \frac{1}{4} = 75[/tex]
[tex] \frac{7x+40}{8} = 75[/tex]

And then solve for x:
[tex]7x + 40 = 600[/tex]
[tex]7x = 560[/tex]
[tex]x = 80[/tex]

Since he scored ten points higher than x (x is what he earned in the first test), we can add:
[tex]80 +10 = 90[/tex]

So, he got 90 points on his second test.

A line contains the points (34, 12) and (32, 48) .

What is the slope of the line in simplified form?

Answers

Slope formula : y2 - y1 / x2 - x1

( 34 , 12 ) and ( 32 , 48 )

48 - 12 / 32 - 34

36 / - 2

slope = - 18

Answer:

-18

Step-by-step explanation:

What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at any steps

Answers

The side length AB is √(3²+4²) = 5.

Let's split up the shape in a square and a triangle.

If you introduce point E at (5,1) you see a square ABED with area 5*5=25.
What remains is a triangle with straight sides 5 and √((11-5)² + (1--7)²) = 10. So the triangle's area is 5*10/2 = 25.

This means the total area is 25+25=50.

HELP!!

A vendor has 14 balloons for sale: 7 are yellow, 3 are red, and 4 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?

7 over 14
7 over 13
6 over 14
6 over 13

Answers

6 over 13 is the answer because you already took away 1 so that means only 6 yellows and 13 balloons are left.

Answer:

6 over 13

Step-by-step explanation:

its right i took the test

Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. the students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. researchers found that visually impaired students averaged 8.14 hours of sleep, with a standard deviation of 1.78 hours. assume that the number of hours of sleep for these visually impaired students is normally distributed.

Answers

Visually impaired students averaged 8.14 hours of sleep with a standard deviation of 1.78 hours. Average sleep of the students will be 6.36.

What is the solution of the system? Use elimination.
-12x - y = 6
17x + y = 4

A. (-30, 2)
B. (-2, 30)
C. (2, -30)
D. (30, -2)

Answers

Note that if we add each side of the 2 equations, y will cancel out:

-12x-y+(17x+y)=6+4

5x=10

x=2

Substituting x=2 in either of the equations, we find the value of y.

Let's use the first equation:

-12x-y=6

-24-y=6

-y=24+6

-y=30, so y=-30.

Thus, the solution is (2, -30)

Answer: C

Answer:

C: (2, -30)

Step-by-step explanation:

What method would you choose to solve the equation 2x^2-7=9

Answers

Here is one way to solve for x.

Step 1) 2x^2-7=9

Step 2) 2x^2-7+7=9+7

Step 3) 2x^2=16

Step 4) (2x^2)/2=16/2

Step 5) x^2=8

Step 6) sqrt(x^2)=sqrt(8)

Step 7) |x|=sqrt(8)

Step 8) x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

Generally speaking, using a ______ year's history of cash receipts and disbursements will be a satisfactory basis for projecting the future. Part of a year or full year

Answers

the answer is FULL
By collecting full year's history of cash, we could determine the amount of expense that company might need to continue the operation in the future.
This projection is made on the assumption that the company won't make any major change on its way of operation in next year's period.

Generally speaking, using a FULL year's history of cash receipts and disbursements will be a satisfactory basis for projecting the future.

Explanation:

Though a rough projection can be made in half year's data as well, but a good and solid projection can be made using full year's data. Almost all business run for a full year, so its good to project on an yearly basis. Like in this particular year the profits are this much, so we can project that in the next year we can see a higher profit.

Your classmate is unsure about how to use side lengths to determine the type of triangle. How would you explain this to your classmate?

Answers

1) Equilateral Triangles: These triangles have the same side length and same angle for all sides. Knowing this, if the side lengths given are all the same, the triangle will be classified as an equilateral triangle.

2) Isosceles Triangles: These triangles have two sides that have the same side length and one that is not the same. Given this, if the side lengths are all given, the triangle with two same sides are classified as isosceles triangle.

3) Scalene Triangles: These triangles have all sides associated with a different value. If all side lengths are given and they have different values, this triangle would classify as a scalene triangle.

Hope I helped :)

Answer:

First, look at the side lengths a, b, and c, where c is the longest. Then take the sum of a squared and b squared and compare it to c squared. If they are equal, the triangle is a right triangle. If c squared is less than a squared plus b squared, the triangle is acute. If c squared is greater than a squared plus b squared, the triangle is obtuse.

After 2 1/4 h, a chainsaw has used 2 13/16 gal of fuel. How many gallons of fuel did the chainsaw use each hour? Enter your answer as a mixed number in simplest form in the box.

Answers

13/64 hope this helps

Answer:

1 1/4 or 5/4 gallon per hour.

Step-by-step explanation:

Fuel used in 2 1/4 hour = 2 13/16 gallon

Fuel used in 9/4 hour = 45 / 16 gallon

Fuel used in one hour = [tex]\frac{\frac{45}{16}}{\frac{9}{4}}[/tex]

= 5 / 4 gallon per hour = 1 1 /4 gallon per hour

Thus, teh fuel used in each hour is 1 1/4 gallon or 5 / 4 gallon.

Lakshmi has had a checking account for over twenty years and has always gotten money from her bank by cashing a check. She would like a more convenient method of getting cash, without having to visit the bank each time she needs to withdraw money. What type of card would she get. A. Cash card. B. Credit card. C. Debit card. D. Store gift card

Answers

b. debit card a debit card is a combination of and ATM and a checkbook and it is tied to a bank with access to an ATM to access funding..

Lakshi wants a new way of banking. She has been cashing a check at the bank for 20 years to get cash but she wants a more convenient, and modern, way of doing things. The perfect thing for her would be to get a debit card. Since she does not seem to like credit, a debit card would give her access to cash just like her old method. She can continue doing what she did before but in a more convenient manner.

Mary made $126 for 7 hours of work
At the same rate, how much would she make for 18 hours of work?

Answers

She would make $324 for 18 hours of work
126 divided by 7 = 18
18*18 = 324

What is the vertex form of f(x)=x^2+24x+138

Answers

f(x) = x^2 + 24x + 138
f(x) = x^2 + 24x + (24/2)^2 + 138 - (24/2)^2
f(x) = (x+12)^2 - 6

Answer:

(x +12)^2 - 6

Step-by-step explanation:

d/dx x^2 + 24x + 138 = 2x + 24

when 2x + 24 = 0, the gradient = 0

x = -12

f(-12) = -6

therefore we have (x +12)^2 - 6.

Edna brought 4 pies to a party. At the end of the evening 1 and 5/8 pie was left over. How much pie did the guest eat?

Answers

3 and 3/8 ..I think... if I'm wrong please correct me.

Is this the correct way to fill out this deposit slip? (For an assignment) I have yet to put my name and date

Answers

Just make sure to put 1600 in the "Total" area and you're all set!

Which expression is equivalent to 5 . 4 × 0 . 18 5.4×0.18?
A. ( 54 × 18 ) × ( 1 10 × 1 100 ) (54×18)×(110×1100)
B. ( 54 × 18 ) × ( 1 10 × 1 10 ) (54×18)×(110×110)
C. ( 5 . 4 × 0 . 18 ) × ( 1 10 × 1 10 ) (5.4×0.18)×(110×110)
D. ( 5 . 4 × 0 . 18 ) × ( 1 10 × 1 100 )

Answers

The correct answer to the above question is, without any doubt, answer D. The two terms only differ in where the powers of ten are multiplied in the term. The actual values (5.4 and 18) that determine the overall digits of the result (972) do not change.

Final answer:

5.4 x 0.18 can be expressed as [tex](54 * 18) * (1/10 * 1/10)[/tex], where each 1/10 returns the decimal point stripped from 5.4 and 0.18 initially. So the correct answer is option B.

Explanation:

The appropriate approach to solving this question is by acknowledging how numbers with decimal points function on multiplication. To express 5.4 x 0.18 in another form, we can take the decimal points away and multiply the resultant figures, 54 and 18. Then, we introduce the decimal points back using fractions equivalent to 0.1 and 0.01 (that is, 1/10 and 1/100, respectively). Hence, the correct equivalent is option B: [tex](54 * 18) * (1/10 * 1/10).[/tex] The 1/10 accounts for the decimal in 5.4, and the other 1/10 accounts for the decimal in 0.18.

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The 24 students in Mr. Brown’s homeroom sold 72 magazine subscriptions. The 28 students in Mrs. Garcia‘s homeroom sold 98 magazine subscriptions. Whose homeroom sold more magazine subscriptions per student? Explain your reasoning.

Answers

Mr. brown students sold 3 magazines each while Mrs. Garcia students sold 3.5 magazines each. Mrs. Garcia sold more magazines per student

What is the measure of angle a

Answers

Review the meaning of "straight angles."

Here 110 and A are "straight angles," and so 110 + A = 180 (degrees).

Then A = 70 degrees.

Answer:

m∠A = 70°

Step-by-step explanation:

The given figure is nothing but parallel lines cut by a transversal.

We use property of transversal to find the value of angle A.

Here ∠A and 110° are pair of interior angles on the same side.

The pair of interior angles on the same side add upto 180 degrees.

Therefore, ∠A + 110 = 180

Subtract 110 from both sides, we get

∠A + 110 - 110 = 180 -110

∠A = 70°

m∠A = 70°

what is 13n-6p-11n=2p solve for n

Answers

13n - 6p - 11n = 2p

2n - 6p (+6p) = 2p (+ 6p)

2n/2 = 8p/2

n = 8p/2

hope this helps

If the temperature is 64.4 degrees Fahrenheit, what is the temperature in degrees Celsius?

18
3.8
53.6
58.3

Answers

the answer is 18 degrees

Answer:

[tex]18^{\circ}C[/tex]

Step-by-step explanation:

Given :The temperature is 64.4 degrees Fahrenheit

To Find : What is the temperature in degrees Celsius?

Solution:

The temperature is 64.4 degrees Fahrenheit

To convert in into Celsius

Formula : [tex]T(^{\circ}C) =(T(^{\circ}F)-32) \times \frac{5}{9}[/tex]

Substitute the vale

[tex]T(^{\circ}C) =(64.4-32) \times \frac{5}{9}[/tex]

[tex]T(^{\circ}C) =(32.4) \times \frac{5}{9}[/tex]

[tex]T(^{\circ}C) =18^{\circ}C[/tex]

So, Option A is true

Hence the temperature in degrees Celsius is [tex]18^{\circ}C[/tex]

How many real solutions does the equation have?
r2 – 94 = 0

Answers

Final answer:

The quadratic equation r² – 94 = 0 has two real solutions, as the discriminant is positive when applying the quadratic formula.

Explanation:

The question deals with the quadratic equation r2 – 94 = 0. To determine how many real solutions this equation has, we can rearrange it into the standard quadratic form ar2 + br + c = 0, where a = 1, b = 0, and c = -94. The real solutions of a quadratic equation are found using the quadratic formula, which is r = −b ± √(b2 - 4ac) / (2a). In this case, the discriminant (b2 – 4ac) becomes (02 – 4(1)(-94)) which simplifies to 376. This expression is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 1, b = 0, and c = -94. To find the number of real solutions, we need to determine the discriminant, which is given by the formula: discriminant = b² - 4ac. If the discriminant is greater than zero, the equation has two real solutions. If the discriminant is equal to zero, the equation has one real solution. If the discriminant is less than zero, the equation has no real solutions. In this case, the discriminant is: 0 - 4(1)(-94) = 376. Since the discriminant is greater than zero, the equation r² - 94 = 0 has two real solutions. Since the discriminant is positive, this equation has two real solutions.

Final answer:

The equation has two real solutions.

Explanation:

This expression is a quadratic equation of the form where the constants are To find the number of real solutions, we can use the discriminant, which is given by . If Δ > 0, there are two real solutions. If Δ = 0, there is one real solution. If Δ < 0, there are no real solutions. Let's calculate the discriminant:

Δ = 0² - 4(1)(-94) = 376

Since Δ > 0, the equation has

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