Mathematics College

use matrices to determine the coordinates of the vertices of the translated figure. Triangle DEF with vertex matrix [7 -9 -1 -7 -3 -7] translated 1 unites left and 4 units down.

Answers

Answer 1

Answer:

(6, -11), (-10, -7) and (-2, -11)

Step-by-step explanation:

Coordinates of a triangle are represented in the form of a matrix as,

[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}[/tex]

If the given triangle is shifted by 1 unit left and 4 units down,

Translation of vertices in the matrix form will be,

[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]

For a triangle having vertices (7, -7), (-9, -3) and (-1, -7) when shifted 1 units left and 4 units down will be,

[tex]\begin{bmatrix}7 & -9 & -1\\ -7 & -3 & -7\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]

= [tex]\begin{bmatrix}7-1 & -9-1 & -1-1\\ -7-4 & -3-4 & -7-4\end{bmatrix}[/tex]

= [tex]\begin{bmatrix}6 & -10 & -2\\ -11 & -7 & -11\end{bmatrix}[/tex]

Coordinates of the triangle after the translation will be,

(6, -11), (-10, -7) and (-2, -11)

Related Questions

Help meeee it's math ::Simplify an expression for the perimeter of the rectangle shown

Answers

8.6x + 3 + 8.6+3 =. 17.2x + 6

5.2+5.2= 10.4

17.2x + 6 = 10.4

A rental car agency charges a flat fee of $32.00 plus $3.00 per day to rent a certain car. Another agency charges a fee of $30.50 plus $3.25 per day to rent the same car.

Answers

Answer:

a rental car agency charges a flat rate fee of $32.00 plus $3.00 per day to rent a certain car

c = 32 + 3d

another agency charges a fee of $30.50 plus $3.25 per day to rent the same car

c = 30.50 + 3.25d

the number of days for which the cost are the same means

32 + 3d = 30.50 + 3.25d

by solving we find d = 6 days

how can I do this someone explain me

Answers

Answer: Converse: If the candy has 350 calories, the candy is chocolate, False. There is another 350 calorie candy.

Inverse: If the candy does not have 350 calories, the candy is not chocolate. True In this case, the evidence in the chart supports this. The inverse is not always true.

Contrapositive: If the candy does not have 350 calories, the candy is not chocolate. True The evidence in the chart supports this statement, and the Contrapositive is generally considered a logical equivalent of the original.

Step-by-step explanation:

You need to have a basic frame for converting the original statement to the other forms such as

Original: If P, then Q

Converse: If Q, then P Just reverse the parts

Inverse: If not P then not Q In the same order, make both negative, add "not"

Contrapositive: If not Q then not P Reverse the order of the original and make both negative.

HELP!!!!! WILL MARK BRAINLIEST 10 POINTS

Answers

Josh is incorrect, he did not examine the expression correctly, therefore his answer was wrong.

Find the inverse:
[
0 8
-1 -5

Answers

Answer:

Hi there!

Your answer is:

D: [ -5 -8

1 0 ]

Step-by-step explanation:

To find the inverse of a 2x2 matrix: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc)

Given: PS=RT, PQ=ST
Prove: QS=RS

Answers

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

the price of a bookcase including 8% sales tax is $378 what is the price of the bookcase before sales tax

Answers

Answer:

$347.76

Step-by-step explanation:

sales tax= $30.24

378 - 30.24 = 347.76

NEED HELP!!!!!!!!!!!!!!!!

Answers

Answer:

1=4 being the co interior angle

2=3 being the opposite angle

Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice?

Answers

Answer:

Step-by-step explanation:

Answer:

That would be 62.5%

Step-by-step explanation:

That's what I put and it said it was right...

lester hears a strange noise from the house across the street. he Lester hears a strange noise from the house across the street he hurries back into the house and watches from the window. which character trait best describes lester?

blondness

cautiousness

lack of curiasody

kindness

Answers

Answer:

cautousness because he is aware of his surroundings

8) Your sister also tries to make a cake for her mom. The recipe requires 3 3/5
cups of flour. If she only wants 3/4 of the recipe, how many cups of flour should
she use to make the cake?

Answers

Answer:

2.7 cups of flour

Step-by-step explanation:

75% of 3.6 is 2.7

If you make a copy of a puzzle peice using a scale factor of 0.2 will the copy be larger smaller or the same size

Answers

Answer:

sMaLlEr (not sure so sorry please don't hate me dude or dudett

A line passes through the point (-6,4) and has a slope of 3/2. Write an equation in point slope form for this line.

Answers

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).

Answer: y=3/2x+13

Step-by-step explanation: y-4=3/2(x-(-6))

y-4=3/2x+9

y=3/2x+13

If Mary spent 58 dollars on dinner and had 36 dollars let over after buying dinner how much did she have before buy her dinner

Answers

Answer: $94

If Mary spent 58 dollars on dinner, and had $36 remaining, we add both.

58 + 36 = 94

The answer is 94, Mary had $94 dollars before she spent it on dinner.

Hope this helps you!

Answer:

Step-by-step explanation:

Which of the following shows 2.736 correctly rounded to the tenths place?

Answers

Answer:

2.7 is the correct answer

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

Marco need to buy some dog food.at the nearest store,3 bags of dog food costs $10.50.How much would Narco spend on 5 bags of dog food?

Answers

Answer:

17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

$10.50÷3 = 3.50

3.50×5 = 17.50

8=2+3d u got to get d. i need this asap

Answers

Answer:

d = 2

Step-by-step explanation:

8 - 2 = 6

6 / 3 = 2

plz mark brainliest

Answer:

d=2

Step-by-step explanation:

Switch the left and right sides

2+3d=8

Rearrange the expression

3d+2=8

Separate the constants and variables

3d=8−2

Add or subtract the numbers

3d=6

divide both sides by 3

3d/3=6/3

d=2

hope it helps :)

Can someone pls help me?!?

Answers

Answer:

288

Step-by-step explanation:

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

simplify 1/2 +1/4 - 1/6

Answers

Answer:

look for the LCM of all the denominators, devide the denominators by the LCM and add the numerators( don't forget the signs ), then add and subtract your answers ( by this time the LCM becomes the denominator and the answer from th subtraction and addition of the numerators becomes the present numerator ), then reduce to lowest term the answer gotten

Multiply
g(x) = x2 + 3x
h(x) = 2x - 2
Find (g* h)(2)

Answers

Answer:

Step-by-step explanation:

At first, (goh)(x)= g{h(x)}

= g{2x-2}

={2x-2}^2 +3x

[tex] = 4 {x}^{2} - 8x + 4 + 3x \\ = 4 {x}^{2} - 5x + 4 \\ then \: \:(goh)(2) = 4 \times {2}^{2} - 5 \times 2 + 4 \\ = 16 - 10 + 4 \\ = 10[/tex]

hope u got it.....

please give the answer to this

Answers

Answer:

l;k

Step-by-step explanation:

qwdefr

Answer:

a= -7, b= 4

Step-by-step explanation:

Please see the attached picture for the full solution.

Given m|n, find the value of x.
(3x+5)*(x-25)

Answers

the square root of 24 in the answer

are there answer choices?

Answer:

-31.5

step-by-step explanation

For the equation y=3x+2 if we were to add 7 What effect would it help on the equation.

Answers

The Y-intercept would be 9 but the gradient would still be the same. Hope that this helps.

It would be 9 for the Y intercept

Please help thank you!

Answers

Answer:

Elimination

Step-by-step explanation:

You can just multiply the bottom equation by 2 and it would cancelled out the ys.

Answer:

Elimination

Step-by-step explanation:

It is elimination because when you eliminate you are adding or subtracting to get one variable. For example, you would do 10y-5y= 5y and 14 + 4 = 18

Did this help!?

Which exponential function is the best fit for the data in the table? ( please help! )

Answers

The answer is most likely B or C mostly B though

When a car moves it has.what energy?

Answers

Answer:

mechnical energy

Step-by-step explanation:

How many terms are in the following:
19x - 4y - 2?

Answers

Answer:

Step-by-step explanation:

Just count how many terms are there in the expression

Does anyone know what the answer is?

Answers

Answer:

0.974.

Step-by-step explanation:

You have to use a correlation calculator.

Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experiment. The outcome for each component tested (trial) will be that the component is classified as good or defective. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 1%. Suppose a random sample of five items from a recent shipment is tested.
a. Assume that 1% of the shipment is defective. Compute the probability that no items in the sample are defective.

b. Assume that 1% of the shipment is defective. Compute the probability that exactly one item in the sample is defective.

c. What is the probability of observing one or more defective items in the sample if 1% of the shipment is defective?

d. Would you feel comfortable accepting the shipment if one item was found to be defective? Why or why not?

Answers

Answer:

A. 0.9510

B. 0.0480

C. 0.0490

D. No, I would not feel comfortable accepting the shipment if one item was found defective, because the probability is quite small to obtain 1 or more defective items.

Evaluate y5 for y =1.

Answers

Answer:

the answer is 5

Step-by-step explanation:

you replace y by 1 and distribute (1)5

Other Questions

What is the District of Columbia and where is it located? The implied powers of Congressare suggested but not stated in the Constitution.can change laws that are declared unconstitutional.are shared with the Supreme Court.legislate the activities of the Supreme Court. Rewrite each sentence using correct punctuation.1. Ms. Randle arrived around noon Mr. Randle came later. Meme 80 points! :D good boi f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 units downward. How did the differences between the eastern and western portions of the Roman Empire arise? What is the independent variable? what is the scientific method?A) the process of proving a theory B) a way of analyzing dataC) a method of testing an idea D) the steps required to form a hypothesis PLEASE HELP!!!!!! In the space provided, explain how the meaning of the following words has changed over time. Identify both the 1611 meaning and present meaning of each word. Your response should be 46 sentences in length.1. conversation2. peculiar3. corn People refuse to recognize the danger of ear buds because they simply love their ear buds too much to give them up. Ear buds are probably doing serious physical damage to their inner eardrums or even the brain itself, but apparently that doesnt bother anyone. I shudder to think of what the future will be like if we continue on the path of ear bud slavery were traveling. Next time youre tempted to plug in and tune out, remember my warning. Either we learn to live without ear buds, or were going to turn into a nation of complete zombies. Is that where you want to live?The author concludes that because of the dangers ear buds present, they should be tossed into the trash or, at least, never used. What would be a more moderate conclusion for him to make?A) that all ear buds be destroyed immediately B) that only live music be legal, and all other forms outlawed C) that all music be banned from being played at any large, social event D) that people learn to use their ear buds safely, without endangering themselves or others Do you think that in the human species, there are psychological traits such as empathy, aggression, intellect, imagination, etc. are more common characteristics of one sex rather than another? what is the solution for x in the equation -2x+14+10x=34A. x=6 B. x=1/8C. x=5/2D. x=2/5 DRIVERS EDYou are the passenger in a truck that approaches a flashing red railroad signal. The driver looks at you and says, "Dare me to drive around this gate before thetrain comes?" What would be your advice to the driver if you want to get to your destination safely?Yeah! Go for it, you can beat the train!Sure, go ahead, the train doesn't seem to moving that fast anywayYou need to start slowing down, it's dangerous and illegal to drive around or under an active crossing gate. The word "myth" is used for all of the following purposes EXCEPT toA.emphasize the false logic to which many white Americans subscribe regarding AfricanAmericansB. serve as the foundation for his supporting evidence in this sectionC establish ethos and show that Baldwin is an unbiased commentatorDsuggest that white Americans have a childlike desire to believe false stories over harshrealitiesE suggest that American history is not educational because most accounts have beenmythologized What was the effect of the Nineteenth Amendment?A. It outlawed the poll tax.B. It granted African Americans the right to vote.C. It granted women the right to vote.D. It outlawed the grandfather clause. Twice a number plus four equals six Goran rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 71 cents for each mile driven. Goran had to pay$228.98 when he returned the truck. For how many miles did he drive the truck? 2. What is the pH of the following solutions?2.1. 50 mmol.dm solution of Ba(OH)2 how do you adjust with your growing intellectual abilities and develop critical thinking skills? I need help quick!!!

use matrices to determine the coordinates of the vertices of the translated figure. Triangle DEF with vertex matrix [7 -9 -1 ￼-7 -3 -7] translated 1 unites left and 4 units down.

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

use matrices to determine the coordinates of the vertices of the translated figure. Triangle DEF with vertex matrix [7 -9 -1 -7 -3 -7] translated 1 unites left and 4 units down.