A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?

Answers

Answer 1

The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).

Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).

If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have  (2, 13),(2, 7), and (-6,7).

If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).

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Related Questions

In parallelogram HJKL if JM=19 find ML.

Answers

Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

Are the ratios 2:1 and 11:9 equivalent?

Answers

Answer: No

Step-by-step explanation:

2 is double 1.

Because 11 is not double 9, the ratios are not equivalent.

Hope it helps :)

solve for a?
a
+
-
If a
a
= 2
6 3
=

Answers

4

Step-by-step explanation:

Evaluate. 3⋅23+52−18÷6 need help ASAP

Answers

The required value of the given numerical expression is 118, as evaluated by including the PEMDAS rule in the expression.

What is algebra?

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.

The given numerical expression would be below as:

⇒ 3⋅23 + 52 − 18 ÷ 6

Using the PEMDAS rule in the above expression,

⇒ 3⋅23 + 52 − 18 ÷ 6

Apply the multiplication operation,

⇒ 69 + 52 − 18 ÷ 6

Apply the division operation,

⇒ 69 + 52 − 3

Apply the addition operation,

⇒ 121 − 3

Apply the subtraction operation to get

⇒ 118

Therefore, the evaluated value of the given expression would be 118.

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#SPJ5

A number, n, is divided by -1/3. The product is 6/5 what is the value of n?

Answers

Steps are attached.

Answer =》n = -2/5 = -0.4

______

RainbowSalt2222 ☔

A family buys a studio apartment for $180,000. They pay a down payment of $27,000.
a. Their down payment is what percent of the purchase​ price?
b. What percent of the purchase price would a ​$9,000 down payment​ be

Answers

Answer:

down is $153000 while purchase price is $144000

‏Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me

Answers

Answer is A your right

In my town, gas prices are always listed to the thousandth place. Since the smallest coin we have is the penny, we have to round them to the hundredth place. If the price of gas is $8.162, what will the price be when we round it to the hundredth place?

Answers

When rounded to the hundredths place, the price would be $8.16

Since the hundredths place is where the .06 was, and the preceding was less than 5, it stayed as .06

Evaluate the following expression. 12!

Answers

Answer:479001600

Step-by-step explanation:

12 factorial is 12 * 11 * 10 ..... all the way to one

A way to do it by hand is

12 * 1

11 * 2

10 * 3

9 * 4

8 * 5

7 * 6

stop here because 6 * 7 and 5 *8 are already listed

This gives you 6 products then multiply those 6 products by pairs which gives you three pairs which gives you three products then compute a pair then multiply by last product.

Easy math but a lot of written work

what is the reason for line 3??

Answers

Answer:

SAS similarity

Step-by-step explanation:

LO and LP are proportional to LN and LM, as shown by:

[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]

Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate

???????????????????? :((​

Answers

Step-by-step explanation:

1. Not all rational numbers are whole numbers.  Whole numbers can be rational numbers, if expressed in fraction form.  For example, 1 can be expressed as [tex]\frac{1}{1}[/tex].  A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form [tex]\frac{a}{b}[/tex] , where b ≠ 0.  The reason why b ≠ 0 because division by zero is an undefined mathematical operation.

2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers cannot be expressed in fraction form.

Irrational numbers are a set of numbers for which its decimal representations is neither terminating, nor repeating.  A couple examples of irrational numbers are:  π and [tex]\sqrt{2}[/tex], as their decimal representations do not come to an end and doesn't have a block of repeating digits.

3. All real numbers are rational numbers. Real numbers comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.

If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen​

Answers

Answer:

first 45-6=36 and 36×6=216 the answer is 216

Original price of shorts $53.95 Discount 30% Tax:4.5%

Answers

Answer:157.35

Step-by-step explanation: multiply then add the tax

kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks

_____ is the longest snake.
_____ is ______
millimeters longer than ____


PLSS HELP!!

Answers

Answer:

fluffy is the longest snake.

muffy is 900 millimeters longer than  fluffy

Step-by-step explanation:

PA BRAINLIEST

HOPE ITS HELP

GOD BLESS

PLEASE HELPPPP

Find m∠BXY.

Answers

Answer:

I think 30°

Step-by-step explanation:

Pls make me brainliest plssssssssssssss

Imsureeeeeeee123

36’ thats the answer i dont have tha small circle so i made a better one ;)

Write the equation of the line passing through the points (9,2 ) and (-3, -2)

Answers

Answer:

[tex]y=\frac{1}{3} x-1.[/tex]

Step-by-step explanation:

if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:

[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]

2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:

[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]

or in slope-interception form:

[tex]y=\frac{1}{3} x-1.[/tex]

The additive inverse of [tex]a-b[/tex] is:

A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]

Answers

Additive inverse refers to any number that when added to the original number gives the result as zero.

[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]

Hello, can anyone help with this question?

Answers

Answer:

  C.  x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)

Step-by-step explanation:

You are given y = -x² +4x -3.

For quadratic y = ax² +bx +c,  the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.

The y-intercept is the constant (c), so is -3. That eliminates choice D.

The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.

The only remaining answer choice is the correct one: choice C.

Find two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum.

Answers

The two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

Let the two variables be x and y

If the product of the numbers is 300, hence

xy = 300

x = 300/y ........ 1

If the sum of the first and four times the second is a minimum, then;

P(x, y) = x + 4y .................. 2

Substitute equation 1 into equation 2:

P(x, y) = x + 4y

P(y) = 300/y + 4y

If this function is at mimimum, hence dP/dy = 0

dP/dy = -300/y² + 4 = 0

-300/y² + 4 = 0

-300 + 4y² = 0

4y² = 300

y² = 300/4

y²=   75

y = 7.66

Since xy = 300

x = 300/7.66

x = 39.16

Hence the two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

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For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.

a) x = 4/3, Equation: 3x^2 + 5x - 12=0

b) x=1 + square root 6 , Equation: x^2 - 2x-5=0

c) x= 1 + 2i, Equation: x^2 - 2x+5=0

Answers

a.

The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.

So, 3x² + 5x - 12 = 0

Substituting x = 4/3, we have

3(4/3)² + 5(4/3) - 12

= 3(16/9) + 20/3 - 12

= 16/3 + (20 - 12 × 3)/3

= 16/3 + (20 - 36)/3

= 16/3 - 16/3

= 0

So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

b.

The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x - 5 = 0

Substituting x = 4/3, we have

x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5

= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5

= 1 + 2√6 + 6 - 2 - 2√6) - 5

= 2√6 + 6 + 1 - 2√6) - 5 - 5

= 2√6 + 7 - 2√6) - 7

=  2√6 - 2√6 + 7 - 7

= 0 + 0

= 0

So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

c.

The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x + 5 = 0

Substituting x = 1 + 2i, we have

x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5

= (1² + 2(2i) + (2i)²) - 2 - 4i + 5

= 1 + 4i - 4 - 2 - 4i + 5

=  4i + 1 - 4 - 2 - 4i + 5  

= 4i - 5 - 4i + 5  

= 4i - 4i + 5 - 5

= 0 + 0

= 0

So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

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what is the amount if local tax withheld on this W-2

A) $2294
B) $2340
C) $256
D) 4599

Answers

Step-by-step explanation:

the local tax is B) $2340 thats what i got

A teacher always arranged the content of his lessons as teaching and practicing learnt skills in the ratio 3: 2 If a lesson lasted for 45 minutes. How much teaching would he do?


HELP PLSSS !!!

Answers

Answer:

27 minutes

Step-by-step explanation:

3 + 2 = 5

45 / 5 = 9

3 * 9 : 2 * 9

27 : 18

Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.

Answers

4. EA ≅ MA

In ΔTAE and ΔTAM,

TE = TM (Given)

∠ETA = ∠MTA (Given)

TA = TA (Common)

∴ ΔTAE ≅ ΔTAM

∴ EA = MA

Hope it helps you....

Please mark as brainlliest

Please answer soon 15 points try to include explanation

Answers

Answer:

36 units

Step-by-step explanation:

The segment joining the midpoints of two sides of a triangle is half the length of the third side, then

AC = 2 × 7 = 14

BC = 2 × 5 = 10

AB = 2 × 6 = 12

perimeter of Δ ABC = 14 + 10 + 12 = 36

What is the volume, in cubic inches, of a rectangular prism with a height of 7 inches, a width of 10 inches, and a length of 9 inches?

Answers

Answer:

Step-by-step explanation:

87

Answer:

630 in.³

Step-by-step explanation:

To find the volume of a rectangular prism, you can multiply the height, times the width, times the length. So, let's go ahead and do that with the values of the given prism.

7 × 10 × 9 = 70 × 9 = 630

So, our volume is 630...but not so fast. We also have to put in our units. Our units are inches × inches × inches, or inches³. So our final value is 630 in.³

Hopefully that's helpful! :)

g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?

Answers

By definition of the [tex]\ell_p[/tex] norm,

[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]

[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]

[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]

and so x and y are closest together with p = infinity and furthest apart with p = 1.

a number divided by 5 increased by 4

Answers

Answer:

(n/5)+4

Step-by-step explanation:

I think you were asking for the equation?

Answer:

X/5 + 4

Step-by-step explanation:

X is the “number”

There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?

Answers

Answer:

just figure it out or just search it somewhere on the brainly app for the answer :)

15 POINTS!!!! Can someone simplify this as much as possible? ty!

245 = 50 + 1s

Answers

Step-by-step explanation:

245=50+1s. /-50

195=1s

s=195

A family gathered 20 small sea shells from the beach brining the total number of small seashells in their collection to 41.

Which equation can be used to find, x, the number of small sea shells in the collection before the 20 were added


A:. 20_x =41

B:. x- 21 =41

C:. x + 20 =41

D:. 20x=41





HELPPPP
EXCEPT PT TH 20_x UNDER EACHOTHER PLS​

Answers

Answer:

C, x + 20 = 41

Step-by-step explanation:

X represents the number of small sea shells that we originally had. When the family adds 20 more shells, that makes x + 20. The total number is 41, so that means the number of sea shells they already had (x) plus the number of sea shells they collected (20) equals the number of shells they have now (41).

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