ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.

Answers

Answer 1

The slope of B'C' is 1 and it can be determined by using formula of scale factor.

Given that,

ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

We have to determine,

What is the slope of B'C'?

According to the question,

ABC is an isosceles right triangle in which,

Slope of AB = -1

And AB is perpendicular to BC.

When the two lines are perpendicular to each other then,

[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

Length of Line segment A'B'= 1.8 × AB

So, the slope of the two-line Segment that is AB and A'B' are the same.

Slope of A'B'= -1

Length of Line segment C'B'= 1.8 × CB

So, the slope of the two lines that is CB and C'B' are the same.

The slope of B'C' is 1.

Hence, The required slope of B'C' is 1.

For more details Slope refer to the link given below.

https://brainly.com/question/8102490

Answer 2

Answer:

Slope of 1

Step-by-step explanation:

C.  1


Related Questions

the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons​

Answers

The atom's place on the table is determined solely by its number of protons

A periodic table is a table containing different elements and arranged across the periods and groups of the table.

The elements in a periodic table are numbered and arranged based on their atomic number.

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

Learn more about periodic table here;https://brainly.com/question/14514242

Answer:

number of protons

Step-by-step explanation:

Using Pythagoras, find the lengths of the sides labelled with letters.

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Answer:

Step-by-step explanation:

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

Simplify.

(–12x) ÷ (–2)


6x


12x


3x


112x

Answers

hope this helps. leave a comment if you have a question.

Hello there!

Question:-

[tex]( - 12x) ÷ ( - 2)[/tex]

This is an algebraic expression.We need to find the result of it.

Solution:-

[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]

This algebraic expression may be rewritten as:-

[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]

Cancel the minus (-) sign:-

[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]

Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-

[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]

[tex]\sf \longmapsto6x[/tex]

Option A

______________________________________

Henceforth the value of the algebraic expression is:

[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]

Option A is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

is this a function

Find the domain and range

Answers

Answer:

Yes

Domain: 1, -1, 0, -3, 3

Range: 1, -1, 6

Step-by-step explanation:

The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function

a pair of shoes is 80 dollars they are %25 off. how much money is %25 of 80 dollars

Answers

Answer

55$

Step-by-step explanation:

Use the distributive property to rewrite as an expression
5(x+3)

Answers

Answer:

5x+15

Step-by-step explanation:

you mulityply 5*x and 5*3

A rectangle with a width of 4.6 inches has an area of 23 inches squared. What is the length?

Answers

Answer:

length = 5

Step-by-step explanation:

area = length × width

23 = length × 4.6

23 ÷ 4.6 = length

5 = length

Tyee signed up for a streaming music service that costs $6 per month. The service allows Tyee to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Tyee have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs?

Answers

Answer:

Total cost for 10 songs = 6 + [0.75 × 10]

= $13.5

Total cost for ss songs = 6 + [0.75 × ss]

Step-by-step explanation:

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Answer:

we have to know what your element is to help you answer this question

Given f(x) = 3x+5x and g(x) = sqrt x+ 4

find f(g(12))

Answers

Answer:

Below in bold.

Step-by-step explanation:

g(12) = √12 + 4

so f(g(12))

= 3(√12 + 4) + 5(√12 + 4)

=  8(√12 + 4)

= 59.71 to nearest hundredth.

GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?

Answers

Answer:

The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.

==================================================================

Select the first option, have a nice day! :D

Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.

Answers

The description of the intersection of plane A and plane B is line CD

From the question (see attachment for the diagram of both planes), we have the following highlights

Point C is on plane A and plane BPoint D is on plane A and plane B

Both planes meet at the line that joins points C and D.

Hence, the description of the intersection of plane A and plane B is line CD

Read more about planes and lines at:

https://brainly.com/question/13099718

Answer:

The first answer, CD, is correct.

Edg, 2023

(-r-5)-(-2r-4) help me solve pls lol

Answers

answer:

[tex]r - 1[/tex]

Step by step explanation:

Step 1: Distribute

[tex]( - r - 5) - ( - 2r - 4) \\ ( - r - 5) + 2r + 4[/tex]

Step 2: Eliminate redundant parenthesis

[tex]( - r - 5) + 2r + 4 \\ - r - 5 + 2r + 4[/tex]

Step 3: Add numbers

[tex] - 3 \purple{ - 5} + 2r + \purple{4} \\ - r \purple{ - 1} + 2r[/tex]

Step 4:Combine like terms

[tex] \purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1[/tex]

Step 5:Multiply by 1

[tex]1r - 1 \\ r - 1[/tex]

Hopefully it's help

I copy MissJoy2 answer cuz her/his answer is right

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AYYYYY GET IT !!!!

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when using the zero product rule you know at least one of the factors must equal *blank*

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The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0.

Step-by-step explanation:

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Answers

Answer:

V = 87.92 cubic cm

Step-by-step explanation:

V(cyl) = πr²h

V = 3.14(2²)(7)

V = 87.92

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Step-by-step explanation:

Two of the points with the same Y axis have different X values (as stated in answer A)

I need help i don't understand/

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1. A

2. C

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Answer:

1) 1 and 6

2) 110. these are corresponding angles so they are congruent

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Step-by-step explanation:

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A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6

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Okay wait for a moment I’ll give u the answer

4/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
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Answers

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Use long division to find the quotient below.
(10x^3 - 19^2 - 2x + 12) / (2x-3)

Answers

10x³ -19x2-2x+12 ÷(2x-3)
answer:
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A racing track is shaped like an oval. Each time around
the track is 1.2 miles. The total distance for the
race is 480 miles.
What percentage is one lap around the track of
the total race?
(b) How many laps will it take to complete 75% of the
race?

Answers

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

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Hi! Can somebody please help me? I have been stuck on this question for too long now.

Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple. Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2. Explain your findings.

The Set of Pythagorean triples:
x-value Pythagorean Triple
7 (14,48,50)
8 (16,63,65)
9 (18,80,82)
10 (20,99,101)

Answers

Answer:

its 7

Step-by-step explanation:

Are these three side lengths a Pythagorean triple? YES
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Answers

Answer:

Yes

Step-by-step explanation:

5^2 + 5^2 = c^2

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Answer:

NO

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no, it is an acute isosceles triangle

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Answers

The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20

I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.

Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.

name the relationship of these angles

Answers

1) linear pair
2) adjacent
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6) adjacent
7) linear pair
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