triangle ABC is reflected about the line Y equals negative X to give triangle ABC with vertices A (-1, 1), B (-2, -1), C (-1,0). What are the vertices of triangle ABC?

Answers

Answer 1

9514 1404 393

Answer:

A'(-1, 1)B'(1, 2)C'(0, 1)

Step-by-step explanation:

Reflection across the line y = -x is accomplished by the transformation ...

  (x, y) ⇒ (-y, -x)

Then the images of the given points are ...

  A(-1, 1) ⇒ A'(-1, 1) . . . . this point is on the line of reflection, so doesn't move

  B(-2, -1) ⇒ B'(1, 2)

  C(-1, 0) ⇒ C'(0, 1)


Related Questions

How long will it take for a home improvement loan for 22,800to earn interest of 608.00at 8 %ordinary interest

Answers

9514 1404 393

Answer:

  120 days

Step-by-step explanation:

Using the formula for simple interest, we can solve for t:

  I = Prt

  t = I/(Pr) = 608/(22800×.08) = 608/1824 = 1/3 . . . . year

For "ordinary interest", a year is considered to be 360 days, so 1/3 year is ...

  (1/3)(360 days) = 120 days

It will take 120 days for the loan to earn 608 in interest.

Write the equation of the line for the graph shown below, please

Answers

Answer:

Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4

Step-by-step explanation:

To evaluate such, a comprehension of linear Cartesian planes are obligated:

Slopes = rise/run

X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.

Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.

Y- intercept: (4,0)

Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.

*I hope this helps.

For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4

What are the coordinates A’ after 90 counterclockwise rotation about the origin.

Answers

Answer:

the above is the answer

hope this is helpful

The gradient of a straight line passes through points (6,0) and (0,q) is -3/2. Find the value of q​

Answers

Answer:

Step-by-step explanation:

gradient is essentially the slope of a straight line.  

Use (y2-y1)/(x2-x1):

(q-0)/(0-6) = -3/2

q = 9

Which table has a constant of proportionality between y and x equal to 0.3?

Answers

Answer:

C

Step-by-step explanation:

you can divide y/x

1.2/4= 0.3

2.4/8= 0.3

3.9/13= 0.3

2 squared plus b squared equal 256

Answers

Answer:

[tex]2^2+b=256[/tex]

b=252

Step-by-step explanation:

[tex]2^2+b=256[/tex]

4+b=256

b=252

I wasn't very sure about what you are asking, but I hope this helps!

B= 252
Hopes this helps

-Ba+9=Q²a solve for a

Answers

Answer:

[tex]a= \frac{9}{B+Q^2}[/tex]

Step-by-step explanation:

Given;

-Ba+9=Q²a

To solve for "a", make "a" the subject of the formula.

First, collect similar terms together;

-Ba - Q²a = -9

multiply through by "-1" to remove the negative sign;

Ba + Q²a = 9

factor out a;

a(B + Q²) = 9

divide both sides of the equation by "(B + Q²) ";

[tex]\frac{a(B+Q^2)}{B+Q^2} = \frac{9}{B+Q^2} \\\\a = \frac{9}{B+Q^2}[/tex]

Therefore, the value of "a" in the given expression is [tex]\frac{9}{B+Q^2}[/tex]

I have 3 questionssss

∠A and ∠T are supplementary. Given m∠T = (7x+11)° and m∠A = (8x+19)°, what is m∠T?

The other two are in the pics attached! PLS!

Answers

Answer:

<T = 81

x = 10, angle = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Step-by-step explanation:

Supplementary angles add to 180

(7x+11) + (8x+19) = 180

Combine like terms

15x + 30 = 180

Subtract 30 from each side

15x +30-30 = 180-30

15x= 150

Divide by 15

15x/15 = 150/15

x = 10

We want angle T

T = 7x+11 = 7(10)+11 = 70+11 = 81

The two angles add to 90

5x+10 + 30 = 90

Combine like terms

5x+40 = 90

5x+40-40 = 90-40

5x = 50

Divide by 5

5x/5 = 50/5

x=10

5x+10 = 5(10) +10 = 50+10 = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Which statement is true about the slope of the graphed line?

Answers

Answer: positive

Step-by-step explanation: because it is going up from the left to the right


In triangleABC, AC = 15 centimeters, m

Answers

Answer:

16.17 cm

Step-by-step explanation:

The solution triangle attached below :

To obtain BC ; we use the sine rule ;

a/ sin A = b / sin B

A = (180 - (68 + 24))

A = 180 - 92

A = 88°

a / Sin 88 = 15 / sin 68

Cross multiply :

(a * sin 68) = (15 * sin 88)

a = 14.990862 / sin 68

a = 16.168165

a = 16.168 cm

the expectation students often have when doing the coin flip experiment is that thye will flip exactly 5 heads and 5 tails because there is 50% chance of flipping each. Is this a realistic expectation

Answers

Answer:

No

Explanation:

A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.

Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? ​please give answer in step by step explaination​

Answers

Ravi earns per month=Rs4300Spends=80%

Saving percentage=100-80=20%

Saving amount:-

[tex]\\ \sf\longmapsto 4300\times 20\%[/tex]

[tex]\\ \sf\longmapsto 4300\times \dfrac{20}{100}[/tex]

[tex]\\ \sf\longmapsto 43\times 20[/tex]

[tex]\\ \sf\longmapsto 860[/tex]

saving per year=Saving per month×12

[tex]\\ \sf\longmapsto 12\times 860[/tex]

[tex]\\ \sf\longmapsto Rs10320[/tex]

Step-by-step explanation:

i think this will be help you

HELP FAST PLEASE!!!!!! Name the marked angle in 2 different ways.

Answers

Answer:

you forgot to add an image I dont know what angles your talking about

Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running?

Answers

Answer:

12.5 mph and 7.5 mph

Step-by-step explanation:

Tom's speed = xCarl's speed = y

We have:

x = y + 5(x + y)*10 = 200

Substitute x and solve for y:

(y + y + 5)*10 = 2002y + 5 = 202y = 15y = 7.5

Find x:

x = 7.5 + 5 = 12.5

Tom's speed is 12.5 mph

Carl's speed is 7.5 mph

Toms speed be a and Carl's speed be b

Now

a=b+510(a+b)=200

From eq(2)

a+b=20

From eq(1)

a-b=5

Adding these recent two

2a=25a=12.5mph

Putting in eq(1)

b=a-5b=12.5-5b=7.5mph

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
PLS HELP IM TIMED

Answers

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

please answer quickly!! and no links please!

Answers

Step-by-step explanation:

here are the answers for your problems

I need help with this​

Answers

Answer: 13.5 Okay! Here's the method count the legs of the right triangle

The formula we'll use will be

A^2 + B^2 = C^2

In this case we're counting by twos

The base is 11 so we times it by itself =110

The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----

182.25

Then you have got ur answer of 13.5

Step-by-step explanation:

If in 1 month you can make 6 carpets, how many days will it take for making 10 carpets?

Si en 1 mes puedes hacer 6 alfombras, ¿cuántos días se necesitarán para hacer 10 alfombras?

Answers

Step-by-step explanation:

6 carpets=1month

10 carpets=?

1month=31 days

10 /6*31

51

Step-by-step explanatio

Find m(angle) and give a trig equation

Answers

Step-by-step explanation:

Just using the Pythagoras theorem

How far can you travel in 19 hours at 63 mph

Answers

Answer:

1197 miles.

Step by step explanation:

Speed(s) = 63 mph

Time(t) = 19 hours

Distance(d) = ?

We know,

D = S × T

= 63 × 19

= 1197 miles

Can someone help me

Answers

Answer: Around 38.2°

Step-by-step explanation:

Set ∠A = x & a = 15Set ∠B = 27° & b = 11

Substitute them into the formula for the law of sines:

[tex]\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\[/tex]

Cross-multiply:

[tex]11sinx=15sin27[/tex]

Solve for x:

[tex]sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488[/tex]

Select the correct answer.
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake,
M= log (I/I)
.Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake?

Answers

Answer:

[tex]M = \log(10000)[/tex]

Step-by-step explanation:

Given

[tex]M = \log(\frac{I}{I_o})[/tex]

[tex]I = 10000I_o[/tex] ---- intensity is 10000 times reference earthquake

Required

The resulting equation

We have:

[tex]M = \log(\frac{I}{I_o})[/tex]

Substitute the right values

[tex]M = \log(\frac{10000I_o}{I_o})[/tex]

[tex]M = \log(10000)[/tex]

The equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Since the magnitude of an earthquake on the Richter sscale is M = ㏒(I/I₀) where

I = intensity of eartquake and I₀ = reference earthquake intensity.

Since we require the magnitude when the intensity is 10,000 times the reference intensity, we have that I = 10000I₀.

Magnitude of earthquake

So, substituting these into the equation for M, we have

M = ㏒(I/I₀)

M = ㏒(10000I₀./I₀)

M = ㏒10000

So, the equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Learn more about magnitude of an earthquake here:

https://brainly.com/question/3457285

Solve the equation 10 + y√ = 14

Answers

9514 1404 393

Answer:

  y = 16

Step-by-step explanation:

Perhaps you want to solve ...

  10 +√y = 14

  √y = 4 . . . . . . subtract 10

  y = = 16 . . . square both sides

The expected value of X, E(X) must never be less than zero. True or False.

Answers

Answer:

I think true

Step-by-step explanation:

like and mark brainlist

The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48

Answers

Answer:

How should we proceed with this question

David can receive one of the following two payment streams:

i. 100 at time 0, 200 at time n, and 300 at time 2n
ii. 600 at time 1 0

At an annual effective interest rate of i, the present values of the two streams arc equal. Given v^n = 0.75941.

Determine i.

Answers

Answer:

3.51%

Step-by-step explanation:

From the given information:

For the first stream, the present value can be computed as:

[tex]= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}[/tex]

Present value for the second stream is:

[tex]=\dfrac{600}{(1+i)^{10}}[/tex]

Relating the above two equations together;

[tex]100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}[/tex]

consider [tex]v = \dfrac{1}{1+i}[/tex], Then:

[tex]\implies 100+200v^n + 300v^{2n} = 600 v^{10}[/tex]

where:

[tex]v^n = 0.75941[/tex]

Now;

[tex]\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}[/tex]

[tex](v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}[/tex]

[tex](v)^{10} = 0.7082[/tex]

[tex](v) = \sqrt[10]{0.7082}[/tex]

v = 0.9661

Recall that:

[tex]v = \dfrac{1}{1+i}[/tex]

We can say that:

[tex]\dfrac{1}{1+i} = 0.9661[/tex]

[tex]1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}[/tex]

Solve the following formula for the specified variable:
C = 1/2 e * p for e​

Answers

Given:

The formula is:

[tex]C=\dfrac{1}{2}e\cdot p[/tex]

To find:

The formula for e.

Solution:

We have,

[tex]C=\dfrac{1}{2}e\cdot p[/tex]

Multiply both sides by 2.

[tex]2C=e\cdot p[/tex]

Divide both sides by p.

[tex]\dfrac{2C}{p}=\dfrac{e\cdot p}{p}[/tex]

[tex]\dfrac{2C}{p}=e[/tex]

Interchange the sides.

[tex]e=\dfrac{2C}{p}[/tex]

Therefore, the required formula for e is [tex]e=\dfrac{2C}{p}[/tex].

Help please, don’t understand this

Answers

Answer:

b = -13/3

Step-by-step explanation:

Plug in the 13/3 into the t and then try to solve it. Like this:

(13/3 - 8/3)(13/3 + b) = 0 ---->  5/3(13/3+b) = 0 ----> from here you have to distribute  ---->  65/9 + b = 0 (here you have to subtract from both sides)

b = -65/9 (you could simplified) ---> b = -13/3

Obtain all other zeros of 2 x power 4 - 6 x cube + 3 X square + 3 x minus 2 if two of its zeros are 1\ square root 2 and -1\square root 2​

Answers

-1/2 and -1, 2√2,-2√2

What is the equation of the line that passes through the point (-4, 2) and has a
slope of -2?

Answers

Step-by-step explanation:

use the equation of the straight line

y-y1=m (x-x1)

y-2=-2(x+4)

y-2= -2x-8

y= -2x-8+2

y= -2x-6

I hope this helps

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