Mathematics High School

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are the coordinates of B' after the translation?
a.(1, 6)
b.(–3, 6)
c.(0, 0)
d.(3, 1)

Answers

Answer 1
the coordinates are -3 , 6
Answer 2

Answer:

b. [tex](-3,6)[/tex]

Step-by-step explanation:

We have been given that triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift x-coordinate of point B to left by 3 units and y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

[tex]B(0,5)\rightarrow B'((0-3),(5+1))\rightarrow (-3,6)[/tex]

Therefore, the coordinates of point B' are [tex](-3,6)[/tex] and option 'b' is the correct choice.

Related Questions

The birdwatching club has 27 members, 18 girls and 9 boys. What is the ratio of the girls to boys in the birdwatching club?

Answers

the ratio of the girls to boys in the bird-watching club is 18/9 = 2/1

answer
2/1

How are experimental and theoretical probability alike?

Answers

The probability is still calculated the same way, using the number of possible ways to outcome can occur divided by the total number of outcomes.

Plot the data for the functions f(x) and g(x) on a grid

Answers

The graph (by some miracle) has been uploaded for you. It is just about the first time I've done this sort of thing, and I've answered nearly 800 questions. 

The first thing you have to do is study the graph. The two functions are
f(x) = 4^x That's the curved graph. (in red)
g(x) = x + 4. That's the straight line. (in blue)

You know that the first one is not a linear relationship because the x values go from integer values -2 to 2 (including 0). The y values are a bit different. They go from 1/16 to 16 with those integer values. So you could try y = 4^(-x). It doesn't work, but you could try it. It gives the table numbers for y in the reverse order that the table you are given goes. For x you get -2 -1 0 1 2 and for y you would get 16 4 1 1/4 1/16.

You could try y = (1/4)^x
For this try, you would get x = -2 -1 0 1 2 and for y = 16 4 0 1/4 and 1/16 
but that doesn't work either.

You could try until you get y = 4^x which does work.

g(x) is a lot easier to deal with. It looks better behaved. as x goes up, so does y. You will find that the y values obey y = x + 4. You could try other lines, but that one works. Many times it's just a guess

1 question pleasee i need this asap!! thank you :D

Answers

The correct answer is:  [A]:  " x = 6 " or  " x = - 9 " .
________________________________________________________
Explanation:
________________________________________________________
Given the following equation:
________________________________________________________
   
   " x² + 3x – 54 = 0 " ;  Solve for "x" ; 
_____________________________________________________
Check if the part of the equation on the "left-hand side" can be "factored":

   " x² + 3x – 54 " ; 

→  We see the " + 3x " and the " – 54 "

Factors of " -54 " that add up to " +3" ;

Let us try:  " -9, 6" ;   →  " -9 + 6 = -3 " ;  →  " -3 ≠ +3 ;

Let us try:  " 9, -6" ;   →  " 9 + (-6) = 9 – 6 = 3 " ;   YES!
       →   {that is:  " +9 , -6 "} ; 


So, we can rewrite the entire equation:

→  " (x + 9)(x – 6) = 0 " ;

→  " x = -9 " ;  or,  " x = 6 " ; which is:  

→  Answer choice:  [A]:  " x = 6 "  or  " x = - 9 " .
______________________________________________________

PLEASE HELP ME QUICKLY!!

Answers

Your Answer is correct, because for every rate of change the x-value (-1) is decreasing, and the rate of change f(x)-value (-3) is also decreasing. This gives you a -1/-3 rate of change (slope). Two negatives make a positive therefore the is at a constant rate of change (slope) of 1/3.

Keep in mind unfortunately I am not 100% sure, but this is what I think. Hope this helps a little!

How do you write 230% as a fraction or mixed number in simplest form?

Answers

tha t is  230/100  or 2 3/10

32 deanna bought a shirt that was on sale for 40% off the original price. she also used a coupon that gave her an additional 20% off the sale price of the shirt. the original price of the shirt was $54. what is the new price of the shirt before tax?

Answers

40% + 20% = 60%

60% = 0.60

54 x 0.60 = 32.40

54 - 32.40 = 21.60

the price was $21.60

In the graph below, find the coordinate of the image point, P(3, 0). O is the origin and O,90 is a rotation of 90 degrees about the origin. Rx and Ry are reflections around the x- and y-axes.

Rx O,90: (3,0)

(0, 3)
(-3, 0)
(0, -3)

Answers

The rotation clockwise 90 (O,90) will bring the point (3, 0) to (0, -3)

Answer:

Thus, (3,0) Rx O,90° changes to (0,-3)

Step-by-step explanation:

O is the origin and O,90 is a rotation of 90 degrees about the origin. Rx and Ry are reflections around the x- and y-axes.

Given: Rx  O,90: (3,0)

To determine:

Point P (3,0) rotation about origin (0,0) of 90°

and then Reflection about x-axis.

Rotation of P(x,y) about origin of 90°

P(x,y) changes to P'(y,x)

Therefore, P(3,0) changes to P'(0,3)

Now we take reflection about x-axis

R(x,y) changes to R'(x,-y)

Therefore, P'(0,3) changes to P''(0,-3)

Please see the attachment for both rule.

Thus, (3,0) Rx O,90° changes to (0,-3)

A rocket is launched from atop a 55-foot cliff with an initial velocity of 138 ft/s. a. Substitute the values into the vertical motion formula h = −16t2 + vt + c. Let h = 0. b. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.

Answers

It would take 9 seconds.

Substituting the values into the equation, we have:
 
0 = -16t² + 138t + 55

The quadratic formula is:
[tex]t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Inserting our information we have:
[tex]t=\frac{-138\pm \sqrt{138^2-4(-16)(55)}}{2(-16)} \\ \\=\frac{-138\pm \sqrt{19044--3520}}{-32} \\ \\=\frac{-138\pm \sqrt{19044+3520}}{-32} \\ \\=\frac{-138\pm \sqrt{22564}}{-32} \\ \\=\frac{-138\pm 150}{-32}=\frac{-138+150}{-32}\text{ or } \frac{-138-150}{-32} \\ \\=\frac{12}{-32}\text { or } \frac{288}{32}=-0.375 \text{ or } 9[/tex]

Use the Venn diagram to calculate probabilities.

Which probability is correct?
P(A|B)=1/2
P(B|A)=7/20
P(A|C)=6/23
P(C|A)=13/17

Answers

Answer:  The correct probability is (D) [tex]P(C/A)=\dfrac{13}{17}.[/tex]

Step-by-step explanation:  We are given to select the option that gives the correct probability statements using the Venn-diagram in the figure.

From the figure, we can see that there are three events, A, B and C.

And,

[tex]n(A)=1+6+7+3=17,\\\\n(B)=1+6+4+9=20,\\\\n(C)=6+4+6+7=23,\\\\n(A\cap B)=1+6=7,\\\\n(A\cap C)=6+7=13,\\\\n(B\cap C)=6+4=10,\\\\n(A\cap B\cap C)=6.[/tex]

By the law of SET THEORY, we have

[tex]n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cup B\cup C)=17+20+23-7-13-10+6\\\\\Rightarrow n(A\cup B\cup C)=36.[/tex]

So, the total number of elements in the sample space 'S' will be

n(S) = 36 + 8 = 44.

Therefore,

[tex]P(A/B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\dfrac{n(A\cap B)}{n(S)}}{\dfrac{n(B)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{20}=\dfrac{7}{20},\\\\\\\\P(B/A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\dfrac{n(B\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{17}=\dfrac{7}{17},\\\\\\\\P(A/C)=\dfrac{P(A\cap C)}{P(C)}=\dfrac{\dfrac{n(A\cap C)}{n(S)}}{\dfrac{n(C)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{23}=\dfrac{13}{23},\\\\\\\\P(C/A)=\dfrac{P(C\cap A)}{P(A)}=\dfrac{\dfrac{n(C\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{17}=\dfrac{13}{17}.[/tex]

Thus, the correct probability is [tex]P(C/A)=\dfrac{13}{17}.[/tex]

Option (D) is correct.

The probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

For the value of probability P(A|B):

We know that:

[tex]\rm P(A/B)=\frac{P(A\cap B)}{P(B)} \Rightarrow \frac{\frac{n(A\cap B)}{n(T)} }{\frac{n(B)}{n(T)} }[/tex]

From the Venn diagram:

n(A∩B) = 7, n(B) = 20, n(T) = 44

P(A/B) = (7/44)×44/20)

P(A/B) = 7/20

For P(B|A):

[tex]\rm P(B/A)=\frac{P(B\cap A)}{P(A)} \Rightarrow \frac{\frac{n(B\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]

The values of n(B∩A) = 7, n(A) =17

P(B/A) = (7/44)×(44/17)

P(B/A) = 7/17

For P(A|C):

[tex]\rm P(A/C)=\frac{P(A\cap C)}{P(C)} \Rightarrow \frac{\frac{n(A\cap C)}{n(T)} }{\frac{n(C)}{n(T)} }[/tex]

The value of n(A∩C) = 13, n(C) = 23

P(A/C) = (13/44)×(44/23)

P(A/C) = 13/23

For P(C|A):

[tex]\rm P(C/A)=\frac{P(C\cap A)}{P(A)} \Rightarrow \frac{\frac{n(C\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]

The values of n(C∩A) = 13, n(A) = 17

P(C|A) = (13/44)×(44/17)

P(C|A) =13/17

Thus, the probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ3

a doctor is using a treadmill to assess the strength of a patients heart. he sets the 48 inch long treadmill at an incline of 10 degrees. how high is the treadmill raised

Answers

x / 48 = sin(10)

x = 48* .1736

x = 8.3335

rounds to 8.3" 




sin 1o^0  = h/48

h = 48 sin 10^0

so; h = 8.3 inches; or

8.3 in.



say you have a triangle:

outside = 48

outside = h

inside = 10^0

In this exercise we have to use the knowledge of sine to be able to calculate the triangle values, in this way we can say that:

[tex]h= 8.3[/tex]

So from the values ​​initially given we can describe that the calculation for this triangle will be:

[tex]x / 48 = sin(10)\\ x = 48* .1736\\ x = 8.3335\\ sin 10^0 = h/48\\ h = 48 sin 10^0\\ h = 8.3 inches[/tex]

See more about triangles at brainly.com/question/25813512

Perform the indicated operation. then estimate to see whether the proposed results is reasonable. 11.58 + 11.9 + 9.2
32.68
22.68
33.68
31.68 Preform the indicated operation. Then estimate to see whether the proposed result is reasonable.
93.8 - 6.48
87.32
97.44
87.42
94.34
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9 5.363
52.63
53.62
5.263 Choose the best estimate. 64.1 ÷ 97
641
6.41
0.641
6410 Use estimation to determine whether the result is reasonable or not. 108.93 x 32.6 Result: 355.112 Is it reasonable or not?

Answers

1) 32.68
2) 87.32
3) 52.63
4) 0.641
5) Unreasonable, the decimal point should be moved 1 space to the right.

A quadrilateral has angle measures of 52°, 94°, and 97°.

What is the measure of the fourth angle?

Enter your answer in the box.

Answers

The answer should be 117. Quadrilaterals add up to 360, but you only have 3 measurements, so add them up then subtract from 360 to get the remainder. 52+94+97=243. 360-243=117

A quadrilateral has angle measures of 52°, 94°, and 97°.

What is the measure of the fourth angle?

Enter your answer in the box.

Answer: 117

Step-by-step explanation:

Norma has an A-frame cabin.The back is shown below. How many square feet of paint will she need to cover the back of the cabin?

Answers

I FOUND YOUR FULL QUESTION IN OTHER FUENETES.
 PLEASE SEE ATTACHED IMAGE. 
 For this case what you should do is find the area of the triangle which will be given by:
 A = (1/2) * (b) * (h)
 Where
 b: base
 h: height
 Substituting the values we have:
 A = (1/2) * (25 1/2) * (15)
 A = 191.25 feet ^ 2
 Answer:
 she will need 191.25 feet ^ 2 to cover the back of the cabin

Just a short answer please help :( the top

Answers

26/100 = x/82 I think that's what you want.
26 is to 100 as x is to 82

26/100 = x/82

The center of a circle is at (−2, −7) and its radius is 6.

What is the equation of the circle?


(x−2)2+(y−7)2=36

(x−2)2+(y−7)2=3

(x+2)2+(y+7)2=3

(x+2)2+(y+7)2=36



The equation of a circle is (x+4)2+(y−5)2=121.

What is the center and radius of the circle?


center: (4, −5); radius: 11

center: (−4, 5); radius: 121

center: (−4, 5); radius: 11

center: (−4, −5); radius: 121

Answers

1.) equation of the circle is (x+2)2 + (y+7)2 = 36
2.) center: (-4, 5) radius 11

Answer:

1. option D is correct;  [tex](x+2)^2+(y+7)^2=36[/tex]  

2. option C is correct; center: (-4, 5) and radius = 11 unit

Step-by-step explanation:

The general equation of the circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]                .....[1]

where,

(h, k) is the center of the circle and r is the radius of the circle.

1.

As per the statement:

The center of a circle is at (−2, −7) and its radius is 6.

⇒(h, k) = (-2, -7) and r = 6 units

Substitute these in [1] we have;

[tex](x-(-2))^2+(y-(-7))^2=6^2[/tex]  

⇒[tex](x+2)^2+(y+7)^2=36[/tex]  

Therefore, the equation of circle is, [tex](x+2)^2+(y+7)^2=36[/tex]  

2.

As per the statement:

The equation of a circle is:

[tex](x+4)^2+(y-5)^2 = 121[/tex]

We can write this as:

[tex](x-(-4))^2+(y-5)^2 = 11^2[/tex]

On comparing with equation [1] we have;

(h, k) = (-4, 5) and r = 11 units

Therefore, the center and radius of the circle is,

center: (-4, 5) and radius = 11 unit

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?
A.1/6
B.1/13
C.1/18
D.1/162

Answers

[tex] |\Omega|=6^2=36\\
|A|=\underbrace{2}_{\text{the sum is 3}}+\underbrace{4}_{\text{the sum is 9}}=6\\\\
P(A)=\dfrac{6}{36}=\dfrac{1}{6}\approx17\% [/tex]

What perfect squares divide into 337? I only need two!

Answers

The first perfect square that divides into 337 is
[tex]337 \cdot 337 = 113569[/tex]
A second perfect square that divides into 337 is
[tex]337 \cdot 337 \cdot 2 \cdot 2 = 674\cdot 674 = 454276
[/tex]

show or describe two different ways to complete the comparison using < , > ,or =: 0.26 () 0.4

Answers

0.26 < 0.4
Reason: 0.26 is less than 0.4 which also can be written as 0.40.
The "mouth" points to the bigger number.

TIME SENSITIVE
The range of [tex]y= \frac{4}{5} sinx[/tex] for [tex] \pi \leq x \leq \frac{3 \pi }{2} [/tex] is _____.

Answers

The given range for x is within the third quadrant (180 to 270 degrees). In this quadrant, sine has a negative value. Specifically, -1 <= sinx <= 0. So if we multiply by the factor of 4/5 as given:
-4/5 <= (4/5)sinx <= 0

A hiker is lost in the woods. A search team has created a coordinate grid to represent the woods. Each unit on the grid is one square mile. The hiker was last seen at (4, -9) and could have walked 10 miles in any direction since then. Which equation represents the area the hiker could be in?
A) (x - 4)2 + (y + 9)2 = 102
B) (x + 4)2 + (y - 9)2 = 102
C) (x + 4)2 + (y + 9)2 = 1002
D) (x - 4)2 + (y - 9)2 = 1002

Answers

The circle of radius r centered at (h, k) has equation
.. (x -h)^2 +(y -k)^2 = r^2

Selection A is appropriate.

_____
It would be helpful if you would use appropriate math symbols. 102 is very different from 10^2. (Copying and pasting does not work--editing is needed.)

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

[tex]\sqrt{a}=b\iff b^2=a\\\\a\geq0\ \wedge\ b\geq0\\\\\text{therefore your answer is}\\\\\text{(A) The equation has no solutions.}[/tex]

Jessica is designing a large, circular garden for a neighborhood park. A part of the garden will be occupied by a fountain. If the diameter of the garden is 82 meters and the measure of the angle formed by the fountain is 126°, what will be the approximate length of the garden cover by the fountain?

Answers

For this case what we should do is use the following relationship:
 S = R * theta
 Where
 S: length of the garden covered by the fountain.
 R: Garden radio
 theta: angle formed by the source.
 Substituting values we have:
 S = (82/2) * ((126) * (pi / 180))
 S = 90.16 m
 Answer:
 The approximate length of the garden cover by the fountain will be: 
 S = 90.16 m

What is 6 divided by 1/3

Answers

6/(1/3)

to find the answer, you must flip the second fraction, and change the division into a multiplication

6 x 3

6 x 3 = 18

18 is your answer

hope this helps

Marie decides to work all summer rather than going on vacation. She will be able to earn money and learn new skills but will not be able to spend much time with her friends. What is the opportunity cost in this scenario?

Answers

An opportunity cost is the loss of potential gain when you choose another option. In this case, the time spent with her friends would be the opportunity cost. 
Final answer:

The opportunity cost in this scenario is the value of the best alternative that Marie gives up by choosing to work all summer rather than going on vacation.

Explanation:

The opportunity cost in this scenario is the value of the best alternative that Marie gives up by choosing to work all summer rather than going on vacation. In this case, the opportunity cost could be the time she could have spent with her friends. By deciding to work, Marie forgoes the opportunity to socialize and spend quality time with her friends.

Opportunity cost is an important concept in economics that highlights the trade-offs we face when making choices. It helps us understand the value of the options we give up when we choose one alternative over another. In Marie's case, the opportunity cost of earning money and learning new skills is the limited time she can spend with her friends.

Can anyone please help

Answers

Hello,

9)
∠DBC=90-54=36°
∠CAD=∠DBC=36°

10)
∠BOC=1/2(360-2*100)=1/2*160=80°
∠l=1/2∠AOD=1/2∠BOC=40°

11)
JL=10
JA=7==>AL=10-7=3

LC=AL=3
LK=11
CK=11-3=8

KB=KC=8
BJ=JA=7

perimeter=10+11+15=36



If a fair coin is tossed 5 times what is the probability of getting 3 heads in a row

Answers

The probability of getting three heads in a row is always going to be a 1/2 = .5 = 50%. It is always going to be a 50/50 chance.

Multiply. −5m(−2m6+4m4+m−9) Express the answer in standard form. Enter your answer in the box.

Answers

First distribute the -5m to get 10m^2*-30m-20m^2*-20m-5m^2+45m. After that simplify to get -15m^2-10m
im trying to answer the question myself on the 2.14 unit test and i got:

10m^6-20m^4-5m^-9

im sorry if its not right, just know if its wrong i sacrificed 3 points off my unit test. lol

f √6 is the geometric mean between 6 and another number, then the number is

Answers

6*x = √6
What you have here is a geometric series beginning with x ⇒ √6 ⇒ 6
x = √6 / 6 It is the smallest number in the series.

Each number is multiplied by √6 to get to the next number in the series.
√6/6 <<<< answer

HELLO!!! ^-^

The answer is 1.

If √6 is the geometric mean between 6 and another number, then the number is 1.

(I had the same question and got it right using this answer so yeah) ^-^

Have an amazing day!!! ^-^

Historical Fact:

Back in the older days, the word awful was a word used to praise someone!  That is because aw in awful comes from the origin awe which is used when someone is in awe of you!!! For example: You are AWESOME!!!

Which of the following best describes the solutions to the inequality shown below?

4c + 5 < 4c + 3

A. All real numbers

B. c < 1/2

C. c > 1/4

D. No solution

Answers

D. I think because you would get a negative
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