If the triangle were reflected across the x-axis, then translated four units to the left,
what would be the value of the x-coordinate of point B?

If The Triangle Were Reflected Across The X-axis, Then Translated Four Units To The Left,what Would Be

Answers

Answer 1

When the triangle is reflected across the x-axis, then point B would be (6, -6), but when it's also translated four units to the left, it will be (2, -6).

When you reflect something across an axis, then a point you recall will have the x or y value have the opposite sign (i.e. 6 would become -6 across the x-axis and vice versa).

When you translate something across the graph, you are adding to the x value when shifting to the right, subtracting from the x value when shifting to the left, adding to the y value when shifting upward, and subtracting from the y value when shifting downward.

∴, B = (2, -6).


Related Questions

½(4x - 8) = 6x + 10 solve for x and show work.

Answers

Answer:

x = -7/2

Step-by-step explanation:

½(4x - 8) = 6x + 10

simplify

2x - 4 = 6x + 10

subtract 6x from both sides

-4x - 4 = 10

add 4 to both sides

-4x = 14

divide both sides with -4

x = -14/4

simplify

x = -7/2

Answer:

½(4x - 8) = 6x + 10

4x-8=12x+20

-20-8=12x-4x

-28=8x

x=-28/8=3.5

Allison's cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more
cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and
cookies (b) that she should buy? (a > 0,b> )

Answers

Answer:a+b ≥40

5+a≤ b

2.50a+1.50b≤ 105

i believe

Step-by-step explanation:

The equations would be:

a+b ≥40 (cupcakes +cookies must be at least 40 total)

5+a≤ b

(At most 5 more cupcakes then cookies)

2.50a+1.50b≤ 105

(The cost of cookies and cupcakes must be less than $105)

complete the square for the expression, then factor the trinomial.

x^2-4x

please explain how to do it as well! :)

Answers

Answer:

Completing the square we get: [tex](x-2)^2-(2)^2[/tex]

and factoring the term we get: [tex]x(x-4)[/tex]

Step-by-step explanation:

We need to complete the square for the expression [tex]x^2-4x[/tex]

For completing the square the expression would be of form [tex]a^2+2ab+b^2=(a+b)^2[/tex]

For given expression we have to add (2)^2 and subtract to make it complete the square.

[tex]x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2[/tex]

Now, we have to factor the polynomial using formula [tex](a)^2-(b)^2=(a-b)(a+b)[/tex]

So, [tex](x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)[/tex]

Completing the square we get: [tex](x-2)^2-(2)^2[/tex]

and factoring the term we get: [tex]x(x-4)[/tex]

Each wall measures about 65 feet tall and 80 feet wide. If Os Gemeos did a sketch on paper that was 8 inches tall for one wall, how wide would their sketch have to be to stay in proportion?

Answers

Given :

Wall measures about 65 feet tall and 80 feet wide.

To Find :

If Os Gemeos did a sketch on paper that was 8 inches tall for one wall, how wide would their sketch have to be to stay in proportion.

Solution :

Let, width of sketch is x.

Since, they are in proportion :

[tex]\dfrac{65}{10}=\dfrac{65+8}{x}\\\\x = \dfrac{10\times 73}{65}\\\\x = 11.23\ feet[/tex]

Therefore, width of sketch should be 11.23 feet.

Hence, this is the required solution.

If f(x)=x2+3x−2, find f(−2).

Answers

Answer:f(-2)=-12

Step-by-step explanation:

Apply the (-2) to the x in the equation

(-2)2+3(-2)-2

Simplify

-4-6-2

-12

Answer:

Answer:f(-2)=-12

Step-by-step explanation:

Apply the (-2) to the x in the equation

(-2)2+3(-2)-2

Simplify

-4-6-2

-12

The Big Ben clocktower in London is approximately 316 feet tall. Shana is standing nearby and notices that she casts a 4-foot shadow. If Shana is 5 feet tall, find the length of Big Ben's shadow?

Answers

Answer:

The length of Big Ben shadow is 252.8 feet

Step-by-step explanation:

The given parameters are;

The height of the Big Ben clocktower in London ≈ 316 feet tall

The length of the shadow Shana casts = 4-foot

The height of Shania = 5 feet

Therefore, we have, by similar triangles;

[tex]\dfrac{The \ length \ of \ the \ shadow \ Shana \ casts }{The \ height \ of \ Shania} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{The \ height \ of \ the \ Big \ Ben \ clocktower}[/tex]Substituting the values, gives;

[tex]\dfrac{4 \ feet}{5 \ feet} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{316 \ feet}[/tex]

[tex]The \, length \, of \, the \, shadow \, The \, Big \, Ben \ clocktower \ casts = 316 \ feet \times \dfrac{4 \ feet}{5 \ feet} = 252.8 \ feet[/tex]

The length of the shadow The Big Ben clocktower casts = The length of Big Ben shadow = 252.8 feet

Answer:

252.8 feet

Step-by-step explanation:

help me, lol.
Well appreciated!

Answers

Answer:

x=-35

Step-by-step explanation:

can you mark me as brainliest pls

MATH QUESTION
There are 60 minutes in
one hour, 24 hours in 1 day, and 7 days
in one week. About how many minutes
are in one week? Explain how you
found your estimate.

Please make sure the answer is an estimate.

Answers

Answer:

about 10,080

Step-by-step explanation:

I did 24 times 7 then that answeer which is 168 by 60 whoich is 10,080

60x24=1140
1140x7=7980

John keeps chickens and rabbits in his fenced backyard. He counts a total of 32 heads and a total of 72 legs in his backyard. Write and solve a system of equations in order to find: How many chickens are in John's backyard? Chickens How many rabbits are in John's backyard? Rabbits

Answers

Answer:

System of Equations

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

We have 28 chickens and 4 rabbits

Step-by-step explanation:

Let the number of chickens be represented by c

The number of rabbits be represented by r

From the question, John counts:a total of 32 heads

32 heads = a total of 32 animals

Hence:

c + r = 32....... Equation 1

c = 32 - r

Also, John counts:

A total of 72 legs in his backyard.

Chickens have: 2 legs

Rabbits have: 4 legs

Hence:

2c + 4r = 72......... Equation 2

System of Equations is:

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

Lets us substitute 32 - r for c in Equation 2

2(32 - r) + 4r = 72

64 - 2r + 4r = 72

Collect like terms

- 2r + 4r = 72 - 64

2r = 8

r = 8/2

r = 4

This means we have 4 rabbits

Note:

c = 32 - r

r = 4

c = 32 - 4

c = 28

Hence, we have 28 chickens

A rectangular yard measuring 39ft by 63ft is bordered (and surrounded) by a 2 ft fence. Inside, a walk that is wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.

Answers

Given :

A rectangular yard measuring 39 ft by 63 ft is bordered (and surrounded) by a 2 ft fence.

To Find :

The area of this walk.

Solution :

Area of whole park :

[tex]A=39\times 63\ ft^2\\\\A=2457\ ft^2[/tex]

Now, length and breadth after removing the fences is l = 63 - 2( 2) = 59 ft and b = 39 - 2( 2 ) = 35 ft.

Area of inner park :

A' = 35 × 59 ft²

A' = 2065 ft²

Therefore, area of fencing is 2457 - 2065 = 392 ft² .

Hence, this is the required solution.

The length of a rectangle is 2 inches more than twice its width, and its perimeter is 60 inches. Find the length and width
of the rectangle.
If w = the width of the rectangle, then the length equals

Answers

Answer:

no

Step-by-step explanation:

Evaluate the expression 1^4 + 3(10 - 2)^2. Show your work.​

Answers

Answer:

193

Step-by-step explanation:

The length of rectungular field is 50m and its breadth is 40m. calculate its area in acre and hectare​

Answers

Answer:

90

Step-by-step explanation:

40+50 ......................

Answer:

0.4942108acre,0.2 hectare

Step-by-step explanation:

Given

length of rectungular field =50m

its breadth = 40m.

Solution

Area=length×breadth

=50×40

=2000m^2

1)1 square metre =0.000247 acre

So2000m^2=0.4942108acre

2)2000m^2=0.2 hectare

for a certain base, b, logb^8=3 and logb^0.5=-1 The value of logb^4b is 0, -3, 3

Answers

Answer:

3.

Step-by-step explanation:

From the question given above, the following data were obtained:

Logᵦ 8 = 3

Logᵦ 0.5 = – 1

Logᵦ 4B =?

Next, we shall determine the value of B. This can be obtained as follow:

Logᵦ 8 = 3

8 = B³

Take the cube root of both side.

B = 3√8

B = 2

Finally, we shall determine the value of Logᵦ 4B. This can be obtained as follow:

Logᵦ 4B =

B = 2

Logᵦ (4×2) = Logᵦ 8

Recall from the question given:

Logᵦ 8 = 3

Therefore,

Logᵦ 4B = Logᵦ 8 = 3

Thus, the value of Logᵦ 4B is 3.

Answer:

It ends up being 3

Step-by-step explanation:

PLATO

At school on Friday the ratio of students who purchased a lunch to students who brought lunch was 4:3. Based on the ratio, how many brought lunch out of 490 students?

Answers

Answer:

210 students brought lunch

Step-by-step explanation:

At school on Friday the ratio of students who purchased a lunch to students who brought lunch was 4:3.

The ratio is

Students who purchased: Students who brought

= 4 : 3

The total proportion

= 4 + 3 = 7

The total number of students from the question is : 490

Hence, The number of students that brought lunch is calculated as:

3/7 × 490

= 210 students

Hence, 210 students brought lunch

a train travelling at 60 km per hour completes the journey in 8 hour. How much faster would it have to travel to cover the same distance in 6 hour ​

Answers

Answer:

Total distance covered: 60x8 = 480

Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.

initial velocity : 60 km/hr.

Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.

Step-by-step explanation:

Given the following measures of the sides of triangles, which is a right triangle?

A.
10 cm, 24 cm, 26 cm

B.
13 ft, 14 ft, 15 ft

C.
7 in, 12 in, 15 in

D.
14 yd, 14 yd, 30 yd

Answers

Answer:

A

Step-by-step explanation:

10 squared + 24 squared = 26 squared :)

Sylvester wants his hand to have a sum of -1. Click on three cards that Sylvester could choose. . -9 , 5 , -7, 1 , 4 , -2 , 3​

Answers

5,3 and -9 equal -1..

Write the numbers in order from least to greatest. Please help!!

Answers

Answer:

-20, -9, -5, -2, 2.2, 2.5, 2.7

Step-by-step explanation:

Answer:

-20, -9, -5, -2, 2.2, 2.5, 2.7

Step-by-step explanation:

HALP I WILL GIVE BRAINLIEST

Answers

9514 1404 393

Answer:

  Mark the lower tick marks with hour numbers; see what hour corresponds to 2/3 mile

Step-by-step explanation:

The upper number line is marked off in 1/3 mile increments.

The tick marks on the lower line divide the unit distance into 6 parts, instead of 3, so each mark on the lower line corresponds to 1/6 mile.

The problem statement tells you the completion rate is 1/6 mile per hour, so we can number the lower tick marks 0, 1, 2, 3, 4, 5, 6 hours, leaving the marks on the upper number line at 1/3 mile, 2/3 mile, and 1 mile.

Then the lower tick mark we have labeled 4 hours will correspond to the upper tick mark labeled 2/3 mile.

__

To solve the problem using number lines, mark the number lines with values that correspond. Extend the numbering as required to answer the question asked.

What is the product? HELP PLEASE​

Answers

Answer:C. 80Hope this helps!!

Jennie has $300 and she spends $15. What percent of her money is spent?

Answers

Answer:

The answer is 5%

Step-by-step explanation:

Hope this helps!!

8. A right triangle has an angle
measure of 52.49. What is the
value of x, the missing angle?

Answers

Answer:

let the missing angle be x

now

x+52.49+90=180(being the sum of traingle)

or,x=180-142.49

or,x=37.51

answer

Anyone know??? X= ???

Answers

Answer:

x = 40.5

Step-by-step explanation:

2/3 * 40.5 = 27

Answer:

81/2

Step-by-step explanation:

divide by 2/3rds on both sides and then there is your answer

have a great night!!!

I really need help. Can you please show your work too.

Answers

Answer:

Step-by-step explanation:

You just combine common variables.

8a^5 -4

3a^5 + a -2

11a^5 + a -6

The solution to the first is 11a^5+a-6.

The second:

3x^2 -2x + 1

-x^2 + 3x + 1

2x^2 + x + 2

2x^2+x+2

Can someone please help me with this . will give brainliest :)​

Answers

Answer:

Your answer is going to be letter D because:

.00004 x 2,000,000,000 = 80,000

D

can i get brainly?

Pls help ASAP will give brainlist

Answers

Answer:

ACB

Step-by-step explanation:

i think it is true or I'm just a genius

Answer:

ACB third option

Step-by-step explanation:

the smallest angle opposes the smallest side

At the grocery store, 6 pints of ice cream cost $8.94. How much would 35 pints of ice cream cost?

Answers

Answer:

52.15

Step-by-step explanation:

you need to find how much each pint cost by itself so...

8.94 divided by 6 is 1.49

then 1.49 x 35 = 52.15

and that is your answer

Answer:

$52.15

Step-by-step explanation:

i just dived 8.94 by 6 then multiplyed that answer by 35

Consider the rectangle below.
4(x - 7) in.
3 in.
2(10 - x) in.
What is the value of x?
X =



Please help me!!

Answers

Answer:

x=8

Step-by-step explanation:

bc (8-7) =1,  1 time 4 = 4                  (we always do -/+ before multiplication)

 and (10-8)=2, 2 time 2 = 4

since for both you get the same result therefore x=8

(I just get that for my I-ready I was stuck for a period of time than realize it)

Guys people how about this this ....

Answers

Answer: Since FK is half the line, and FH is the whole line 6*2= 12

so FH=12

Answer:

it would be 12

since FK would be the same measurement as KH so all u gotta do is add 6+6 and u get 12

Step-by-step explanation:

hope this helps

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