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).
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?
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:
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
Consider the rectangle below.
4(x - 7) in.
3 in.
2(10 - x) in.
What is the value of x?
X =
Please help me!!
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)
complete the square for the expression, then factor the trinomial.
x^2-4x
please explain how to do it as well! :)
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]
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.
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
Can someone please help me with this . will give brainliest :)
Answer:
Your answer is going to be letter D because:
.00004 x 2,000,000,000 = 80,000
D
can i get brainly?
help me, lol.
Well appreciated!
Answer:
x=-35
Step-by-step explanation:
can you mark me as brainliest pls
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.
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.
If f(x)=x2+3x−2, find f(−2).
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
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?
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.
Write the numbers in order from least to greatest. Please help!!
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:
Anyone know??? X= ???
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!!!
Evaluate the expression 1^4 + 3(10 - 2)^2. Show your work.
Answer:
193
Step-by-step explanation:
for a certain base, b, logb^8=3 and logb^0.5=-1 The value of logb^4b is 0, -3, 3
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?
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
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
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
HALP I WILL GIVE BRAINLIEST
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.
Pls help ASAP will give brainlist
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
Jennie has $300 and she spends $15. What percent of her money is spent?
Answer:
The answer is 5%
Step-by-step explanation:
Hope this helps!!
The length of rectungular field is 50m and its breadth is 40m. calculate its area in acre and hectare
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
½(4x - 8) = 6x + 10 solve for x and show work.
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> )
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)
At the grocery store, 6 pints of ice cream cost $8.94. How much would 35 pints of ice cream cost?
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
Guys people how about this this ....
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
I really need help. Can you please show your work too.
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
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
Answer:
no
Step-by-step explanation:
What is the product? HELP PLEASE
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
Answer:
A
Step-by-step explanation:
10 squared + 24 squared = 26 squared :)
8. A right triangle has an angle
measure of 52.49. What is the
value of x, the missing angle?
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
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
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: