Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
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Kianna lives in a town where the streets are laid out in a grid. She uses a coordinate plane to draw a map of the town, with her school at the origin. Kianna plots points for the locations of her house and her best friend Jo's house on the grid.
Kianna's house is at the point (4, 2).
Kianna's and Jo's houses are reflections of each other across both axes.
1. What are the coordinates of Jo's house? Explain how you know in the space below.
2. Kianna walks from her house to Jo's house. She first walks west and then walks south. How many blocks west does Kianna walk? How many blocks south?
Write your answer in the space below.
3. Elena's house is a reflection of Jo's house across the x-axis.
What are the coordinates of Elena's house? Explain in the space below.
4. Kianna says that Elena's house is actually a reflection of her house across the y-axis.
Is Kianna right? Explain
Answer:1. The coordinates of Jo’s house are (-4,-2).
Step-by-step explanation:
1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).
Hope this helps.
Helena asked five drama club members in her homeroom how many tickets they had sold. The mean number of tickets sold was 16. Then she took ten random samples from the entire drama club of 75 students. The mean number of tickets sold was 22. 5. Compare the means. Is one sample a better representation? Explain why or why not.
The total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.
The formula for calculating the mean of numbers is expressed according to to the formula;
[tex]\overline x=\frac{\sum x}{n} \\[/tex]
n is the total sample space
[tex]\overline x[/tex] is the mean of the samples
[tex]\sum x[/tex] is the sum of the variables
If the mean number of tickets sold by five drama club members was 16, then;
[tex]16=\frac{\sum x}5}\\\sum x = 16 \times 5\\\sum x_1 = 80[/tex]
If she took ten random samples from the entire drama club of 75 students with a mean number of 22.5, hence;
[tex]\sum x_2 = 75[/tex]
Since the total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.
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Write an equation to represent the image.
Answer:
m+1/4=2/3
Step-by-step explanation:
please mark me as brainlest
21²/0.219 to 2 significant figures
eight years ago mario was 25% younger than he is now how old is mario now
Answer:
32.
Step-by-step explanation:
8 is 16% of (blank) please help (:
Answer:
50
Step-by-step explanation:
8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13
125 divided by 100 I have to make corrections
Answer:
1.25
Step-by-step explanation:
125/100 = 1.25
Answer:
it's 1.25
Step-by-step explanation:
125 ÷100 = 1.25
can someone plz explain and gimme the answer...
Answer:
The choice two
[tex]5 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {5}^{2} = {c}^{2} \\ 25 + 25 = {c}^{2} \\ 50 = {c}^{2} \\ c = 5 \sqrt{2} [/tex]
Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?
Answer:
$12
Step-by-step explanation:
to find sales tax you multiply the cost by the percentage
you do 150 * 8%
thats also 150 * 0.08
150 * 0.08 is 12
so you pay $12 in tax
Bret paid $12 as sales tax.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.
Assume that he paid $[x] as sales tax. Then, we can write -
[x] = 8% of 150
[x] = (8/100) x 150
[x] = 12
Therefore, Bret paid $12 as sales tax.
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Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile
Answer:
Step-by-step explanation:
6 miles / 30 minutes = 0.2 miles /minutes
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
Answer:
See below
Step-by-step explanation:
Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)
Identify two ANGLES that are marked congruent to each other on the diagram below
Answer:
Angle J is congruent to Angle G
piecewise functions. please help it’s for a test. please write the tables! i will give out brainliest!!
Answer:
Second Table:
1 | 0
3 | -2
Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit
Step-by-step explanation:
Which one is greater 43/50 , 0.91 , 7/8 , 84%
Answer:
0.91
Step-by-step explanation:
43/50 = 0.86
7/8 = 0.875
84/100 = 0.84
Answer:
0.91
Step-by-step explanation:
.91 is already solved so there is nothing to do there.
Convert 43/50 by multiplying the top and bottom by 2 and you get 86/100, and when you convert that to its decimal, you get 0.86.
For 7/8, multiply the top and bottom by 125 and you get 875/1000. When you convert that, you get 0.875.
For 84 percent, just convert it to 0.84 and you are done.
Therefore, the biggest one is 0.91
Translate to an inequality. Use the variable x.
A number is less than 15.
Answer:
that's the correct answers
Step-by-step explanation:
thanks for your
To translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.
This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.
Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
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Emily drove to the ferry office and back. The trip there took four hours and the trip back took six hours. She averaged 20 km/h on the return trip. Find the average speed of the trip there.
Answer:
on the way there she was going at 25 km/hr
Step-by-step explanation:
HELP PLEASE ANYONE
Derrick has 3 times as many CDs as Joshua. Which equation compares the number of CDs that the two boys have? (Let d = number of Derrick's CDs and j = number of Joshua's CDs.) O A. 3d = j E ов O B. 3j = d c C. 3 + d = j OD. 3 + j = d
Answer:
b
Step-by-step explanation:
joshua times 3 is basically derrick's amount
so 3j = d
Which expression is equivalent to 3(2x + 2) +4x + 3?
Answer:
10x + 9
Step-by-step explanation:
3(2x + 2) +4x + 3
=> 6x + 6 + 4x + 3
=> 10x + 9
Therefore, 10x + 9 is the solved equation.
Hoped this helped.
[tex]GeniusUser[/tex]
3(2x + 2) + 4x + 3
6x + 6 + 4x + 3
10x + 6 + 3
10x + 9
Answer is that 10x + 9 is equal to 3(2x+2) + 4x + 3
Jeremiah and Cassie went to dinner. Jeremiah’s meal was $25 and Cassie’s was $23. They each got a Pepsi for an additional $3.25. If they planned to leave a 15% tip for their waiter, how much should they leave?
Answer:
8.175$
Step-by-step explanation:
If we do 23+25+(3.25)×2
The sum of all the bought
It will equal to 54.5
So if we do as the waiter planned
We must to 54.5×15%=8.175$
Find the area of the polygon.
Answer
the area is 26 cm
Step-by-step explanation:
for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2
for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12
for box A it is 3 by 4 so that would be 12
you add the results together 12+12+2=26cm
PLEASE HELP. Select all the correct answers.
Which sequences of transformations applied to shape I prove that shape I is similar to shape II?
reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5
a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5
a translation 2 units down and 5 units left, and then a dilation by a scale factor of 0.5
Answer: 2 4 3
Step-by-step explanation:
1. The price of one share of a stock fell 4 dollars each day for 8 days. How
much value did one share of the stock lose after 8 days?
2. A credit card company charges a late fee of 25 dollars each time a customer
fails to pay on time. A customer missed the payment 4 times last year. At
the customer's request and out of courtesy, the credit card company
decides to cancel all late fees for that year. Write a numerical expression to
show how much money was return.
Step-by-step explanation:
1.
$4 for 8 days. that means $4 on each and every day, 8 times.
so, in total that is 4 × 8 = $32
that is how multiplications work.
m×n means that m is added n times (or vice versa and n is added m times).
2.
similar here.
$25 each time the customer missed a payment. and he missed 4 times that year.
the bank returned the fees for all 4 occasions. so,
returned money = 25 × 4 = $100
What is an equation of the line that passes through the points (-6, -4)(−6,−4) and (3, 8)(3,8)?
Answer:
y = 4/3x + 4
Step-by-step explanation:
-4 - 8 / -6 - 3
-12 / -9
4/3 is slope
y = 4/3 x + b so we need to find b
Put one of the points in for y and x.
-4 = 4/3 (-6) + b
-4 = -8 + b
4 = b
y = 4/3x + 4
solve one step equation
x/4 = 16
Hi there!
Since this is a one-step equation, we can solve it in one step.
This step is multiplying both sides by 4 to isolate x:
x=16*4
x=64
Therefore, x=64.
Hope it helps!
~GracefulGirlie
Good luck. :)
Answer:
X = 64
Step-by-step explanation:
x/4 = 16
Multiply both sides by 4
x = 16 x 4
Multiply 16 and 4 equals 64
I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)
2
10) Ronnie charged his Customers a llat fee or $25 to fix computers. Then he charged $20 for each hour
fixing the computer. ir Ronnie made $175 ofr of his first customer, how many hours did he spend working?
thworkabeets.com
Answer:
7.5 hours
Step-by-step explanation:
y=mx+b, where y is cost and x is hours.
175 = 20x + 25
150 = 20x
7.5 = x
He worked 7.5 hours
1 point
#8. What is the slope of a graph that passes through (5,5) and (5, -7)? *
0
-12
- 12/0
Undefined
12
Answer:
The answer is undefined
Because it passes through x
A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. Let x represent the number of male birds and y represent the number of female birds. Write the constraints to represent a thriving population of birds at the zoo. X > 0 and y > 0 0 < x ≤ 20 and y > 60 x > 0 and y < 20 0 < x ≤ 20 and 0 < y ≤ 60.
The correct option is D.[tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].
Given, [tex]x[/tex] represent the number of male birds and [tex]y[/tex] represent the number of female birds.
The flock needs to have exactly three times more females than males to thrive.
So, in equation form we have,
[tex]y=3x[/tex]........(1)
Since, The zoo only has room for a maximum of 20 male birds.
So, we can write the inequality for [tex]x[/tex] as,
[tex]0< x\leq 20[/tex]......(2)
Since The maximum number of male birds is 20, so for [tex]x=20[/tex]
y will be,
[tex]y=3\times 20\\[/tex]
[tex]y=60[/tex]
Hence, The maximum number of female birds is 60.
So, we can write the inequality for [tex]y[/tex] as,
[tex]0< y\leq 60[/tex]
Hence the required constraints are [tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].
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Answer:d
Step-by-step explanation: did the test
f(x)=3x-5, f(2r)
help or i might have to retake this class next semester AHHHH
Answer:
f(2r) 6r - 5
Step-by-step explanation:
Substitute x = 2r into f(x) , that is
f(2r) = 3(2r) - 5 = 6r - 5
Please help me!
ty ty :)
Answer:
The answer is steeper.
I'm not sure about the slope thingy. But the line looks Steeper instead of flatter
