Answer:
There might be an error in the question, the result below should be the correct answer. It is not possible for a^2+b^2+c^2 to be the answer.
(a+b+c)(a-b+c) = a^2 +2ac - b^2 + c^2
Step-by-step explanation:
(a+b+c)(a-b+c) = a^2 - ab +ac + ba - b^2 +bc + ca - cb + c^2 (expanding the two terms in brackets first)
Since ab = ba, ac = ca and bc = cb,
-ab and ba can be cancelled out
bc and -cb can be cancelled out
Hence, (a+b+c)(a-b+c) = a^2 +2ac - b^2 + c^2
This is what I have obtained through expansion, then simplification by cancelling out the common terms.
Could you help check the question again?
I need your help! I'm struggling and need help solving. If you can include an explanation that would be great!
Answer:
Answer choice A
Step-by-step explanation:
It's nice to know which way the equation is going, so graphing it helps (if you can, use Desmos!)
Since the equation is facing up (BOTH SIDES UP) as x approaches infinity & negative infinity, f(x) is always going to be increasing so it is always going towards infinity.
A circular flower garden has a diameter of 16 feet. At the center of the garden is a circular pool 5 feet in diameter. If a coin is tossed at random into the garden, what is the probability that the coin will land in the pool.
Answer:
0.0977
Step-by-step explanation:
From the question,
A = πR²...................... Equation 1
Where A = Area of the circular flower garden, R = Radius of the circular flower garden.
Also,
A' = πr²..................... Equation 2
Where A' = Area of the circular pool, r = radius of the circular pool.
If a coin is tossed at random into the garden, the probability that the coin will land in the pool is
Pr = Area of the pool(A')/Area of the garden(A)
Pr = A'/A....................... Equation 3
Substituting equation 1 and 2 into equation 3
Pr = πr²/πR².
Pr = r²/R².................... Equatio 4
Given: R = 16/2 = 8 feet, r = 5/2 = 2.5 feet.
Substitute these values into equation 4
Pr = 2.5²/8²
Pr = 6.25/64
Pr = 0.0977
Can y’all help me and tell me the answer?
A bedroom (14 ft by 12 ft) and hallway (9 ft by 3 ft) are getting new wood flooring. Wood flooring is priced at $6.00 per square foot. How much will it cost to add the wood flooring? It will cost $for the flooring.
Answer:
about 20 feet
Step-by-step explanation:
Answer:
$1170
Step-by-step explanation:
When 10 is substacted from the square of a number the result is 3 times the number find the positive solution
Answer: So the positive solution is:
ANSWER: X = 5
(x = 5 ), (x = - 2 )
Step-by-step explanation:
when 10 is subtracted from the square of a number the result is 3 times the number.
Find the positive solution.
Let: x = number
Let x^2 = square of a number.
x^2 - 10x = 3x transpose
x^2 - 3x - 10 = 0
Apply Factoring: Fractions of 10 are 5 and 2
( - 5)(2) = - 10
- 5 + 2 = - 3
( x - 5 )(x + 2) = 0
x - 5 = 0 x + 2 = 0
x = 5 x = - 2
So the positive solution is:
ANSWER: X = 5
I hope that helps!!!!
A rhombus has sides 11cm long the shorter diagonal of the rhombus is 8cm long find the size of the smaller angles of the rhombus correct to the nearest degree
Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
A circle has a circumference of 487
centimeters. Maricela recorded that the
circumference was 150.8 centimeters. Is
150.8 less than a greater than 48-?
Explain your answer:
Answer:
[tex]150.8 < 487[/tex]
Step-by-step explanation:
Given
[tex]C = 487cm[/tex] -- Actual measurement
[tex]M = 150.8[/tex] -- Recorded measurement
Required
Is M < C or M > C?
By comparing both values, we can see that:
[tex]M < C[/tex]
Because, on a number line from right to left; 150.8 comes before 487.
Hence:
[tex]150.8 < 487[/tex]
anyone know the answer? its algrebra
Does the equation represent an exponential function?
y = 4 • 5x
Yes
No
Answer:
yes is rhe anwers that was that i put
Please find and explain the answer to this problem(algebra 2)
Answer:
you need to add the problem. or at least a photo of it.
Answer:
u need to write or add a pic of the question
Step-by-step explanation:
Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter.
Both dollhouses have a rectangular prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches.
Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.
Answer:
Step-by-step explanation:
A B D
Answer:
Its A,B,D
i got them right on the quiz :)))
A population of 40 foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4x, where x is the number of 13-year periods, models the population growth. How many foxes will there be after 26 years?
Answer:
640
Step-by-step explanation:
y = 40(4)^x
x = 26/13 = 2
y = 40(4)^2
y = 40 (16)
y = 640
The area of the base of the cone is 9π^2 in and a height of 6 in. What is the volume of the cone, in terms of π? Need answer ASAP!
Answer: 18pi^2
Step-by-step explanation:
Volume of cone formula = 1/3 x base area x height
so 1/3 x 9pi^2 x 6
= 18pi^2
Please help if you want brianleist!!- NO LINkS child..
Ty
Answer:
D :)))
Step-by-step explanation:
find Angles in isosceles triangles
Step-by-step explanation:
[tex]\sf \hookrightarrow \: x + x + 88 = 180 \\ \sf \hookrightarrow \: 2x +88 = 180 \\ \sf \hookrightarrow \: 2x = 180 - 88 \\ \sf \hookrightarrow \: 2x = 92 \\ \sf \hookrightarrow \: x = \frac{92}{2} \\ \sf \hookrightarrow \: x = 46[/tex]
Answer:
46 degrees
Step-by-step explanation:
Sum of interior angles of a triangle is 180,
x + x + 88 = 180
2x + 88 = 180
2x = 180 - 88
2x = 92
x = 92 / 2
x = 46 degrees
Solve for the value of x.
Answer:
x = 3
Step-by-step explanation:
x + x + x could also be written as 3x, and count the number of "1's" given on both sides:
3x + 4 = 13
=> subtract 4 on both sides of "="
3x = 9
=> Divide by 3 on both sides of "="
x = 3
Hope this helps!
Answer:
x=3
Step-by-step explanation:
I believe the answer would be x is equal to 3.
If you first create the equation you get 3x*4= 13
There are 3 green 'x' so that is 3x. The four orange boxes can be represented as 4, and the 13 orange boxes can be represented as 13.
Then, you solve the equation.
3x * 4 =13
Subtract 4 from both sides.
3x= 9
And simplify.
x=3.
I hope this helps! (:
Can someone please answer this! I am very confused.
I need help, please
and can someone explain so I can stop posting so many of these?
it's infinitely many bc the equations have the same line
Answer:
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
Step-by-step explanation:
How many solutions does the following system have?
y = -2x – 4
y = 3x + 3
Solution:
Given y = -2x – 4
y = 3x + 3
Rewriting to the general form
-2x – y – 4 = 0
3x – y + 3 = 0
Comparing the coefficients,
(a1/a2) = -⅔
(b1/b2) = -1/-1 = 1
(a1/a2) ≠ (b1/b2)
Hence, this system of equations will have only one
Please help fast
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown.
The height of rock 4 seconds after it was thrown is 168 ft.
What is speed?Speed is measured as distance moved over time.
Speed = Distance/ Time.
Here, given that,
we have
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.
The height h, in feet, of the rock
t seconds after it was thrown can be modeled by the function
h(t)=-16t^2 +96t+40.
where
h -----> is the height in feet of the rock
t -----> the time in seconds
For , t=4, we get,
substitute the value of t in the function and find the value of h
h(4)=-16×4^2 +96×4+40.
So, h= 168
Hence, the height of rock 4 seconds after it was thrown is 168 ft.
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Easy Points !!✅
Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?
Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.
Deposits? What do you mean?You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.
Debit and credit mean what?In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.
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Hexagon PQRSTU is shown on the coordinate grid. Hexagon PQRSTU is dilated with the origin
as the center of the dilation using the rule (x, y) → ( 3 x, 3 y) to create hexagon P'Q'R'S'T'U'.
2 2
Which statement is true?
A) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is a fraction.
B) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is greater than one.
C) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is greater than one.
D) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is less than one.
Find the surface of the prism.
Answer:
520 yd^2
Step-by-step explanation:
The prism is a rectangular prism
2 * (14 * 5) + (5 * 10) + (14 * 10)= 520
Answer: 520 yards squared
Step-by-step explanation: The surface area is basically the area on every surface. So it’s (14x10)x2 + (14x5)x2 = 520 yards squared. Hope it helped! :)
Nathan cut an isosceles triangle from felt to
make a spirit banner. Two sides of his banne
had the following measures: 15 inches and
7 inches. Which could be the measure of the
third side of Nathan's banner?
A 20 inches
B 15 inches
C 10 inches
7 inches
Answer:
B) 15
Step-by-step explanation:
only options are 15 or 7 inches because the problem mentioned the triangle is isosceles (they have two equal sides)
we can eliminate 7 because of the triangle inequality theorem
if two sides of a triangle are 7 then their sum is only 14 and it would need to be greater than the third side of 15
Explain how the quotient was determined.
A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of 100100100 teachers from a statewide database containing every teacher, and they find 555555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.Which conditions for constructing this confidence interval did their sample meet
When we construct the confidence interval their sample must have some conditions which are as follows,
The data should be a random sample from the population of interest.np^ ≥ 10 n(1 - p^) ≥ 10Individual observations can be taken as independent.Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.
When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.
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If 25% of a number is 20 and 60% of the same number is 48, find 85% of that number
Answer:
68
Step-by-step explanation:
25% of a number is 20, where the number is 80 because 25% times 4 is 100% and 20 times 4 is 80.
We can check by doing 60% of 80 to see if it is 48. Instead of 60%, we can do 10% of 80, which is 8. Since we divided by 6, we multiply 8 by 6 which is 48.
Since we know 80 is the number, we have to find 85% of 80. First, let's find 5% of 80, which is 4 since 4 x 20 is 80 and 5% x 20 is 100%. Now, 85 divided by 5 is 17, let's multiply 17 by 4 to get 85% of 80. 17 x 4 is 68 which is 85% of 80.
Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form
Answer:
6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000
six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths
Step-by-step explanation:
right!!!
•35 POINTS• don’t explain.
SSS
SAS
ASA
SAA
HL
Reason:
The tickmarks tell us that the pair of hypotenuses are congruent.
The shared horizontal sides at the bottom are the pair of congruent legs of the right triangles. Therefore, we can use the hypotenuse leg (HL) theorem. This theorem only works for right triangles.
a) What is the size of angle ABC? b) Use your answer to part a) to work out the size of reflex angle CBD. Give your answers to the nearest degree.
Answer:
a) 110
b) 250
Step-by-step explanation:
Read the top row of numbers for a. We are starting at zero and going to 110
Reflex is when two angles add up to 360
360 - 110 = 250
PLEASE HELP!! i’ll mark you brainliest please !
Is the relationship a function?
{(1,4), (4,1), (1,5),(5,1)]
Answer:
no
Step-by-step explanation:
hdjdjdnbdbdjddhhdhfhr r rjfnfn
Answer:
It is a function
Step-by-step explanation:
A linear function
[tex]x = y - 3[/tex]
and
[tex]x = y - 4[/tex]