lou thinks the expression 27x^3-64 factors to (3x-4) (9x^2+12x+16). is he correct? How can you check his work? Show all work to justify your thinking.
Answer:
Step-by-step explanation:
(a³ - b³) = (a - b) (a² + ab + b²)
27x³ - 64 = 3³x³ - 4³
= (3x)³ - 4³ {a = 3x & b= 4)
Substitute in the above formula.
= (3x -4)([3x]² + 3x*4 + 4²)
= (3x - 4)(9x² + 12x + 16)
The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).
NEED ANSWER ASAP!!! PLEASE
Answer:
8
Step-by-step explanation:
find the value of x.
x+7+9=3x-6
x+16=3x-6
10=2x
x=5
plug into the equation for ST.
x+3
5+3 = 8
chris is investing how long it takes his dog to react to different sounds. What is the independent variable?
Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid
off. Which equation represents the relationship between m, the number of
monthly payments Frankie has made, and t, the total amount
that Frankie has paid the store?
Answer:
t = 30m+50
Step-by-step explanation:
Answer:
T = 30m + 50
Step-by-step explanation:
Write 0.36 Repeating as a fraction in simplest form
Answer:
The answer would be 4/11
Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.
Angle A = 68 degrees
Angle B = 22 degrees
Side AB = 2.9 cm
The three values are approximate
=========================================================
Explanation:
a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
2.7^2 + 1.1^2 = c^2
8.5 = c^2
c^2 = 8.5
c = sqrt(8.5)
c = 2.91547594742266
c = 2.9
The hypotenuse is c = AB = 2.9
--------------------
We then use trig ratios to find the two missing angles.
Let's say we ignore the hypotenuse and focus on the two legs of the triangle.
With respect to reference angle A, side BC is opposite and AC is adjacent
Use the tangent ratio to get
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 2.7/1.1
tan(A) = 2.45454545454546
A = arctan(2.45454545454546)
A = 67.8336541779176
A = 68
Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.
-------------------
Similarly,
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 1.1/2.7
tan(B) = 0.4074074074074
B = arctan(0.4074074074074)
B = 22.166345822082
B = 22
Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.
-------------------
In summary we found
A = 68
B = 22
AB = 2.9
BC has one endpoint
B(3,2) and a midpoint
T(6,-2). Find the
coordinates of the
other endpoint, C.
Thank you in advance!!
Answer:
Step-by-step explanation:
(3 + x)/2 = 6
3 + x = 12
x = 9
(2 + y)/2 = -2
2 + y = -4
y = -6
(9, -6) the other endpoint C
Z= pi^3h, solve for h
Answer:
Z/ pi^3 = h
Step-by-step explanation:
Z= pi^3h
Divide each side by pi ^3
Z/ pi ^3= pi^3h/pi ^3
Z/ pi^3 = h
if you see this I really need help on this question asap ty so much... "The flagpole in the diagram below has a height of 10ft. The shadow is 12 feet long. What is the distance from the top of the flagpole to the far end of its shadow? (round your answer to the nearest hundredths)"
Answer:
15.62 feet
Step-by-step explanation:
If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.
[tex]a^{2} + b^{2} = c^{2}[/tex]
let height of flagpole = a
let length of shadow = b
let distance between the two = c
[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]
I Really need help on this question if anybody can tell me what the answer is that would be nice I only have a few minutes :/
Answer:uuuu idk
Step-by-step explanation:
Answer:
B or the second answer
Step-by-step explanation:
If you change the denominator for all 4 fractions, then you will get that denominator. After that you will multiply how you got that denominator from the beggining denominator. And that’s how i did it.
What is the largest multiple of 17 which is less than 1000?
Which term describes this figure?
Answer:
its a angle
Step-by-step explanation:
What is?
10 = Z +6
and why is it?
Answer:
4
Step-by-step explanation:
10=z+6 <subtract six to each side
4=z
Answer:
4
Step-by-step explanation:
well you got 10 = Z+6 right.. so subract 6 from 10 what do you get, you get 4 so that is th reason Z is 4
Hope I answered ur question
Identify the domain and range of the relation {(-5, 4, (-4, -1), (-2, 1), (0, 4), (1, 3)
Answer:
Domain: -5. -4, -2, 0, 1
Range: 4, -1, 1, 3
A real estate agent's base salary is 22,000 per year. The agent earns a 4% comission on total sales. How much must the agent sell to earn 60,000 in one year
Answer: 950,000
Step-by-step explanation:
base salary is 22,000
Target 60,000
60,000-22,000 =38,000 which is 4%
So 38,000/4 = 9,500 which is 1%
So 9,500 * 100 = 950,000 which is 100% total sale
So commission of 4% on 950,000 is 38,000
Therefore 38,000 + 22,000 = 60,000
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
After a translation (x+3, y-2) the coordinates of D' be (4, 0).
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The altitude is the measurement of the angle perpendicular to the parallel sides.
The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.
From the given figure of this trapezoid in a coordinate plane, the points of D is (1, 2).
Now, If this trapezoid is moved through the translation (x + 3, y - 2) the coordinates of D' will be (1 + 3, 2 - 0) ⇒ (4, 0).
learn more about translation here :
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The equation 5 (3w - 4) = -3(3+ 2w) has
solution(s).
Answer:
w= 1.2
Step-by-step explanation:
Help me with this. Am just bad with this
Answer:
0.36
or
Step-by-step explanation:
if a=120 degrees find the measures of b,c, and d
Answer:
<b=120°,<c=60° & <d=60°
Step-by-step explanation:
Here,
given that <a=120°
<a is vertically opposite to <b
We know,vertically oppposite angles are equal
So,<a=<b=120°
<a & <c lies on a straight angle.
So,<c=180°-120° (Sum of two angles on a straight angle is 180°)
<c=60°
Again,<c is vertically opposite to <d.
So,<d=60°.
Help me I need this fast!!
Find the circumference of a circle whose diameter is 20 mm. *Plz explain your answer*
Answer:
The circumference is 62.8.
Step-by-step explanation:
Find the diameter (in this case, 20mm)Multiply the diameter by 3.14, or pi. (Pi can be a different number depending on the problem but 3.14 is the most used one)The product of the diameter multiplied by Pi is the circumference of the circle!3.
A gardenar wishes to plant 6096 plants in the form of a square and found that there
were 12 plants left. How many plants were planted in each row.
Answer: 78
Step-by-step explanation:
x² + 12 = 6096
x² = 6084
[tex]\sqrt{x^2}=\sqrt{6084}[/tex]
x = 78
help please urgent!!!! 10 points
Answer:
[See Below]
Step-by-step explanation:
✦ First you need to know the area of a triangle:
✧ ½ x b x h
✦ Now write you formula out:
✧ ½ x 5 x 4
✦ Now just solve:
✧ 5 x 4 = 20
✧ 20 / ½ = 10
So it'd be 10 m²
~Hope this helps Mate. If you need anything feel free to message me.
if a number is negative, then its opposite will be:
Answer:
the opposite of a negative number is positive.
Step-by-step explanation:
Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.
Convert 4,700,000,000 from standard form to scientific notation. 470 × 107 47 × 108 4.7 × 109 478
Answer:
4.7 * 10 ^9
Step-by-step explanation:
4,700,000,000
Scientific notation is of the form
a * 10 ^b where a is a number between 1 and less than 10
Move the decimal so that it is a number between 1 and less than 10
4,700,000,000 becomes 4.700000000 and we moved the decimal 9 places to the left b is +9 ( positive because we moved to the left) We can drop the extraneous zeros
4.7 * 10 ^9
15+9=?(5+3) please help
Answer:
3
because 15 + 9 = 24
and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24
= 24 = 24
Step-by-step explanation:
Please mark me as the brainliest
George was building a staircase for his dog to get up on his bed. The first step is made from 2 boards, the second out of 4 boards, and the third out of 6 boards. There are 8 steps in the staircase. How many boards did George use to create the last step? A 10 B 12 C 16 D 24
Answer: C
Step-by-step explanation: I am a big brain pro.
Is 7.525225222....... rational or irrational ?
Answer:
It is irrational
Step-by-step explanation:
7.525225222....... is non terminating non reoccurring
Therefore it is irrational
If f(x)=4x-1 and g(x)=1-3x. What is the value of f(g(-2))? a) 26 b) -29 c) 25 d) 24
Answer:
27
Step-by-step explanation:
This isn't one of your answer choices though.
Which of the following has the value of 4
infinite sequences of arithmetic expressions can have a value of 4
Step-by-step explanation:
infinite sequences of arithmetic expressions can have a value of 4