This is a sum of cubes:
x⁶ - 27y³ = (x²)³ + (-3y)³
Recall that
a³ + b³ = (a + b) (a² - ab + b²)
So we have
x⁶ - 27y³ = (x² - 3y) ((x²)² - x² (-3y) + (-3y)²)
x⁶ - 27y³ = (x² - 3y) (x⁴ + 3x²y + 9y²)
In ΔBCD, the measure of ∠D=90°, CB = 61, DC = 60, and BD = 11. What is the value of the tangent of ∠B to the nearest hundredth?
Answer:
5.45
Step-by-step explanation:
just did on delta math
Answer:
5.45
Step-by-step explanation:
tan B =tanB= adjacent / opposite = 60/11
≈5.4545≈5.45
On a family road trip, Mr. Edwards travels 130 miles in two hours. At this rate, how many miles will he travel in 30 minutes? (watch the time on this one!) Group of answer choices
Answer:
32.5 miles in 30 minutes.
Step-by-step explanation:
There are a total of 4 - 30 minute segments in a period of two hours. Therefore, in this question, we can simply divide the total distance that Mr Edwards travelled during those two hours by the 4 segments, and that would give us the distance travelled in a single segment of 30-minutes.
130 / 4 = 32.5 miles
Finally, we can see that Mr Edwards travelled 32.5 miles in 30 minutes.
Find E and F!! Please and thanks!
Answer:
m∠E = 61°
m∠F = 61°
General Formulas and Concepts:
Pre-Alg
Equality PropertiesGeometry
Congruent AnglesAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
m∠D = 58°
m∠E = m∠F = x
Step 2: Set up equation
58 + x + x = 180
Step 3: Solve for x
Combine like terms: 58 + 2x = 180Subtract 58 on both sides: 2x = 122Divide 2 on both sides: x = 61°Step 4: Find angle measures
Define: m∠E = x°Substitute: m∠E = 61°Define: m∠F = x°Substitute: m∠F = 61°Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
a) 16 m, 21 m, 39 m
b) 34 km, 27 km, 58 km
c) 29 ft, 38 ft, 9 ft
9514 1404 393
Answer:
a) no
b) yes
c) maybe (no)
Step-by-step explanation:
There are two versions of the triangle inequality. One requires ...
a + b > c
for any triple of side measures a, b, c.
The other allows ...
a + b ≥ c
which admits "triangles" that have zero height and look like line segments.
Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.
__
a)
[tex]16+21=37\ngtr39\qquad\text{not a triangle}[/tex]
b)
[tex]27+34=61>58\qquad\text{could be a triangle}[/tex]
c)
[tex]9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}[/tex]
When factored completely, which is a factor of 6x^3 - 12x^2 - 48x?
Answer:
The answer is 6x(x+2)(x-4)
whats 14 4/10 - 13 1/3 ASAP
Answer:
1 1/15
Step-by-step explanation:
Answer:
16/15 or 1.06.. or 1 1/15
Step-by-step explanation:
:)
Jimmy purchased 15 tickets to a concert and spent $140. He purchased some children's tickets and some adult tickets. The children's tickets cost $7 each and the adult tickets cost $12 each. Write a system that represents this situation. How many of each did Jimmy purchase?
Answer:
Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.
Step-by-step explanation:
Let c = children tickets
Let a = adult tickets
Given the following data;
Number of tickets = 15
Total amount spent = $140
Cost of each children ticket = $7
Cost of each adult ticket = $12
*Translating the word problem into an algebraic equation (system)*
For the total number of tickets;
[tex] c + a = 15 [/tex] .........equation 1
For the total amount spent;
[tex] 7c + 12a = 140[/tex] ..........equation 2
*Solving the linear equation by using the substitution method*
Making c the subject in equation 1:
[tex] c = 15 - a[/tex] .......equation 3
Substituting "c" into equation 2;
[tex] 7(15 - a) + 12a = 140 [/tex]
Simplifying the equation, we have;
[tex] 105 - 7a +12a = 140[/tex]
[tex] 105 + 5a = 140[/tex]
Rearranging the equation, we have;
[tex] 5a = 140 - 105[/tex]
[tex] 5a = 35[/tex]
[tex] a = \frac {35}{5} [/tex]
a = 5 (For the $12 adult ticket).
To find the number of children tickets;
Substituting "a" into equation 3;
[tex] c = 15 - 7[/tex]
c = 8 (For the $7 children ticket).
pls show steps and explain
Answer:
3x+30= 116° 2x=64°
Step-by-step explanation:
the angle below 2x is the same as 3x+20 so we know that 5x+20=180 so solve this
5x+20=180
5x=160
x=32
sub x into the angle equations
3(32)+20=116
2(32)=64
Answer:
x=32°
Step-by-step explanation:
3x+20+2x=180°(being co interior angle)
3x+2x+20=180°
5x=180-20
5x=160
x=32°
3.3.PS-11
Decide whether the table shows a proportional
relationship between x and y.
х
y
4.
3
5
19
4.
4
5
25
1
5
5
1
11
25
Answer:
4y
Step-by-step explanation:
Answer: The table ▼
does
does not
show a proportional relationship between x and y.
y−2x=4
3x−5y=15
The system of equations above is only true if x=-6 or x=-5 or x=5 or x=10 and y=-10 or y=-8 or y=-6 or y=3
Answer:
The answer is x=-5 and y= -8
Step-by-step explanation:
6. Amelia is building a fence and wants it to be 40 feet long. Each panel is 8 feet long, and
she will need a post at each end and between each panel. If she does NOT plan to buy
any extra for waste, how many panels and posts will she need?
Answer:
5.
Step-by-step explanation:
If you know your multiplication, you would know that 8x5=40. so, 40 divided by 8 equals 5. and if you dont have 8x5 memorized, do 5x10. 50. 10-8=2. 5x2=10. 50-10=40. Voila!
Line f passes through points (92, 19) and (-4, 94). Line g is perpendicular to f. What is the slope of line g?
Answer:
1.28
Step-by-step explanation:
slope of line f = (94 - 19)/(-4 - 92) = -75/96
since line g is perpendicular to line f, the product if their slope = -1
therefore, 75/96 x slope of line g = -1
slope if line g = -1/(-75/96) = 96/75 = 1.28
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Complete the sentence.
A ___ is an amount of decrease in price.
Answer:
Discount ?
Step-by-step explanation:
help fast timed hurry please
Answer:
b: 4
Step-by-step explanation:
Answer:
B:4
Step-by-step explanation:
what is 1.24 x 10^ -2 in standard form ?
Answer:
0.0124
Step-by-step explanation:
The negative sign means that we need to move the decimal sign to the left. Since it's -2, the decimal place will be moved to 2 places to the left. From 1.24, it will become 0.0124
) (i) Simplify:
Permudahkan:-
9 + 3t - 4
Answer: =3t+5
Step-by-step explanation:
hope this helped
20 points!! Answer ASAP please! Determine the equation of the line that passes through the given points. ( If you have a graphing calculator, you can
use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 82) and (2.7.3)
Need Help ASAP! Thank you!
Answer:
b.
Step-by-step explanation:
B because the slope of f(x) is 1 yet the slope of g(x) is 1/3
A clothing store is having a sale in which all T-shirts are $10. The sales tax is 5%. If Dan buys n T-shirts during this sale, the total cost of his purchase will be 10n + 0.05(10n). Interpret the meaning of 0.05(10n) in this context
Answer:
Step-by-step explanation:
Cost of 1 T-shirt = $ 10
Sales tax for 1 T-shirt = 5% * 10 = 0.05 * 10
Cost of n T-shirt = $ 10n
Sales tax for 'n' T-shirts = 0.05 * (10n)
Sales tax on 'n' T-shirts = Sales tax for 1 T-shirt * (Cost of n T-shirt)
Answer:
the cost of the t shirt = 10 times the sale tax which is 5%
Step-by-step explanation:
Only smart bros answer
Answer:
178.695
Step-by-step explanation:
Answer the document please
help again...brainliest
Answer:
A.
Step-by-step explanation:
Atom is the smallest thing g possible and organ is the biggest on that list.
What is the value of x?
Answer:
x = 8
Step-by-step explanation:
recall that all internal angles of a triangle sum up to 180 deg
we are given that ∠F is a right angle = 90 deg
Simply sum all all the angles and equate the sum to 180 deg
90 + (3x+29) + (5x-3) = 180
90 + 3x+29 + 5x-3 = 180
90 + 3x+29 + 5x-3 = 180
116 + 8x = 180 (subtract 116 from both sides)
8x = 180 - 116
8x = 64 (divide both sides by 8)
x = 64/8
x = 8
Create a simplified equivalent expression: 4x + 3^3 - 2x *
Mr. Duncan earns 75$ a day plus 35$ for each car he sells. if c is his total earnings and x is the number of cars he sold, what is the equation
Answer: c= 35x + 75
Step-by-step explanation:
If he earns $75 then that will be the constant amount which means it will never change, plus $35 for x cars, will give us the expression 35x + 75 and that has to equal c which is his total earnings.
Answer:
c = 35x + 75Step-by-step explanation:
Daily pay = $75Commission for each car = $35Total earnings for x cars sold:
c = 35x + 75Ashley found 2 boxes of sugar in the kitchen. The green box is 1.26 kg and the red box is 1.026 kg. Which box contains more sugar?
Answer:
Answer:
Green box contains more sugar.
Step-by-step explanation:
Consider the provided information.
Ashley found 2 boxes of sugar in the kitchen.
The green box says 1.26 kg and the red box says 1.026 kg.
we need to find which box contains more sugar.
To find this we will first check the digit at ones place.
Both the digit has 1 at the ones place. So now check the digit at tenths place.
1.26 has 2 at tenths place while 1.026 has 0 at tenths place.
As we know 2 is greater than 0, thus the number 1.26 is greater than 1.026.
Hence, green box contains more sugar.
Multiply out and simplify: (x + 6)(x - 2)
Answer:
x squared+4x−12
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 4x - 12[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)[/tex]
[tex] = > x(x - 2) + 6(x - 2)[/tex]
[tex] = > {x}^{2} - 2x + 6x - 12[/tex]
[tex] = > {x}^{2} + 4x - 12[/tex]
Pls I need help !!!!!
Answer: 6.324555 ?
Step-by-step explanation: The distance formula is the square root of
((-5-(-7))² + (7-1)²)
(-5-(-7))=2, and 2² = 4.
(7-1)=6, and 6²=36.
4+36=40
the square root of 40 is about 6.324555.
Sorry if I got this wrong
ILL GIVE BRAINLIST!! PLEASE HELP!!
Answer:
125
Step-by-step explanation:
125x5=625
125x8=1000
Please help with this question. Thank you!
Answer:
403.8 cm
Step-by-step explanation:
Refer to the picture that given