Answer:
Use the distributive property to multiply the factors on the right side of the equation.
Simplify the product by combining like terms.
Show that the right side of the equation can be written exactly the same as the left side.
Show that the right side of the equation simplifies to a cubed minus b cubed.
Step-by-step explanation:
The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.
We want to prove that;
a³ - b³ = (a - b)(a² + ab + b²)
Now, to solve this we need to understand the distributive property of algebraic functions.This distributive property means distributing an item over others in a bracket. For example; a(b + c) = ab + acApplying this same distributive property to our question gives us;(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)
Multiplying out the brackets gives us;
a³ + a²b + ab² - a²b - ab² - b³
Like terms cancel out to give us;
a³ - b³.
This is same as the left hand side of our initial equation and thus it has been proved.
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Given the equation: 3x − 4y = 8,
a) write an equation of a line parallel that passes through the point (-16, 4).
b) write an equation of a line perpendicular that passes through the point (9, -7).
Answer:
use slope intercept formula
y=Mx +b
Step-by-step explanation:
3X-4Y=8
3X-8 = 4Y
y = 3/4x-2
our new equation just needs to have the same slope M= 3/4
y-y1=M(x-x1)
y-4=3/4(x-(-16))
y=3/4x+12+4
y=3/4x+16 answer a
for a perpendicular line.. just take the inverse of the slope... and change the sign. so now our slope is - 4/3
plug in our new point (9,-7)
y-(-7) = -4/3(x-9)
y+7=-4/3x+12
y= -4/3x +5 answer b
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]
Construct a line parallel to line m through point x
PLS HELP!!!
Step-by-step explanation:
hope this helps! just remember the terms and it will get easier
-------×---------
-----------------m
(Look at picture.............)
Answer:
3460
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
imin middle school
Which of the following describes the transformation from figure 1 to figure 2 shown on the graph below
Answer:
(x+5, y-2)
Step-by-step explanation:
Move right 5 units and moves down 2 units
oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run
Answer:
10 miles
Step-by-step explanation:
You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.
20. Bob had 7/8 pack of construction paper. If he used 1/5 of the paper to 5 points
make a paper plane, how many WHOLE paper planes could he make? *
Answer:
3
Step-by-step explanation:
he has 7/8 paper divided by 1/5 paper it takes to make the paper plane, it equals 3.5. Three whole ones
what is the best estimate of 45 percent of 76
9514 1404 393
Answer:
In order of improvement:
383434.2 (actual value)Step-by-step explanation:
In my engineering experience, a method of estimating should satisfy two requirements:
it should be relatively easy to accomplish mentallyit should provide a means of estimating the error in the estimate__
Multiplication and division by 2 are generally easy to perform mentally.
We note that 45% is about 50%.
50% of 76 is 76/2 = 38 . . . a good starting estimate
45% is down 5% from 50%, so the actual value will be 5/50 = 10% lower than this first estimate
A good second estimate is 38 -0.10(40) = 34.
A better estimate is 38 -3.8 = 34.2, which is the actual value of the expression.
_____
Alternate approach
You could also transform the problem to 76% of 45, which is about 3/4 of 44, or about 33. Figuring the error adjustment on this approach is somewhat more difficult, as it is factors of 1/75 and 1/44 too low. 1 part in 44 is not too difficult to figure, as it is 33/44 = 3/4, so a better estimate is 33.75. It takes a calculator to figure 1 part in 75 of this, which is 0.45. Adding that amount gets you to the actual value of 34.2.
4.8(x-1.75)= -9.6 but without the distributive property
convert 565900 seconds into days
Answer:
1 day = 86400 seconds
565900 divided by 86400 =
Step-by-step explanation:
a little more than 6 days
plz mark brainliest
what is the dacimal form of 672.937%
Answer:
6.72937
Step-by-step explanation:
672.937%
(calculate)
[tex]\frac{672.937}{100}[/tex]
(convert the expression)
6.72937
(there's your answer)
Please help will give brainliest answer
Answer:
side C'D' = 2.8 units
Step-by-step explanation:
Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)
Therefore side C'D' = 2.8 units
instructions: analyze the diagram below and complete the instructions that follow
Answer:
75°
Step-by-step explanation:
x+60=5x. (vertical angles)
4x=60
x=15
m<GJI = x+60
=15+60 = 75°
Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten
Answer:
[tex]\frac{1}{10} h\leq 10[/tex]
Step-by-step explanation:
Basically, we are just translating the phrase into an algebraic expression.
plz i need help i promise i will mark brainliest
Answer:
Step-by-step explanation:
D
equivalent fractions for 2 1/5 and 1 5/6 with common denominator 30
Answer:
[tex]\frac{66}{30} and \frac{55}{30}[/tex]
Step-by-step explanation:
Firstly, let's get the fractions out of mixed form.
2 1/5 = 11/5
(To do this, multiply 2 times 5 and add to the 1.)
1 5/6 = 11/6
(To do this, multiply 1 times 6 and add to the 5.)
Next, let's get the common denominator. When making a common denominator, keep in mind you must multiply/divide both the numerator and denominator.
[tex]\frac{11}{5} * \frac{6}{6} = \frac{66}{30}[/tex]
and
[tex]\frac{11}{6} * \frac{5}{5} = \frac{55}{30}[/tex]
In a coordinate plane, plot the points and sketch
angle. Write the coordinates of a point that lies in the interior of the
angle and the coordinates of a point that lies in the exterior of the
angle.
A(-5,0)
B(-1,-4)
C(4,2)
Answer:
A.
Step-by-step explanation:
Part C
Solve the equation or inequality for the unknown number. Show your work.
Helppp
Answer:
x = 5
Step-by-step explanation:
write a word phrase for x/4-17
Answer:
a number x divided by four, minus seventeen
or
seventeen less than a quarter of a number x
or
a quarter of x take away seventeen
Step-by-step explanation:
There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x or a quarter of x (especially since 'of' in math means multiplication). Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!
HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an
equation that represents this situation is d-50t.
Enter the smaller of the two constants of proportionality.
Answer:
t=8
Step-by-step explanation:
400 divided by 50 hopefully that helps with your question
Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and
placed in a hat. One piece of paper is randomly selected from the hat. Use the Venn diagram shown
to help you determine the probability that the number selected is odd or less than 5.
Step-by-step explanation:
i dont see a venn diagram but i think the number is probably more than 5
The probability that the number selected is odd or less than five will be 0.20 or 20%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and placed in a hat.
One piece of paper is randomly selected from the hat.
Then the probability that the number selected is odd or less than 5 will be
Total event = 10
Favorable event = 2 {1, 3}
Then the probability will be
[tex]\rm P = \dfrac{2}{10}\\\\P = 0.2 \ or \ 20\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
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Express 7.409 in word form.
Find the 7th term in the sequence -1,2,-4,8
=======================================
Work Shown:
We have a geometric sequence
a = first term = -1
r = common ratio = (second term)/(first term) = 2/(-1) = -2
nth term
a(n) = a*(r)^(n-1)
a(n) = -1*(-2)^(n-1)
Now plug in n = 7 to get the 7th term
a(n) = -1*(-2)^(n-1)
a(7) = -1*(-2)^(7-1)
a(7) = -1*(-2)^6
a(7) = -1*(64)
a(7) = -64
The first seven terms are
-1, 2, -4, 8, -16, 32, -64
To get each new term, we multiply the last term by the common ratio -2
Which relationships have the same constant of proportionality between Y and as the equation Y=5/2 X
Answer:
I'm pretty sure it's 10/4 but I'm not totally sure
Answer:
on Khan the answer is B,C,E
2 QUESTIONS: 1. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent? (picture included) 2. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent?
Answer:
Step-by-step explanation:
number one is SAS
1. B. ΔJKE ≅ ΔLYE because SAS.
2. E. No enough information to prove the triangles are congruent.
What is the SAS Theorem?The SAS theorem is a triangle congruence theorem which states that two triangles which have two pairs of corresponding sides that are congruent and a pair of corresponding included angles that are congruent are congruent triangles.
1. Based on the SAS theorem we can conclude that: B. ΔJKE ≅ ΔLYE because SAS.
2. In the triangles given, we are only given that they have two pairs of corresponding congruent sides. No known congruent sides were given. Therefore, we don't have enough information. The answer is: E. No enough information to prove the triangles are congruent.
Learn more about SAS theorem on:
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Six times the sum of a number and eight is 18 find the number
Answer:
-5
Step-by-step explanation:
Find the number with the equation 6(x + 8) = 18
solve for x to get -5
Step-by-step explanation:
6*(x+8)=18
x+8=18/6=3
x=3-8=-5
prove
(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=
3+3+3+3+3+3=18
What is the estimated sum of 503, 472, 486, 499, 539, and 522?
Answer:
3021
Step-by-step explanation:
Answer:
Your answer is: Estimated is: 3,000
The real answer was:
↓
3,021.
Step-by-step explanation:
Hope this helped : )
Solve for x.
x-4/5= -1/3
Answer:
x = 1 2/15
Step-by-step explanation:
1/3 is equivalent to what percent
Answer: 33.33%
Step-by-step explanation:
Answer:
33.3333...%
Step-by-step explanation:
33 x 3 = 99.9999...
Eric picks 58 basket of strawberries. Kiki picks 15 basket of strawberries.
Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?
A 0 baskets
B 12 basket
C 34 basket
D 1 basket
Answer:
C- 34 baskets.
Step-by-step explanation:
Since the answer to the actual problem is 43, it would make sense to pick the number closest to that, which is 34. hope this helps <3
-brooke :)
Answer:
1/2 basket
Step-by-step explanation:
confirmed!