50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
Answer the following linear equations: x3+y3+z3=k
2x – y = 6, x – y = 2
and ax + by = a-b, bx – ay = a+b
TYVM!! :)
Answer:
Linear Equation 1 — 3xyz
Linear Equation 2 — x = 4 and y = 2
Linear Equation 3 — x = 1 and y = (-1)
Step-by-step explanation:
(Linear Equation 1)
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
The required result must be 3xyz.
(Linear Equation 2)
2x − y = 6 ....(1)
x − y = 2 ....(2)
Equation(2)−Equation(1) we get
x − y − 2x + by = 2 − 6
(−x) = (−4)
x = 4
Substitute x = 4 in (1) we get
2x − y = 6
2*4 − y = 6
8 − y = 6
(−y) = 6 − 8
y=2
(Linear Equation 3)
ax + by = a − b .......... (1)
bx − ay = a + b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a²x + aby = a² − ab ..........(3)
b²x − aby = ab + b² ......... (4)
Adding (3) and (4), we get,
(a² + b²)x = a² + b²
x = 1
Now, from (1),
ax + by = a − b
a + by = a − b
by = (−b)
y = (−1)
Hope my answer helps you ✌️
Mark BRAINLIEST
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.
S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}
What is the ordered pair Pls hurry up !!!!!
y=3x +8
5x+8y=6
I don't really understand this question.
Answer:
a) 3/2 or 1 1/2
b) 5/3 or 1 2/3
Step-by-step explanation:
1/2 + 1/2 + 1/2 =
3 x 1/2 =
3/2 or 1 1/2
1/3 + 1/3 + 1/3 + 1/3 + 1/3 =
5 x 1/3 =
5/3 or 1 2/3
Answer: (a) 1 1/2 and (b) 1 2/3
Step-by-step explanation: (a) 1/2 + 1/2 + 1/2 = 1/2 x 3
= 3/2
Now convert this into mixed fractions (basically divide the smaller number of the improper fraction by the the bigger one).
Therefore, 3/2 = 1 1/2 ( 1 1/2 is 1 whole and 1/2)
(b) 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 1/3 x 5
= 5/3
mixed number = 1 2/3 ( 1 2/3 is 1 whole and 2/3)
Candy has some money
She bought a drink for £ 1.45 and a piece of cake for £ 1.20
She now has two thirds of her money left.
How much money did Candy have to start with
Answer:
7.95
Explanation:
1.45+1.20= 2.65
2.65x3=7.95
Please help I am le dum
Answer:
p = 2x + 14
Step-by-step explanation:
Perimeter
p = 2l + 2w
p = 2(x + 2) + 2(5)
p = 2x + 4 + 10
p = 2x + 14
a
15°
b
25°
c
30°
d
60°
∠CAB +∠ CBA +∠ ACB = 180°
Sum of all angle of triangle is 180° ..
75 + 75 + ∠ACB = 180°
∠ACB = 180° - 150°
∠ACB = 30°
Now ,
x = ∠ACB ( being vertically opposite angle)
x = 30°
The angle measure of x is 30°.
What is a Triangle?The polygon known as a triangle has three sides and three vertices.
The triangle's total angle is 180 degrees.
Given that a triangle has 2 known angles measuring 75° and 75°.
Let the third missing angle measure is y.
And y and x are opposite angles in the diagram.
So, x = y.
The sum of all the interior angle measures of a triangle is 180°.
So, 75 + 75 + y = 180
y = 180 - 150
y = 30°
So x = y = 30°
Therefore, x = 30°.
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rite an addition equation to show how you decomposed
7/6
.
Answer:
For the fraction model, fill the whole left bar, and only 1 in the right bar.
The addition equation is:
⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ = 7/6
Explanation:
Since the bar is divided into sixths (1/6 each), just count by 1/6 each time you fill each one and use the equation to represent the process.
On Wednesday, 50 cars received parking tickets. The next day only 24 cars received parking ticket.
What is the percent change?
Answer: -52
Step-by-step explanation:
Answer: -52%
Step-by-step explanation: Number of tickets received on Wednesday = 50
Number of tickets received on the next day = 24
Difference = 24 - 50 = 26
Percentage = -26/50 x 100% = -52%
factor the polynomial. an-mn-n^2+ma
Answer:
(a-n)(n+m)
Step-by-step explanation:
This is the answer for your problem.
Which expression has a coefficient of 2? Choose All
A. x + 2y + 18
B. 1.2a + 4b + 2
C. 24k divided by 12
D. 17 + 2j
E. 2t divided by 100
Answer: A, D, E
Step-by-step explanation:
A. Is correct because the coefficient of 2y is 2. D. is correct because the coefficient of 2j is 2. Lastly, E. is correct because 2t has the coefficient of 2.
A set of eight cards were labeled with D, I, V, I, S, I, O, N. What is the sample space for choosing one card?
S = {V, S, I, D, I, I, N, O}
S = {D, I, S, O, N}
S = {V, I, O}
S = {D, I}
Answer:S = {V, S, I, D, I, I, N, O}
Step-by-step explanation: Im not sure but im pretty sure that this is the answer
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Ashley has with her?
A: 14 m x 10 m
B: 70 m x 70 m
C: 60 m x 10 m
D: 55 m x 10 m
The break-even point occurs when the amount of money they receive from selling popcorn is
equal to the amount of money they spent to make the popcorn. It is when Revenue-Total Cost.
The break-even point tells how many items they must create and sell in order to recover their
expenses.
4. Take the Total Cost and Revenue functions that you developed above, and sketch the graph
of the two functions on one coordinate plane. Label the axes appropriately.
7. Solve the equation R(x)-C(x) for x
5. Estimate the break-even point graphically.
6. To find the break-even point algebraically, write R(x)-C(x).
Picture attached
Step-by-step explanation:
Hello. in order to solve this problem, I need to know the functions for R(x) and C(x). Please repost and I'll gladly help.
A structure covering a sports practice field has the shape of half of a cylinder, as shown. What is the total surface area of the structure to the nearest square yard? Use 3.14 for pi.
Answer: E
Step-by-step explanation: Because yes
HELp
what the least possible digit u can make using 2,0,2,3. AND this number has to be divisible by 4
Answer:
0232
Step-by-step explanation:
0232/4 = 58
A family moves out of a home that is 1,500 square feet into a home that is 2,400 square feet.
What is the percent increase?
help me please if you know how to do this
Answer:hi
Step-by-step explanation:
sorry i needed the points
Answer:
135.6 ft²
Step-by-step explanation:
Surface area of triangular pyramid:In the triangular pyramid, base is an equilateral triangle, and the lateral faces are congruent triangles. So, to find the surface area add the area of base triangle with the area of 3 lateral triangles.
a) Base area of pyramid:
b= 8 cm
h = 6.9 cm
[tex]\boxed{\bf base \ area \ of \ pyramid = \dfrac{1}{2}*b*h}[/tex]
[tex]= \dfrac{1}{2}*8*6.9\\\\=4*6.9\\\\= 27.6 \ ft^2[/tex]
b) Area of one lateral surface area of pyramid:
b = 8 cm
slant height = l = 9 cm
[tex]\boxed{\text{\bf area of one lateral surface area of the pyramid = }\dfrac{1}{2}b*l}[/tex]
[tex]\sf = \dfrac{1}{2}*8*9\\\\= 4 * 9\\\\= 36 \ ft^2[/tex]
c) Lateral surface area of the pyramid = 3 * area of one lateral surface area of pyramid
= 3 * 36
= 108 ft²
d)TSA of pyramid:
[tex]\boxed{\text{\bf Total surface area of pyramid = base area + lateral surface area}}[/tex]
= 27.6 + 108
= 135.6 ft²
There are 30 businesses with 4 executives each for the new office building. Each business needs one office for each of its
executives. The building has 1,440 offices. What is the proportion of executives to offices?
A 1 to 12
B
4 to 1
C
1 to 6
D
6 to 1
Answer:
A. 1 to 12
Step-by-step explanation:
if each business has 4 executives there is a total of 120 executives
30(4) = 120
to find the proportion of executives to offices we divide the number of offices by the number of executives
1440/120 = 12
a more in depth look is
1440 offices / 120 executives
"offices" and "executives" cannot divide each other out, but the 1440 and 120 can so it would be
12 offices / 1 executive
help ASAP please, tysm!
Answer:
22
Step-by-step explanation:
Area of rectangle: 6
Area of triangle: 4+3+1 = 8
8x7=56/2 =28
28-6=22
Answer: 22
Step-by-step explanation:
First, you want to find the area of the triangle with the formula 1/2 × b × h.
1/2 x 8 x 7 = 28
Next, you want to find the area of the smaller rectangle with the formula, b x h
3 x 2 = 6
Then, you subtract the two numbers
28 - 6 = 22
pls help me below....
Answer: (b) - surface area
(c) - volume
One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.
Also if you could have and image of where everything is supposed to be graphed that would be awesome.
Answer:
Table C.
Step-by-step explanation:
------> x = -2, y = -4 --->k = -4 / -2 = 2
------> x = -1, y = -2 --->k = -2 / - 1 =2
------> x = 1, y = 2 --->k = 2/1 = 2
------> x = 2, y = 4 --->k = 4/2 = 2
Table C, has the same value of k
Thus, table c represent a " proportional relationship "
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how can I use A as a different variable.
When differing from X, Y and K
And when having 2x3= A
Even when I know A is a negative number.
You can use A as a different variable by simply assigning a value to it, like any other variable
What is a variable?A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable.
An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable is, in other words, a symbol denoting a number whose value is unknown.
You can use A as a different variable by simply assigning a value to it, like any other variable. For example, you could write "A = -6" to assign the value of negative 6 to A. It's important to remember that A is now a distinct variable from X, Y, and K, and should be treated as such in your code or equations.
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Please help!
Thank you
Answer:
The answer is 11/12! Hope it helps!
guys i need help on my aleks topics pls!
No aswer is correct
Step-by-step explanation:
What is Calculus? Give equations that are an example of calculus.
Answer:
the branch of mathematics that deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences. The two main types are differential calculus and integral calculus.
Step-by-step explanation:
Let f(y) = y2 and g(y) = ey.
The perimeter of a semicircle is 10. 28 miles. What is the semicircle's diameter?
Use 3. 14 for
Answer:
Answer is in attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note the diameter of a circle or a semicircle is:
d = 2 x radius
You flip a coin 8 times and get heads 6 times. so the probability is 6/8
Answer:
yes
Step-by-step explanation:
yes
A student wants to know the approximate distance between London and Beijing. Using a string, she finds that the distance on a globe between London and Beijing is about 36 centimeters and between London and New York is about 22 centimeters. The actual distance between London and New York is about 5000 kilometers. If she lets d represent the approximate distance in kilometers between London and Beijing, what is d rounded to the nearest whole number?
Answer: 8182
Step-by-step explanation:A correct proportion to use is 22 over 5,000 = 36 over d
What is the volume of the prism?
Answer:
Step-by-step explanation:
The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism. = l × w × h, where l, w, and h are the length, width, and height of the rectangular prism.
The volume of the triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm is 32 cm³.
Given is a triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm.
We need to find its volume.
The volume of the triangular prism = base area × height
Here,
Base area = area of the triangle
= 1/2 × base × height
= 1/2 × 3.2 × 2.5
= 4 cm²
And,
Height of the prism = 8 cm
Substituting the values,
V = 4 × 8
V = 32 cm³
Hence the volume of the prims is 32 cm³.
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