ax+by=a−b .......... (1)
bx−ay=a+b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a
2
x+aby=a
2
−ab ..........(3)
b
2
x−aby=ab+b
2
......... (4)
Adding (3) and (4), we get,
(a
2
+b
2
)x=a
2
+b
2
⇒x=1
Now, from (1),
ax+by=a−b
a+by=a−b
by=−b
y=−1
Answer:
The equation represents a polynomial equation in which the variables X, y, and z are raised to the third power and are equal to a constant value "k".The degree of the polynomial is 3, meaning that the highest power of the variable is 3. The equation has no solution if k is not a sum of three cubes of real numbers.A polynomial equation is an equation that involves one or more variables raised to apower, or exponent, and can include constants and coefficients. The sum or difference of two or more such equations is also a polynomial equation. The degree of a polynomial equation is the highest power of the variable in the equation. For example, in the equation , the degree is 2 because the highest power of the variable X is 2.A polynomial equation of degree one is a linear equation, and a polynomial equation of degree two is a quadratic equation. The solutions of a polynomial equation of degree n will be n roots/solutions. The solutions can be real or complex numbers.
Dillon walked around the rectangular field 3 times and covered a distance of 240m. Calculate the area of the field.
Answer:
80
Step-by-step explanation:
240÷3=80
16×5=80 so i think its 80
Answer: hope this helps ♡
The area of the field is 80m.
Step-by-step explanation:
3 times = 240m
1 time(s) = 80m (area - we divided 240 and 3 by 3)
A = ɭ × w
A = 80
w = 16
ɭ = ?
ɭ = 80 ÷ 16 = 5
A = 16 × 5 = 80 ✓
Which expression is equivalent to 16. 8−18. 6
A. 18. 6-16. 8
B. 16. 8-(-18. 6)
C. -18. 6+(-16. 8)
D. 16. 8+(-18. 6)
Answer: Answer is D
Step-by-step explanation:
The expression 6x^2 gives the surface of a cube and the expression x^3 gives the volume of a cube where x is the length on one side of the cube. Find the surface area and the volume of cube with a length of 2 m
Answer: the answer is 24 & 8 look at the image for the explanation
Step-by-step explanation:
The coordinates of the endpoints of QR are Q (8, 2) and R (5, 7). Which measurement is closest to the length of QR in units? A 5. 8 units B 5 units C 4 units D 3. 9 units
Answer:
qr is = to 5.83 so its closest to 5.8
so A my guy brainlyness please
Step-by-step explanation:
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad R(\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QR=\sqrt{(~~5 - 8~~)^2 + (~~7 - 2~~)^2} \implies QR=\sqrt{( -3 )^2 + ( 5 )^2} \\\\\\ \implies QR=\sqrt{ 9 + 25 } \implies QR=\sqrt{ 34 }\implies QR\approx 5.8[/tex]
∠1 and ∠2 are supplementary.
m∠1=124°
m∠2=(2x+4)°
What is the value of x?
Options:
13
26
40
36
41
Answer:26
Step-by-step explanation:Since angles 1 and 2 are supplementary, it follows that there sum is 180°.
On this note;
Sum of 1 and 2 is;
180 = 124 + (2x + 4)°
(2x + 4)° = 180 -124
2x = 56 -4
2x = 52
x = 26°.
Which is equivalent to 2r⋅2r⋅2r⋅2r⋅2r⋅2r?
2r6, (2r)6, 12r6, or 12r
Answer:
Step-by-step explanation:
would be 64 r^6
5z = 15 I NEED HELP RNNN
Answer:
z=3
Step-by-step explanation:
First, you need to divide both sides by the same factor.
5z=15
5/5= 1=z
15/5=3
and then you get the total of 3.
Dont forget to verify or show your work.
Answer: 3
Step-by-step explanation:
5/5 = 15/5
z=3
List the sample space of a fair, 11-sided number cube rolled while playing a board game.
S = {1,11}
S = {1}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
S = {1, 2, 3 ,4, 5, 6, 7, 8, 9, 10, 11}
Answer:
The sample space is {1,2,3,4,5,6,7,8,9,10,11}
Step-by-step explanation:
You had the answer mate :)
Just list all the numbers of possible outcomes.
Can someone explain 3, 4, and 5 ?
Answer:
3. B
Step-by-step explanation:
3. B
This is because if you find the GCF of 6 and 12 you will get 3.
3(p+m) hence why three is at the beginning.
you will then divide 6 and 12 by three and put them inside the parentheses with their corresponding variable.
3(2p+4m)
if you multiply this you will get
6p+ 12m
Answer:
Step-by-step explanation: for 3 you have yo find what is equivalent to 6p+12m so the answer is c. 6(p+12M) for 4 you are explaining what will happen if g is 1 and g is 3. for 5 you have to explain what is the constant rate.
The triangle shown on the coordinate grid is translated 6 units to the right and 3 units down.
Which would be the measure of an angle of the resulting triangle?
(ignore the answer i choose lol) but pls help me
Answer:
75°
Step-by-step explanation:
Even if a triangle is translated, the original shape stays the same.
So, to get the answer, first add the first two angles of the triangle:
60 + 45 = 105
Then, subtract from 180, because 180 is equaled to all the angles added up on any triangle:
180 - 105 = 75.
So, you get 75°.
Roger made cookies and gave three tenths of the cookies to his friend Paul. He then gave away another five tenths to his friend Rebecca. What fraction of his cookies did Roger give away in all?
a. eight tenths of his cookies
b. five tenths of his cookies
c. three tenths of his cookies
d. two tenths of his cookies
(ignore my answer i choose), but pls help me
the question says: sal graphed a circle on the grid below.
sal translated the circle 6 units to the left and 7 units up. Which grid shows the result of this translation?
A. B. C. or D.
Answer:
the third choice
Step-by-step explanation:
take the center of the circle of the graph (4, -2)
move it 6 units to the left and 7 units up
so basically subtract 6 from 4
and add 7 to -2
to get
the center is (2, 5)
PLS HELP ASAP The first hexagon is dilated to form the second hexagon.
Select answers from the drop-down menus to correctly complete the statements.
The scale factor is A. 0.25 B 4
This represents A an enlargement B. a reduction
And its 0.2 And it grows to 0.8
Please help me
Answer:
The scale factor is 4, which represents an enlargement. And it grows from 0.25 to 0.8.
Step-by-step explanation:
The original hexagon has been enlarged by a scale factor of 4, meaning that each length and width of the original hexagon has been multiplied by 4. This means that the dimensions of the second hexagon are 4 times larger than the dimensions of the first hexagon.
In this case, the original side length of 0.25 has been multiplied by 4, resulting in a new side length of 0.25 * 4 = 1. This represents an enlargement of the original hexagon, since all dimensions have increased.
To summarize, the first hexagon has been scaled up by a factor of 4 to form the second hexagon, resulting in an enlargement of the original shape. The side length of the original hexagon has increased from 0.25 to 0.8, which represents the growth of the hexagon.
A building in a city has a rectangular base. The length of the base measures 60 ft less than three times three times the width. The perimeter of this base is 880 ft. What are the dimensions of the base?
Answer:
Answer is in the attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note the perimeter of the rectangle is:
Perimeter = 2 x Length + 2 x Width
Help! I'm adding and not getting any of the choices!
Answer:1 2/8
Step-by-step explanation:
When you add these two fractions together you get 10/8 that simplified is 1 whole pizza with 2/8
Answer:
1 2/8
Step-by-step explanation:
You add the 4 and 6 to get 10/8 then put it in a proper fraction
"Evaluate each expression if a = 9, b = 3
15b + a^2"
Answer:
The answer for the expression is 126! Hope it helps!
Mark translated trapezoid ABCD to trapezoid A’ B’ C’ D’. Vertex B was at (4,3). If B’ is now at (-2, 2), what did he have to do to get there?
A) move 6 left and 1 down
B) move 6 down and 1 left
C) move 2 left and 1 down
D) move 2 down and 1 left
Answer: A) move 6 left and 1 down
Step-by-step explanation:
4-6= -2
3-1=2
The faces on a number cube are numbered from 1 to 6, when an odd number is rolled during a game, the player moves
that many spaces, when an even number is rolled, the player moves twice that number of spaces.
Part A Enter the correct numbers in the boxes complete the diagram.
Answer:
62
Step-by-step explanation:
PLS HELP ME>|!
IF ITS RIGHT WILL MARK BRAINLIEST
Answer: 10x = 4 is x = 0.4.
To solve the equation 10x = 4, we want to isolate the variable x on one side of the equation.
First, we divide both sides of the equation by 10:
10x / 10 = 4 / 10
Simplifying:
x = 0.4
Therefore, the solution to the equation 10x = 4 is x = 0.4.
A cylinder has a radius of 3 cm and a height of 5 cm. Please answer in either fraction, mixed number or decimal.
Answer:
Volume: 45π or about 141.371669412
Step-by-step explanation:
Cylinder Volume Formula [π *(r^2)]*h
r: 3
h: 5
3^2 = 9
9π*5 = 45π or about 141.371669412
ILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTSILIKETRAINS PLS HELP 30 POINTS
PLEASE GIVE BRAINLIEST!
thank you and have a good day :)
Answer:
First Question's Answer = 7 + A
Second Question's Answer = (2 x 5) x 7
Step-by-step explanation:
The commutative property of addition states that numbers can be added together in any order without changing the resulting sum.
Therefore, A + 7 = 7 + A
The associative property of multiplication states the way in which three or more terms are grouped does not change the product.
therefore, 2 x (5 x 7) = (2 x 5) x 7
Elsa and Anna are running a race. Elsa is running at a rate of 2 meters per second and Anna is running at a rate of 1.75 meters per second. If Anna is given a 10 meter head start, how many seconds would it take for Elsa to catch up? Use an equation or system of equations to solve.
Answer:
87.5 sec or about 1.45 minutes
Step-by-step explanation:
At summer camp, 60 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking.
Outcome Frequency
Swimming 26
Hiking 34
Compare the probabilities and determine which statement is true.
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 34 over 60.
The theoretical probability of swimming, P(swimming), is 26 over 34, but the experimental probability is one half.
The theoretical probability of swimming, P(swimming), is 26 over 60, but the experimental probability is one half.
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 26 over 60.
Answer:
The theoretical probability of swimming, P(swimming), is 26 over 60, but the experimental probability is one half.
Step-by-step explanation:
How to calculate the probability
The ratio between the number of favorable events and the total number of conceivable outcomes is known as the theoretical probability.
The experimental probability can be calculated mathematically using the following formula: Probability of an Event P(E) = Number of Times an Event Occurs / Total Number of Trials.
The experimental probability will be:
= Frequency for swimming / Total frequency
= 26 / 60
[tex]\frac{k}{-3}[/tex] + 3+-2 a two step equation
Answer:A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true. Example 1 We're given an equation and asked to solve for x x: 3 x + 2 = 14 3x + 2 = 14 We need to manipulate the equation to get x x by itself.
Step-by-step explanation: i took the test and got it right
An airplane's distance traveled is monitored over time. The results are displayed in this table.
at is the constant of proportionality of this proportional relationship?
Answer: The Constant of Proportionality is 506.
Step-by-step explanation:
At 1 hour the plane traveled 560 Miles and at the second hour it had traveled 1,120 miles.
560+560=1,120 and if you add 560 to 1,120 you will get 1,680 which is the distance traveled at 3 hours. Therefore the answer is 560.
Chau is a software salesman. His base salary is $2300, and he makes an additional $50 for every copy of Math is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of Math is Fun.
Answer: hope this helps ♡
P = $3600
Step-by-step explanation:
P = total pay
N = num of 'Math is Fun'
P = $2300 + $50(N)
P = $2300 + $50(26)
P = $2300 + $1300
P = $3600
Find the value of x. Assume that segments that appear to be tangent are tangent
Answer:
i think you did not put a photo
Step-by-step explanation:
this cant be solved
need the answer real bad
Answer:
Step-by-step explanation:
nah wrd
Find the volumes to prove whether or not Alice is right.
Which expression is equivalent to x+x+x+x+x+x?
6x, 6+x, 6x^6, or 6+x^6?
