Assuming you want to do a cartesian product, then you basically form items (x,y) such that x is in set A, and y is in set A
More generally, A * B will consist of items of the form (x,y) such that x is in A and y is in B. However, we have B = A.
So,
A * A = {
(a,a), (a,b), (a,c)
(b,a), (b,b), (b,c)
(c,a), (c,b), (c,c)
}
I broke things up into separate rows to show that we can form a 3x3 table. Each row is a different x value from the set {a,b,c}. Each column is a different y value from the set {a,b,c}
In my opinion, this helps organize things much better than rather have it all on one single line like this
A * A = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c), (c,a), (c,b), (c,c) }
which in all honesty looks like a bit of a cluttered mess.
Answer:
Step-by-step explanation:
A={a,b,c}
A×A={a×a,a×b,a×c,b×a,b×b,b×c,c×a,c×b,c×c}
What is the result of substituting for y in the bottom equation?
y=x-7
y=2+2x-4
Answer:
Plug x-7 in for y, in the bottom equation.
x - 7 = 2 + 2x - 4
x - 7 = 2x - 2
x = 2x + 5
-x = 5
x = -5
What is the factored form of 1,458,43 – 2?
Answer:
Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.
What is the perimeter of the following figure
Answer:
13
Step-by-step explanation:
7 cm +1 cm +2cm +2cm :12cm
If F is the function defined by F(x)=3x−1, find the solution set for F(x)=2.
A. {13}
B. {8}
C. {5}
D. {1}
Answer:
D. {1}
Step-by-step explanation:
F(x)=3x−1
Let F(x) =2
2 = 3x-1
Add 1 to each side
2+1 = 3x-1+1
3 =3x
Divide by 3
3/3 = 3x/3
1 =x
What the equation for the slope intersection for the graph tue picture that showing ?
Answer:
Y = -5X +-1
Step-by-step explanation:
x1 y1 x2 y2
-1 4 1 -6
(Y2-Y1) (-6)-(4)= -10 ΔY -10
(X2-X1) (1)-(-1)= 2 ΔX 2
slope= -5
B= -1
Y =-5X +-1
maths question please help !! thank u :)
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) (Multiply both sides by 3)
3D= 2E +2F -----(3) (Expand)
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
how do i solve this??
Answer:
10q^2+3q
Step-by-step explanation:
All you have to do is combine like terms I think
(I haven't done this stuff in ages so I'm most likely wrong)
Answer:
10q^2+3q
Step-by-step explanation:
2q^2 +3q +8q^2
Combine like terms
10q^2+3q
find the length of one side of a regular hexagon if its perimeter is 24 x+48
A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16
Answer:
C ) 4 x + 8
Step-by-step explanation:
( 24 x + 48 ) / 6
4 x + 48
The length of a regular hexagon is:
4x ₊ 8
How many sides do a hexagon have? How do we calculate the length and parameter of it?
A regular hexagon have six sides.
The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.
Solution:
Given,
parameter of a hexagon = 24x ₊ 48
length of one side of a hexagon s = p ÷ 6
s = 24x ₊ 48 ÷6
s = 4x ₊ 8
Hence we get the length of one side as 4x ₊ 8
Learn more about "shapes" here-
brainly.com/question/25965491
#SPJ2
HElp ASAP
A cement truck mixes 1 part cement
with 4 parts sand. If 2.5 cubic yards of
cement are used, how much sand is
needed for the mixture?
a. 6.25 cubic yards
b. 7.5 cubic yards
c. 10 cubic yards
d. 12.5 cubic yards
Answer: The answer is already there
Step-by-step explanation:
Which of the following is the most direct first step in solving the system of equations be-
low using the elimination method?
x + y = 4
2x - y = 2
That is, which of the following would be the first step in a method that would require the
fewest number of steps?
A
multiplying the second equation by -2
B
adding the two equations together
С
multiplying the first equation by -2
D
multiplying both equations by 2
Step-by-step explanation:
Multiply each equation by a suitable number so that the two equations have the same leading coefficient. Step 2: Subtract the second equation from the first. Step 3: Solve this new equation for y. Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
Find the value of x in the triangle shown below.
Answer:
x=80
Step-by-step explanation:
The base angles have to be the same since the sides are both 14
The sum of the angles of triangle is 180
50+50+x = 180
100+x= 180
x = 180-100
x= 80
if you can type 55 words in 20 seconds how long would it take to type 1,007 words
Answer:
2769.25Secound...........
Match the range of the function f(x) = x2 + 2x − 1 to its domain.
2 -2 3 -3
2 --
14 --
7 --
-1 --
Answer: (2,7) (-2,-9) (3,11) (-3,-13)
Step-by-step explanation:
(2)(2)+(2)(2)-1 = 7
(2) (-2)+(2)(-2)-1 = -9
(3)(2)+(2)(3)-1 = 11
(-3)(2)+(2)(-3)-1 = -13
The diameter of your bicycle wheel is 25 inches. How far will you move in one turn of your
wheel?
a) 25 in
b) 78.5 in
c) 250 in
d) 246.49 in
e) 50 in
Answer:
b) 78.5
Step-by-step explanation:
distance you will move = circumference of wheel = πd = π(25) = 78.53981
The distance between points A(0,1) and B(x, 4) is p
34. Find the x coordinate for point B.
Answer:
X = (P^2 - 9) ^ 1/2
Step-by-step explanation:
P^2 = (4 - 1)^2+ (0 -X)^1/2
Parker is planning to build a playhouse for his sister.The scale model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height
Answer:
[tex]10 \times 3.5 = 22x[/tex]
Step-by-step explanation:
It is given that:
Parker wishes to construct a [tex]\text{playhouse}[/tex] for his sister. The width and the height of the house is not scaled to the yard space.
So the width of the play house = 22 centimeters
The height of the play house = 10 centimeters
Bu the space in the [tex]\text{yard is large}[/tex] enough that a play house can be constructed so that it have a width of [tex]3.5[/tex] meters.
So the cross multiplication of the proportion that parker uses to find the height of the playhouse is given by : [tex]10 \times 3.5 = 22x[/tex]
Answer:
The answer is C, (10) (3.5) = 22 x
Hope this helped!
P. S. : Can I get brainliest please?
Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).
THIS IS 60 POINTS BTW
Answer:
2nd option
Step-by-step explanation:
If f(x) is an even function , then
f(x) = f(- x)
f(x) = x² - x + 8
f(- x) = (- x)² - (- x) + 8 = x² + x + 8
Since f(x) ≠ f(- x) then f(x) is not an even function
line r passes through on the same spot on the y axis as line z and also passes through the point (1,4). If the equation for line z is y= -2x + 3, what is the equation of line r
Answer:
r= x + 3
Step-by-step explanation:
They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3
Use prime factor decomposition, to find the HCF of 90 and 210!
Answer:
30
Step-by-step explanation:
90 = 2 × 3^2 × 5
210 = 2 × 3 × 5 × 7
HCF = 2 × 3 × 5 = 30
NEED HELP ASAP!!!!!!
Performance Task Vector Operations
e) Draw u + 3v – 1/2w
Answer:
(2, -6)
Step-by-step explanation:
u = (5, 0)
v = (-2, -1)
w = (-6, 6)
(5, 0) + 3(-2, -1) - 1/2(-6, 6)
= (5, 0) + (-6, -3) + (3, -3)
= (2, -6)
Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.
Answer:
-13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-11w - 4 = 7
3w - 10
Step 2: Solve for w
[Addition Property of Equality] Add 4 on both sides: -11w = 11[Division Property of Equality] Divide -11 on both sides: w = -1Step 3: Evaluate
Substitute in w: 3(-1) - 10Multiply: -3 - 10Subtract: -13Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
m% of a number equals n. can you find the number?
Answer:
mn/100
Step-by-step explanation:
m/100 * n = number = mn/100
Assuming m and n are variables with no values.
One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?
Answer:
22 degrees
Step-by-step explanation:
Corresponding angles in similar triangles are equal
So the corresponding angle would be 22 degrees
The function c(n) below relates the number of bushels of apples picked at a pic-your-own orchard to find cost for the apples it takes as input the number bushels of apples picked after paying an entry fee to an orchard and it returns as output the cost of the apples (in dollars) c(n)=15n+30
Answer:
C(n) = 20n + 15
y = 20n + 15
20n = y - 15
n = (y - 15)/20
N(c) = (c-15)/20
Step-by-step explanation:
Answer:
N(c)= c-30/ 15
A shopkeeper marks his goods 25% above the cost price and gives discount of 10% on the marked price white gain percent make
answer is 6.3
I've had this question before
PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.
Answer:
the two points are (-3,-3
Step-by-step explanation:
You must first check if the line is a straight line two the you check the intersection of the two points and the write it
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
I need help please I don't understand
Answer:
57.2
Step-by-step explanation:
This is a right triangle so we can use trig ratios.
We are asked to find a side when we know a angle adjacent to that side. And we are given a side opposite of that angle. We can use Tangent to find the side length.
[tex] \tan(40) = \frac{48}{x} [/tex]
Take the reciprocal of both sides.
[tex] \frac{1}{ \tan( 40) ) } = \frac{x}{ 48} [/tex]
Multiply both sides by 48.
[tex] x = \frac{1}{ \tan(40) } \times 48[/tex]
[tex]x = 57.2[/tex]
Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0,2)
Answer:
The answer is (A)
Step-by-step explanation:
