The set A × A is the Cartesian product of A with itself, which is defined as the set of all possible ordered pairs (a, b) where a and b belong to A. So, in this case, A × A is:
A × A = {(2,2), (2,5), (5,2), (5,5)}
Now, we need to find the subset of A × A that is defined by the ≤ relation on A. The relation ≤ on A means that an ordered pair (a,b) is in the subset if and only if a ≤ b. So, we can go through each ordered pair in A × A and check if it satisfies this condition.
(2,2) satisfies the condition because 2 ≤ 2.
(2,5) satisfies the condition because 2 ≤ 5.
(5,2) does not satisfy the condition because 5 is not less than or equal to 2.
(5,5) satisfies the condition because 5 ≤ 5.
Therefore, the subset of A × A defined by the ≤ relation on A is {(2,2), (2,5), (5,5)}, which corresponds to option B. So, the answer is B: {(2,2),(5,5),(2,5)}.
Learn more about subset: https://brainly.com/question/13265691
#SPJ11
The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid
Given:
The bases of a trapezoid lie on the lines
[tex]y=2x+7[/tex]
[tex]y=2x-5[/tex]
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
On comparing [tex]y=2x+7[/tex] with slope intercept form, we get
[tex]m_1=2,b_1=7[/tex]
On comparing [tex]y=2x-5[/tex] with slope intercept form, we get
[tex]m_2=2,b_2=-5[/tex]
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
[tex]m=m_1=m_2=2[/tex]
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
[tex]b=\dfrac{b_1+b_2}{2}[/tex]
[tex]b=\dfrac{7-5}{2}[/tex]
[tex]b=\dfrac{2}{2}[/tex]
[tex]b=1[/tex]
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
[tex]y=2x+1[/tex]
Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].
There are 99 males and 121 females participating in a marathon. What percent of the participants are female?
To do this, we first want to see how many participants there are in total by adding both males and females.
[tex]99+121=220[/tex]
Now we know that there were 220 total participants, but only 121 were females.
This allows us to set up the fraction 121/220= the percent female.
[tex]\frac{121}{220} =0.55[/tex]
or 55%
What mathematical term describes both 5.3 and 8.2 in the expression 5.3 x − 8.2 y + 11.1 ?
Answer:
coefficient
Step-by-step explanation:
30 points
Syed took out a cash advance of d dollars from a financing company. The company deducts a fee of 1/3 of the orig
advanced amount along with a wire transfer fee of $30.00. What is the final advanced amount that Syed receives if she takes out a
cash advance of $300?
(Numerical Answer Only)
I need with geometry, I need the blank spaces, anything is appreciated!
Answer:
2: 139
3: 139
4:41
Answer:
Step-by-step explanation:
10) ∠2 + 41 = 180 {Linear pair}
∠2 = 180 - 41
∠2 = 139
11) ∠3 = ∠2 {Vertically opposite angles}
∠3 = 139
12) ∠4 = 41 {Vertically opposite angles}
Can someone help me with this math question plz i will appreciate it. So this is the question: some of the methods you can use to add or subtract are?.
Answer:
add: jump strategy, adding up to ten, do the tens last, compensation method, double when the numbers are the same, count from a number upwards
Subtract: take away, minus decrease, leave, how many are left over, difference between, half/halve
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppp
Answer:
its the first one.
Step-by-step explanation:
Will give brainlyest (however you spell it)
Directions: Find the missing angles or arcs. Circles may not be drawn to scale.
Answer:
7. 30° 8. 97.5° 9. 90° 10. 55° 11. 100° 12. x=32° y=64°
please help solve :D
Answer:
101
Step-by-step explanation:
4x+11 + 6x -1 = 180 (because they are supplementary)
10x =170
x = 17
angle L = 6(17) - 1 = 101
Angle L and Angle N are congruent. so N = 101
PLEASE HELP LOOOOOOOKKKKKKKK ATT SS
Answer:
1
Step-by-step explanation:
d=-4 , f = 3
so, [8-(-4)]/4 × 3
= (8+4)/12
= 12/12
=1
Hope it helps
Answer:
1 is the answer
Step-by-step explanation:
8-(-4) / 4(3) = 1
Plz help me with this question
Answer:
C
Step-by-step explanation:
Remark
There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.
Givens.
KN = 2.5
NO = 10
LM = 3
MP = x
Equation
NO/KN = PM / LM
Solution
10 / 2.5 = x / 3 Cross multiply
2.5x = 10 * 3 Combine
2.5x = 30 Divide by 2.5
x = 30/2.5
x = 12
That looks like it should be the answer, and it almost is, but you are asked for LP.
LP = LM + MP
LP = 3 + 12
LP = 15
The answer is 15
John's high score on the Asteroid Game was 984. Mikes high score was 1,112. Rebecca just played the game and her high score was halfway between John's and Mikes. What was Rebecca's score?
Hi can anyone do this for me please do it on a piece of paper
9514 1404 393
Answer:
see attached
Step-by-step explanation:
We don't know the drivers' names or when or where they started. We have made the assumption that the second equation pertains to Kylie.
Each line is plotted with the appropriate slope and y-intercept. The slope is the coefficient of x, and represents the "rise" for each unit of "run" to the right.
Which of the following could represent consecutive even integers?
x + 1, x + 2
x + 1, x + 3
2x, 2x + 1
Answer:
only x+1 , x+3 COULD represent consecutive even integers
Step-by-step explanation:
only x+1 , x+3 COULD represent consecutive even integers
Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1
Answer:
(-2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -2
2x + 3y = -1
Step 2: Rewrite Systems
Find LCM of both equations.
[1st Equation] Multiply everything by 2: 6x + 8y = -4[2nd Equation] Multiply everything by -3: -6x - 9y = 3Step 3: Redefine Systems
6x + 8y = -4
-6x - 9y = 3
Step 4: Solve for y
Elimination
Combine 2 equations: -y = -1[Division Property of Equality] Divide -1 on both sides: y = 1Step 5: Solve for x
Define original equation: 3x + 4y = -2Substitute in y: 3x + 4(1) = -2Multiply: 3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides: 3x = -6[Division Property of Equality] Divide 3 on both sides: x = -2Can someone help me out with these?
"write a linear equation for line m,n,l,p"
Answer:
Step-by-step explanation:
m: y = -2x + 4
n: y = x - 1
l: y = 4
p: x = -4
m: y=-2x+4
slope: 2
2/1=2
Its negative because the line is going down from left to right
y-intercept:
it crosses the y axis at (0,4)
n: y=x-1
slope: 1
1/1=1
Its positive because the line is going up from left to right
y-intercept:
it crosses the y axis at (0,-1)
l: y=4
slope: 0
A vertical line's slope is always 0
y-intercept:
it crosses the y axis at (0,4)
p: x=-4
To find the equation for a horizontal line, you need to find what x always is no matter what.
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Multiply and simplify if possible.
√7x(√x−7√7)
Thank you lovely
Step-by-step explanation:
[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]
The equation  is written in point-slope form. What is the equation written in slope-intercept form?    
Answer:y+6 = 1/3 (x, -9)
Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.
Consider the line 8x+6y= 7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Which algebraic expression represents the phrase "fourteen increased by a number"? 14 + y 14y StartFraction 14 over y EndFraction 14 minus y
The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The given statement is "fourteen increased by a number"
According to the given question, translate the phrase into an algebraic expression:
⇒ 14 + y
This is because the phrase "increased by" means to add a certain number to 14.
The variable y represents the number that is being added to 14.
Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.
Hence, the correct answer would be option (A).
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
un bebe tiene 26.000.000.000 celulas. un adulto tiene cerca de 4.94×10¹³ celulas ¿ cuantas celulas mas tiene un adulto que un recien nacido? escribe la respuesta en notacion cientifica
el adulto tiene 13 células más que el bebe
One serving of ice cream contains 1,400 calories. If 322 calories come from fat, what percent of the total calories come from fat?
Answer:
23%
Step-by-step explanation:
322 ÷ 1400 = 0.23 = 23%
Step-by-step explanation:
x percent of 1400 calories = 322 calories so, (x × 1400)÷100 = 322x = (322 × 100) ÷1400x = 32200 ÷ 1400x = 23MARK ME AS BRAINLISTPLZ FOLLOW MESimplify the following expression 2n+6+4y-8
Epress the ratio of cooking oil(80ml) to the milk (250 ml) of the recipe
Answer:
8:25
Step-by-step explanation:
Hope this helps!
what is the area of a rectangle when the two sides are 4200 and 4500 in meters squared
Answer 17400
Step-by-step explanation:
Answer:
A=1.89×10 7 (7 as the exponent)
Explanation:
How would I go about solving this problem?
write an expression in simplified form to represent the area of the trapezoid
The county fair charges $.50 per ride and $10 to get
in. If you have $32, write an equation to find the
number of rides (r) you can go on.
Answer:
r=44 rides
Step-by-step explanation:
(32-10) ÷ 0.50 = r
r=44
Answer:
44 rides
Step-by-step explanation:
r=32-10/.50
r=44
plzz answer fasttttt
Answer:
45 square centimeters.
Step-by-step explanation:
Length(L) = 9 cm
breadth (b) = 5 cm
Area of the rectangle
= L * b
= 9 * 5
= 45 cm²
Hope it will help :)
Answer: 45 square centimeters
Step-by-step explanation: 9cm x 5cm = 45cm
SYMBOL THAT INDICATES THE ROOT OF THE NUMBER
Answer:
The root symbol (√ ) is used to represent the square root of any number.
Answer:
[tex]\sqrt{x}[/tex]
Square Root