To prove the statement "For all real numbers x and y, |x-y| = |y-x|," we can use proof by cases.
Case 1: x ≥ y
In this case, |x-y| = x-y and |y-x| = -(x-y).
So, |x-y| = x-y = -(y-x) = |y-x|.
Case 2: x < y
In this case, |x-y| = -(x-y) and |y-x| = y-x.
So, |x-y| = -(x-y) = y-x = |y-x|.
Since these two cases cover all possible values of x and y, we have proven that |x-y| = |y-x| for all real numbers x and y.
To know more about real numbers , visit:
https://brainly.com/question/10547079
#SPJ11
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
plz help asap!!
which statement is not true about the data shown by the box plot below ?
Answer:
B
Step-by-step explanation:
the range is about 45
What is the sum? Question 1 of 60
Answer:
A
Step-by-step explanation:
2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5
Answer:
2 1/8 + 3 7/8 = 6
A. 6
Step-by-step explanation:
2 + 3 = 5
1/8 + 7/8 = 8/8
8/8 = 1 whole
5 + 1 = 6
HOPE THIS HELPS!!!!!
Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).
Answer:
y = 9
Step-by-step explanation:
The line x = -7 is a vertical line, so the perpendicular line will be horizontal.
Horizontal lines have a slope of 0.
Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation
y = mx + b
9 = 0(4) + b
9 = b
Plug this and the slope into the equation:
y = mx + b
y = 0x + b
y = 9
So, y = 9 is the equation
which number is greater tha 9/4
Answer:
9
Step-by-step explanation:
the biggest number gets eaten by the alligator
what is the measurement of angle x
the angle on the right measures 54 degrees and the left measures 38 degrees
Answer:
16
Step-by-step explanation:
180 is a straight line.
x is among that line so you must subtract the angles you know from 180.
180-54-38= 16
Solve for x.
x =
thank you in advance!
Answer:
3x+9=180(angles on a line
3x=180-9
3x=171
x=171/3
x=57
What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm
Answer:
5cm
Step-by-step explanation:
V = (B*H)
90 = (18 * H)
H = 90 / 18
Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s
Answer:
4 m/s
Step-by-step explanation:
Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answer:
X=10
Step-by-step explanation:
3x=30
3(10)=30
30=30
30+42=72
I hope this helps!
Answer:
D. x=10; angle measure is 30°
Step-by-step explanation:
hope this helps
452% as a decimal and as a fraction in simplest form
Answer:
decimal form: 4.52
fraction: 4 13/25
Step-by-step explanation:
Answer:
Decimal 4.52
Fraction 4 13/25
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
Please help me find the values of z and x!
Answer:
The answer would be 299
Step-by-step explanation: Just plug in 74 into x
Simplify: 2m – 6 ≤ 18.
Group of answer choices
m ≥ 6
m ≤ 12
m ≤ 6
m ≥ 12
Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~
What’s the answer to this question?
x² =
12
16
48
Which expression is equivalent to 9u+5u?
14, I think its 14. let me know if I'm right
Why does the sin 0 = cos (90 - 0)?
Answer:
It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.
(Hope this helps! Btw, I am the first to answer. Brainliest pls!)
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:
(K*a, K*b)
In this case, we can find the original coordinates of the endpoints of the original segment.
Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.
The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).
The first endpoint is (6, 9) and (12, 12)
Now we apply a dilation with a scale factor K = 2/3.
then we get the points:
((2/3)*6, (2/3)*9) = (4, 6)
and the other point is:
((2/3)*12, (2/3)*12) = (8, 8)
Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)
The segment can be seen in the graph below.
The value of C has to be Greater than 0.65
Answer:
1.3
Step-by-step explanation:
1. .65 = .5c ---> .65/.5
2. 1.3 = c
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
9514 1404 393
Answer:
23.37 cm
Step-by-step explanation:
1 inch is 2.54 cm, so 9.2 inches is ...
(9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm
anyone knows this?!!?
Answer:
is that just 1/2 lol i think but if u want add me on disc Andreww#6506
Step-by-step explanation:
Solve for a
Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?
find the value of X
Answer:
x = 50.6 cm
Step-by-step explanation:
ΔMAB ≈ ΔNMP
set up a proportion: MA / MN = MB / MP
MA = 46.2 - 14
MA = 32.2
32.2 / 46.2 = x / 72.6
cross-multiply:
46.2x = 2337.72
x = 50.6
Use 50° as the reference angle to find the value Opposite: 50° Adjacent: Hypotenuse 7 12 90° 40° 9 Tt o
which of the expressions bellow is equal to -3x - 39
Answer:
117
(-3) × (-39) = 117
Step-by-step explanation:
hope it helps!
Write the equation of the line in slope-intercept form given:
m = 3/7 through (-7, 7)
Answer:
y=3/7x+10
Step-by-step explanation:
y-y1=m(x-x1)
y-7=3/7(x-(-7))
y-7=3/7(x+7)
y=3/7x+21/7+7
y=3/7x+3+7
y=3/7x+10
Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are provided. Let represent the average of the trap spacing measurements for the population of red spiny lobster fishermen fishing in a particular region. The mean and standard deviation of the sample measurements were previously computed to be x=89.4, and s=11.4 meters respectively. Suppose the fishermen want to determine if the true value of differs from 95 meters
Write the vertex form of the quadratic equation.
y=x – 6x + 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
y= (x-3)^2 -4
Step-by-step explanation:
Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?
Answer:
Quarters = 10
Dimes = 13
Step-by-step explanation:
Given that :
Quarters = $0.25
Dimes = $0.10
Total value =. $3.80
Let :
Quarters = a
Dimes = a + 3 (3 more dimes Than quarters)
0.25a + 0.10(a + 3) = 3.80
0.25a + 0.10a + 0.3 = 3.80
0.35a = 3.80 - 0.3
0.35a = 3.5
a = 3.5 / 0.35
a = 10
Quarters = a = 10
Dimes = a + 3 = 10 + 3 = 13