Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r
Answers
Here we need to see which axioms or properties are used in each case.
A: ab²×0 = 0
Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.
B: (7 + 5) + 1 = 7 + (5 + 1)
This is the associative property of addition, which says that we can perform the addition in any order we want.
C: 6 = 6
This is the reflexive property of equality, which says that every number is equal to itself.
D: 7(x – 3) = 7x - 21
This is the distributive property, which says that:
C*(A + B) = C*A + C*B
We can see that if we apply it to the left side we get:
7(x - 3) = 7x - 7*3 = 7x - 21
E: x + (-x) = 0
This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:
N + A = 0
Particularly, in the real set, we can see that A = -N
G: (a + b) + 0 = 0 + (a + b)
Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:
A + B = B + A
So the elements in the sum can commute.
H: if x = -1, and -1 = z, then x = z
This is the transitive property, we can apply it in the next way:
x = -1 = z
then x = z
So if both variables are equal to the same number, then the variables are equal.
I: 4x×1 = 4x
This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:
X*A =X
Particularly, A = 1.
X*1 = X.
If you want to learn more, you can read:
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Answer:
Step-by-step explanation: I also need help
Related Questions
find the value of 6!/3!
Answers
Answer:
120
Step-by-step explanation:
6!=1x2x3x4x5x6
3!=1.2.3
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answers
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
Calculate the number of litres of water in the tank
Answers
Answer:
SEE IMAGE FOR SOLUTION
HOPE IT HELPS
Step-by-step explanation:
900 litres
Select all solutions to the equation (2. — 4)(x + 5) = 0.
x = -1/2
x = 1/2
x = -2
x = 2
x = -5
x = 5
Answers
Answer:
At, x=-5
Step-by-step explanation:
(2-4)(x+5)=-2×0
please help easy maths gradient thanks so much
Answers
Answer:
Y-2x=8
Y-x=8/2
Yx=4
Maths gradients
Answer:
b
Step-by-step explanation:
Find a16 of the sequence 1, 6, 11, 16, ....
A. 81
B. 66
C. 76
D. 71
Answers
Answer:
C. 76
Step-by-step explanation:
Since the numbers add up by 5, you can use this equation. 5x-4. Plug in 16 for x to get the answer which is 76.
need help please cant understand this probplem
Answers
Answer:
No solution
Step-by-step explanation:
Distribute the right side of the equation.
This will make it 3/8f+1/2=3/8f - 18
And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions
Answer and Step-by-step explanation:
First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.
[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]
If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.
This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.
#teamtrees #PAW (Plant And Water)
I hope this helps!
what is the slope of a line parallel to 3x+y=7
Answers
Answer:
slope is also same as gradient
if 3x+y=7
make y the subject of formula
y=7-3x
so from,y = mx +c
compare the equations
if -3x=mx
divide both sides by x
I.e m=-3
PLEASE HELP ME!!
algebraic terminology
Answers
Answer:
Step-by-step explanation:
Use the following terms in the same sentence: hypothesis, controlled experiment, and variable
Answers
Answer:
The scientist stated her hypothesis, set up a controlled experiment, and isolated the variable that could affect her work.
Helppp
Helppppp please !!!!!!
Answers
Answer:
10
Step-by-step explanation:
g(n) = n² + 4 - n
if g(3), substitute 3 in the (n)
g(3) = 3²+4-3
g(3) = 10
write 32% as a fraction in simplest form
Answers
Answer:8/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
32/100 = 16/50 = 8/25
Alicia has 8 more dollars than Fred. Altogether, Alicia and Fred have 26. dollars. Let "f" represent the amount of money, in dollars, that Fred has. Use "f" to write an expression that represents the amount of money that Fred has.
Use “f” to write an expression that represents the amount of money that Alicia has.
Write de equation to represent the problem situation
Solve your equitation showing each step of the solution
Based on your solution to your equation, state how much money Fred has
Based on your solution to your equation, state how much money Alicia has
Answers
Answer:
Fred has = 9 $
Alicia has = 9 + 8 =17 $
Step-by-step explanation:
Let, Fred has = f $
Then, Alicia has = f + 8 $ ;[as Alicia has 8 more dollars than fred]
Now, the required expression is
∴[tex]f+(f+8)=26\\=>2f+8=26\\=>2f=18\\f=9[/tex]
So, Fred has = 9 $
Alicia has = 9 + 8 =17 $
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Which of the following is a point of tangency on the circle below?
Answers
Answer:
Answer D but read below.
Step-by-step explanation:
The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.
Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.
However I think you are expected to answer F which is answer D.
Answer:
The answer is D.
Step-by-step explanation:
I learned it in school.
please help me please.
Answers
Step-by-step explanation:
For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).
Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
Answers
Answer:
The measure of angle C is 92°
Step-by-step explanation:
In a quadrilateral opposite angles are supplementary (Angles add up to 180°)
So since we have two opposite angles already set up the equation:
(x+24)+(x+10) = 180
Combine like terms - x+x+24+10 = 180 → 2x+34 = 180
Cancel out the constant to solve for x: 2x+34-34 = 180-34
Divide both sides by 2 so x is isolated: 2x/2=146/2
Solve: x=73
Now that we know x = 73 we can find angle C by setting up the equation:
Let C represent the unknown angle of ∠C
73+15+C=180
Combine like terms: 88+C=180
Isolate C: 88-88+y=180-88
Solve for C: C=92
the perimeter of a triangle is 14x - 4. if two sides measure 3x - 2 and 5x + 3, then how long is the third side?
Answers
Answer:
6x-5
Step-by-step explanation:
14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5
A vegetable farmer fills of a wooden crate with of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
Answers
[tex]f(x) = 2x^{2} +5x-2[/tex]
Answers
Answer:
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
PLS HELP THIS IS WITH THE HELP OF SQAURES
Answers
Step-by-step explanation:
you heard of the Pythagoras formula for rectangular triangles ?
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.
so, in your case here we have therefore
x² = 8² + 6² = 64 + 36 = 100
x = sqrt(100) = 10
you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.
i need help asap please
Answers
Answer:
a.
MP3 player: 88%
Video game player: 92%
b.
MP3 player: 75 minutes
Video game player: 67 minutes
Step-by-step explanation:
a.
MP3 player
- Already has 40%
- Each 15 minutes additional 12%
--> An hour = (60/15)*12 = 48 (%)
--> After an hour charged = 40 + 48 = 88%
Video game player
- Already has 20%
- Each 10 minutes additional 12%
--> An hour = (60/10)*12 = 72 (%)
--> After an hour charged = 20 + 72 = 92 (%)
b. To charges 100 minutes:
MP3 player
100 = 40 + ((x/15*12)
--> x = 75 (minutes)
Video game player
100 = 20 + ((x/10*12)
--> x = 67 (minutes)
Two rectangles are similar. The smaller has a length of 8 cm and an area of 40 cm.
If the width of the larger rectangle is 10 cm, find its area.
Answers
Answer:
160 cm²
Step-by-step explanation:
If the two rectangles are similar, that means they have equal scale factors. The smaller rectangle has length of 8 cm and area of 40 cm, which means the width is 5 cm.
The width of the larger rectangle is 10 cm, which is double the width of the smaller, similar rectangle. So, to find the length of the larger rectangle, multiply 8 x 2, which gives you 16 cm for the length, since the scale factor is 2.
Now, just find the area of the larger rectangle by doing length x width. 16cm x 10 cm = 160 cm²
Answer:
160 cm^2
Step-by-step explanation:
Our strategy is to find the length of the larger rectangle so we can find the area. To find the length, we will rely on the fact the two rectangles are "similar": their sides are in equal proportions, or have the same "ratio."
We know that the smaller rectangle has a width of 5 cm because, when we substitute area and length into
A = lw
we get
40 = 8w
w = 5
when we divide both sides by 8.
Because of equal proportions:
Width : length of the smaller rectangle = Width : length of the larger rectangle
We can write an equation
5 / 8 = 10 / x
Cross multiply
5x = 80
x = 16
So the larger rectangle has a length of 16 cm and a width of 10 cm (given)
meaning the area is
16 * 10 = 160 cm^2
Write -93.74 as a mixed number.
Answers
Solve for x.
A. 7
B. 5
C. 0
D. 2
Answers
Answer:
5!
Step-by-step explanation:
2x+260=mB50
= 2(5)+260
=310
sq=5
5 +4.2 + 5 – 2. 2 - 1
Answers
12 -1
11
Hope this helps
Answer:
11
Step-by-step explanation:
You would add 5 + 4.2 + 5 - 2.2 - 1 in a calculator and it would come out to be 11.
Can someone please solve this?
Answers
Answer: x = 3
Step-by-step explanation:
[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]
BRAINIEST AWNSER 100 points PLEASE HELP
The number 1 is the identity for multiplication. Do you think
that division has an identity? Explain your reasoning.
Answers
Answer:
Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.
Step-by-step explanation:
Write as an expression. The quantity 10 less than x, divided by 4
Answers
Answer:
[tex]\frac{x-10}{4}[/tex]
Step-by-step explanation:
When it says less then that means 10 is less than x. You can write divided by 4 either by putting it as a fraction or by using the division sign as "x-10 / 4."
The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
If the quantity 10 is less than x, then the expression will be
⇒ 10 - x
Then the quantity 10 less than x and divided by 4, then the expression will be
⇒ (10 - x) / 4
The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Need help with 11 and 10
Answers
Answer:
10: a
11: c
Step-by-step explanation:
10. Use the midpoint formula
[tex]\frac{-6+8}{2}[/tex], [tex]\frac{2+9}{2}[/tex] = 1, 5.5
11. 7 + 4 + 4 = 15
(add two fours because N is the midpoint)
Which multiple of 10 is closest to 18?
Answers
Answer:
I think it is 20
step by step explanation
Multiples of 10:-
10×1=1010×2=2010×3=3010×4=4018 is closest to 20
Hence our answer is 20
