The main difference between the 2D and 3D coordinate systems is that the 3D coordinate system adds a third axis (Z) to the two axes of the 2D coordinate system.
What is coordinates system?A coordinate system is a two-dimensional or three-dimensional system which is used to identify the location of a point or object in the space. It is represented by a set of axes, which are perpendicular and equally spaced from each other to form a grid-like structure. The coordinates of a point or object are determined by the intersection of the two or three axes. Common coordinate systems used in mathematics and science include the Cartesian, polar, and spherical coordinate systems.
A 2D coordinate system is a system in which two axes (X and Y) are used to define a point in a two-dimensional space. This system is used to describe the position of a point in relation to the origin, which is located at the intersection of the two axes. The two axes form a coordinate plane, which provides a visual representation of the system.
A 3D coordinate system is a system in which three axes (X, Y, and Z) are used to define a point in a three-dimensional space. This system is used to describe the position of a point in relation to the origin, which is located at the intersection of the three axes. The three axes form a coordinate space, which provides a visual representation of the system.
This third axis allows points in the 3D coordinate system to be represented in the third dimension. Additionally, the 3D coordinate system provides a more detailed representation of points, as it can represent points in all three dimensions.
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Determine whether the relation represents a function. If it is a function, state the domain and range. {(-3, 7), (2, 5), (5, -3), (8, -2)}
Answer:
(a) The relation is a function
(b)
[tex]Domain = \{-3,2,5,8\}[/tex]
[tex]Range = \{7,5,-3,-2\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex]
(a): Is it a function?
A relation has the form: [tex]\{(x_1,y_1),(x_2,y_2)....(x_n,y_n)\}[/tex]
For the relation to be a function, all the x values must be unique and not repeated.
In [tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex], the x values are: -3, 2, 5 and 8.
None of the values are repeated.
Hence, the relation is a function
(b): The domain and the range:
The x values represent the domain while the range are represented by the y values.
So, we have:
[tex]Domain = \{-3,2,5,8\}[/tex]
[tex]Range = \{7,5,-3,-2\}[/tex]
8x-7=-5x+19 denklemini sağlayan, x'in değeri kaçtır?
Answer: X=2
Step-by-step explanation:
8x-7=-5x+19
=> 8x+5x=19+7 [Transforms]
=> 13x=26
=> x=26/13
So, x=2
Which number is equal to 100?
Answer:
10 square2
36 + 64 = 100. In other words, 6² + 8² = 10²
Answer:
C. 10^2
Step-by-step explanation:
When you have an exponent and the base is 10, the exponent is how many zeros there are total that come after the 1. There are 2 zeros after the 1 in 100, so 10^2 is the answer.
During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:
Which theorem proves these triangles are similiar for brainliest
[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]
geometry multiple choice question HELPP
someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points
Answer:
divide the numerator by the denominator and it should give you a decimal
Answer:if u don't get it tell me.
Step-by-step explanation:
Please help me with this
8.6 is what percent of 32?Round to the nearest hundredth.
Answer:
2.75
Step-by-step explanation:
8.6 is what precent of 32? =2.752
round to nearest hundredth= 2.75
I hope this helps :)
Answer:
2.75
Step-by-step explanation:
BIG BRAIN
Select the correct answer.
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1
Answer:
6 and 1
Step-by-step explanation:
Let x - 6 = 0 and x - 1 = 0
x = 6 and x = 1
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If and , what is ? Write your answer in simplest form. When and , .
. Evaluate x2+ 2y÷ 2w+ 3zfor w= -2, x= -5, y= 8, and z= -3
what 5/8x + 1/2 (1/4x + 10)?
Which perfect squares does the number 104 falls in between?
Answer:
12
Step-by-step explanation:
Answer:
12 because 12, 24, 36, 48, 60, 72, 84, 96, 104
Step-by-step explanation:
HELLPPP ASAP PLEASEEE!!!
Answer:
angle G = 64.9 is because the sum of interior angle is 180
write an equation for a line perpendicular to y=-4x-4 and passing through the point (4,-4)
Answer:
Step-by-step explanation:
perp. 1/4
y + 4 = -1/4(x - 4)
y + 4 = -1/4x + 1
y = -1/4x - 3
!ANSWER QUICK! the volume of a cone is 84π ft³. If the hole is 7ft deep, what is the radius of the hole?
Answer:
6 ft
Step-by-step explanation:
volume of cone πr^2 (h/3)
84π = πr^2 (7/3)
84π/(7/3) = r^2π
84/(7/3) = r^2
sqrt (84 /(7/3)) = r
6 = r
Vienna bought 8 yards of fabric and paid $38.40. How many more yards can she purchase with $30?
Answer:
vienna can purchase 6 more yards
Point s and point t are located at -6, 13 and 8, 13 on the coordinate plane what is the distance between the two points
Answer:
[tex]14[/tex] units
Step-by-step explanation:
Since both points have the same y-coordinate, we can calculate the distance between them by taking the absolute difference of their x-coordinates. Therefore, the distance between them is [tex]|-6-8|=|-14|=14[/tex] units. Hope this helps!
what is the answer to -4 - (-7)
Answer:
3fufufuifjfjfjfjfjfnfnff
Write the polynomial below in the factored form.
y=x³+10x²+25x
y=[?](x+[ ])²
Answer:
apsppspspppp9ğpğğ999
Josh bought 3 bags of potting soil and 10 bags of mulch from Home Depot.
a) Write an equation torepresent the total cost.
Answer:
3x+10y=C
x=cost of potting soil
y=cost of mulch
C=total cost
An equation which represent the total cost will be,
⇒ 3P + 10M = C
Where, P is cost of potting soil bags.
M is cost of Mulch bags.
C is total cost.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Josh bought 3 bags of potting soil and 10 bags of mulch from Home Depot.
Now,
Let cost of potting soil bags = P
Cost of Mulch bags = M
Total cost = C
Then, An equation to represent total cost is;
3P + 10M = C
Thus, An equation which represent the total cost will be,
⇒ 3P + 10M = C
Where, P is cost of potting soil bags.
M is cost of Mulch bags.
C is total cost.
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A flagpole is 35 feet tall. A girl standing nearby who is 4 feet tall casts a shadow that
is 3 feet long. How long is the shadow of the flagpole (at the same time) to the
nearest foot?
Answer:
26 ft. = the length of the flagpole's shadow to the nearest foot
Step-by-step explanation:
Let f = the length of the flagpole's shadow
girl's height/flagpole's height = girl's shadow length/flagpole's shadow length
4/35 = 3/f
4f = 105
f = 26.25 ft. ≅ 26 ft = the length of the flagpole's shadow to the nearest foot.
1.1. Which statement explains why the two systems of equations below have the
same solution?
A
6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = -20
Answer:
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
Step-by-step explanation:
If we add the first two equations that shown in A so
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2
So
2(6x + 8y = -10)
12x + 16u = -20
Therefore the correct option is B.
Need help on number 26 and 27!!
Answer:
26. H. (-4, -2)
27. A. x - 4
Step-by-step explanation:
26.
Use translations.
Start at point A(2, 6). To go from this point to the center of the circle, you must go from A(2, 6) to C(-1, 2). That means you need to go from 2 to -1 in x, a change of -3 in x, and from 6 to 2 in y, a change of -4 in y.
Since points A and B are the endpoints of a diameter, then AC and BC are radii of the circle. All radii are congruent, so if you apply the same transformation as from A to C to point C, you will get the coordinates of point B.
C(-1, 2) now is transformed by -3 in x and -4 in y.
B(-1 - 3, 2 - 4) ----> B(-4 , -2)
Answer: H. (-4, -2)
27.
Recall the factoring of a difference of cubes.
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
You have
x^3 - 64
x^3 is obviously the cube of x.
64 is the cube of 4, so you have
x^3 - 4^3
Following the factorization above, you get
(x - 4)(x^2 + 4x + 16)
Answer: A. x - 4
A dog named Zula set a record by popping 100 balloons in 44.49 seconds. Which shows the expanded form of 44.49?
Answer:
40+4+0.4+0.09
Step-by-step explanation:
There are four hundred twenty-three people attending luncheon. If a table can hold 6 people, how many tables do they need?
Answer:
the answer is 71
Step-by-step explanation:
423/6
42÷6=7
42-42=0
6÷3=×
30÷6=5
70.5--> 71
Consider the inequality.
x + 3x < 24
Which value of x makes the inequality true?
A.5
B.6
C.7
D.8
Answer:
A.
Step-by-step explanation:
Solve inequality:
[tex]x + 3x<24\\4x<24\\x<6[/tex]
only one less than 6 is A. 5
Answer:
A
Step-by-step explanation:
(5) + 3(5) < 24
20 < 24
A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.
Answer:
18 cm ;
2 cm
Step-by-step explanation:
Length of each adjacent side = 1 :3
If 1 side = 6 ; the possible values of the adjacent side ;
That is side 2 ÷
If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm
If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm
Hence, the two Possible values of the adjacent side = 18 cm or 2 cm
4. If you buy 7 hamburgers and 3 slices of pizza from the Sizzler, you get Sl in change back from a
$20 bill. If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill. Find
the price of a hamburger and the price of a slice of pizza.
Answer:
the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively
Step-by-step explanation:
Let us assume the price of a hamburger be x
And, the price of a slice of pizza be y
So the equations are
7x + 3y = 20-1
7x + 3y = 19........(1)
And,
8x + 2y = $19.50........(2)
Now multiply by 2 in equation 1 and 3 in equation 2
So,
14x + 6y = 38
16x + 6y = 39
-2x = -1
x = 0.5
so y =
4 + 2y = $19.50
2y = $19.50 - 4
y = 7.75
Hence, the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively