1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Black_prince [1.1K]
3 years ago
7

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

h to describe the position of an object on a flat surface
Mathematics
1 answer:
posledela3 years ago
5 0

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

You might be interested in
Gas is 2.10$ per gallon and your car gets 32 miles per gallon how much your gas cost
____ [38]
32 times 2.10 is 67.2 :)
7 0
3 years ago
Simplify -2(-5n+6)+5(2-7n)
RideAnS [48]

Answer:

-25n - 2

Step-by-step explanation:

  1. 10n - 12 + 10 - 35n
  2. -25n - 2
5 0
3 years ago
Read 2 more answers
If P(A)=0.4, P(A and B)=0.2,and P(A or B)=0.5, What is P(B)
Vladimir [108]

Answer:

\boxed{\ P(B)=0.3 \ }

Step-by-step explanation:

Hi,

We know that

P(A or B)=P(A)+P(B)-P(A and B)

so P(B)= P(A or B) - P(A) + P(A and B)

so

P(B) = 0.5 - 0.4 + 0.2 = 0.3

thanks

6 0
3 years ago
Y=x-3 somebody?? pls help i cant solve it
son4ous [18]

Answer:

x=3

Step-by-step explanation:

0=x-3

-x=-3

x=3

7 0
3 years ago
Read 2 more answers
(Please Answer Quickly)
iren2701 [21]
For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"<span>Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
</span>y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    
<span>

"</span><span>What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6</span>≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
y=a x^{2} +b
Depending on sign of x^{2} the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"<span>What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-</span>x^{2}+36
x^{2} =36 \\  x_{1} =-6 \\  x_{2} =6

"<span>Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x </span>∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

8 0
3 years ago
Other questions:
  • At 3 p.m the temperature was 9°f by 11 pm it had dropped 31°f what was the temperature at 11 pm
    9·1 answer
  • A triangle has two sides of length 5 and 12. what value could the length of the third side be? More then one can be correct.
    15·1 answer
  • About 42% of a paint mix is white a painter orders 18 gallons of the paint mix. How much of of it is white.
    6·2 answers
  • 3k- 10k + 7<br> factoring
    9·1 answer
  • Two quadratic functions are shown.Function 1: f(x) = 3x2 + 6x + 7 Function 2:x g(x)−2 13−1 70 31 7Which function has the least m
    6·1 answer
  • The average speed of a plane is 320 miles per hour. How far does the plane travel in 12 hours.
    14·2 answers
  • If there are 150 students less than three times the number of teaches and together purchased 1778 tickets. How many students bou
    12·1 answer
  • PLEASE HELP 16 POINTS is math
    10·1 answer
  • | 10n + 3 | + 16 = 3
    10·1 answer
  • Please help me on question two
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!