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
KonstantinChe [14]
2 years ago
11

Find the slope of the line through each pair of points (12, -18) & (-15, -18)​

Mathematics
1 answer:
padilas [110]2 years ago
8 0

Answer:

0

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-18 + 18) / (-15 - 12)

0 / -27

= 0

So, the slope is 0.

You might be interested in
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 1
Oliga [24]
8x means it’s divided by 5x +9
7 0
2 years ago
(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
How do you know that the bowling pins are set up in parallel lines?
polet [3.4K]

Answer:

you look at them from an angle

5 0
2 years ago
A supermarket sells two flavors of cereal: a fruit flavor and a chocolate flavor. In a market survey, the event that a customer
Sedaia [141]
This is a binomial distribution.
p = 0.71, q = 1 - p = 1 - 0.71 = 0.29, n = 20

P(x ≤ 19) =1 - P(x = 20) = 1- 20C20 x (0.71)^(20 - 20) x (0.29)^20 = 1 - 0.29^20 = 1 - 0 = 1
4 0
3 years ago
Need help finding out what 3x=y and x-2y = 10
sweet-ann [11.9K]

Answer:

x=-2, y=-6

Step-by-step explanation:

Simple substitution.

Since y is isolated in one of the equations already, you can plug it into the second equation.

x - 2(3x) = 10

x - 6x = 10

-5x = 10

x = -2

Sub. x = -2 into 3x = y:

3(-2) = y

y = -6

4 0
3 years ago
Other questions:
  • How do you use an exponent to represent a number such as 16
    6·1 answer
  • How do you find the circumference of a circle?
    13·1 answer
  • Other than airfare and ground travel, what are some other expenses to consider while travelling?
    10·2 answers
  • A rectangular prism has a surface area of 286 ft squared. The base is 5ft by 7ft what is the height of the prism?
    7·1 answer
  • Is this table a function or not a function?
    5·2 answers
  • Which of the following is a polynomial with roots 5,7 and -8
    12·2 answers
  • PLEASE ANSWER BOTH QUICK
    14·1 answer
  • Can someone help i wil mark branliest to anyone who gets this right
    15·1 answer
  • If it is 5:30 pm what time would it be a half and hour later
    9·1 answer
  • What is the Least Common Multiple for 6 and 8?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!