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Ksivusya [100]
1 year ago
13

Use Midpoint and Slope Formulas to complete the tables below.1. Find the midpoint of RP, given the coordinates R (5, 8) and P (3

, 6).m:Il m:I m:Midpoint:
Mathematics
1 answer:
poizon [28]1 year ago
7 0

The midpoint formula for a segment is:

x_m,y_{_m}=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}

apply to points R and P

\begin{gathered} x_m,y_m=\frac{(5+3)}{2},\frac{(8+6)}{2} \\ x_m,y_m=\frac{8}{2},\frac{14}{2} \\ x_m,y_m=(4,7) \end{gathered}

using the definition of slope find the slope of the segment

m=\frac{y_2-y_1}{x_2-x_1}

apply to points R and P

\begin{gathered} m=\frac{8-6}{5-3} \\ m=\frac{2}{2} \\ m=1 \end{gathered}

to lines are parallel when the slopes are the same

\mleft\Vert m=1\mright?

two lines are perpendicular when the product of the slopes is equal to -1

\begin{gathered} m\cdot\perp m=-1 \\ 1\cdot\perp m=-1 \\ \perp m=-\frac{1}{1} \\ \perp m=-1 \end{gathered}

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Directions: Graph each function using a table of Graph each values, then identify its key characteristics.
Tom [10]

Answer:

Step-by-step explanation:

Given function is,

y=(\frac{1}{2})^x

In the given exponential function,

Base of the function = \frac{1}{2}

By the property of an exponential function,

1). If the base is between 0 and 1, function will be a growth function.

2). If the base is greater than 1, function will be a decay function.

Therefore, given function is a decay function.

Input-output table,

x             -2                -1               0                1                 2

y      (\frac{1}{2})^{-2}=4     (\frac{1}{2})^{-1}=2     (\frac{1}{2})^{0}=1   (\frac{1}{2})^1=\frac{1}{2}      (\frac{1}{2})^2=\frac{1}{4}

By plotting these points we can get the graph of the function.

Domain: (-∞, ∞)

Range: (0, ∞)

y-intercept: 1

Asymptote: y = 0

7 0
3 years ago
Let's say that you go out for dinner. The meal and the service are excellent. You want to leave a really good tip for the waiter
Oduvanchick [21]
First, to estimate we can round 53.82 up to 55.00. Then you can look at it like this: when you divide 100 by 20 you get 5, so 20% is one fifth of 100. Therefore, we want to find one fifth of $55. To do this, you multiply 55*1/5. When you multiply the numerators by each other and the denominators by each other, you get 55/5. When you divide the numerator and denominator by 5, you get 11/1 or $11.

Hope this helps
7 0
3 years ago
Find the common factor of all of the terms of the polynomial below.
Kaylis [27]

Answer:

Step-by-step explanation:

d 4x

5 0
2 years ago
Read 2 more answers
The gestation period of humans ​(266 days) is​ _____ percent longer than the gestation period of lions (108 days).
ValentinkaMS [17]
Gestation percent of humans is 72.87% and lions is 29.58%. Subtract and humans 43.29% longer.
3 0
2 years ago
What are three consecutive integers whose product is 480 more than their sum?
Natali [406]

Answer:

The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

  • Let the first number be n - 1
  • Let the second number be n
  • Let the third number = n + 1

Equation

(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

Add the three integers together: (x - 1) + (n - 1) + n = 3n  Combine these 2 steps

n(n^2 - 1) - 3n = 480 Remove the brackets

n^3 - n - 3n = 480

n^3 - 4n = 480

n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

Answer

n - 1 = 7

n = 8

n + 1 = 9

Check

Product 7*8*9 = 504

Sum = 7 + 8 + 9 = 24

504 - 24 = 480 Which checks.

4 0
3 years ago
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