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BabaBlast [244]
1 year ago
11

Identify p, q, and r if necessary. Then translate each argument to symbals and use a truth table to decide if the argument is va

lid or invalid.

Mathematics
1 answer:
anzhelika [568]1 year ago
5 0
Answer:

Explanation:

Let p denote the statement "It snows", and q denote tthe statement "I can go snowboarding"

The we need to draw a table for

(p => q)v(-p => q)

p q -p -q p=>q -p => -q (p => q)v(-p => q)

T T F F T T T

T F F T F T T

F T T F T F T

F F T T T T T

The argument is valid, since the last column has truth all through.

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I dont understand my assignment<br>y+5x=6; x= -1,0,1
Setler79 [48]
I hope this helps you

5 0
4 years ago
A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.
kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

3 0
3 years ago
What is the nth term rule of the linear sequence below?<br> -4,-1,2,5,8,...
storchak [24]

Answer:

The nth term of the given sequence  tₙ = 3 n - 7

Step-by-step explanation:

Given sequence   - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

     The nth term of given sequence

   t _{n} = a + ( n-1 ) d

  = -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7

<u><em>Final answer:</em></u>-

The nth term of the given sequence  tₙ = 3 n - 7

         

6 0
3 years ago
Go to CPSB.agilemind.com
schepotkina [342]

Answer:

False, it isn't right.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Chord AC intersects chord BD at point P in circle Z.
Alik [6]

In this question, we have to use the intersecting chord theorem, and the formula which is

AP * CP = BP * DP

In the given circle, values of AP, CP and DP are 12m, 6m and 5m respectively .

Substituting the values in the formula, we will get

12*6 = 5BP

Dividing both sides by 5

BP = \frac{72}{5} = 14.4 m

4 0
3 years ago
Read 2 more answers
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