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Umnica [9.8K]
3 years ago
10

For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.

Mathematics
1 answer:
AysviL [449]3 years ago
7 0
To condition in which we can justify if the forces are pulling at right angles to each other is that the sum of the squares of the two lesser number should be equal to the square of the third number. 

For the first set: 12 lb, 13lb, 19lb. 

                                             12^2 + 13^2 <span>≠ 19^2

For the second set: 15 lb, 36 lb, 39 lb

                                             15^2 + 36^2 = 39^2

The first pair of forces do not pull at a right angle while the second do.
Thus, the answer is letter B. </span>
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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
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Answer:

C

Step-by-step explanation:

Given the logarithmic equation

\log_4x+\log_4(x-3)=\log_4(-7x+21)

First, notice that

x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

\log_4x+\log_4(x-3)=\log_4x(x-3),

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\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3

Hence, x=3 and x=-7 are extraneous solutions

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3 years ago
Given the point (4,5) &amp; slope = -4, what is the equation of the line? *
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Step-by-step explanation:

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3 years ago
Sammy earns money for college by walking dogs and mowing lawns. She earns $3 for each dog she walks and $25 for each lawn she mo
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Answer:

x = 3w + 25m

Step-by-step explanation:

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What is the value of 2/3(x -6) -y , when x= 9 and y=5/6?
ANTONII [103]

Answer:

Ã=7/6

Step-by-step explanation:

<em>2/3(x -6) -y </em>

<h3><em>put the value of x= 9 and y=5/6 </em></h3>

=2/3(9-6)-5/6

=2/3×3-5/6

=2/1-5/6

=12-5/6

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<em>hey mate hope it's help you</em>......

7 0
3 years ago
Read 2 more answers
Evaluate. 102+6⋅7+8 70142150190
Aloiza [94]
Hi.

102+6(7)+8  (your equation)
102+ 42+ 8  (since the order is PEMDAS, multiplication has to go first. 6x7=42
144 + 8        (since you go left to right, 102 +42 has to be 1st. Answer= 144)
152              (now the only thing left is 144 + 8, so do that. Answer= 152.)

Since that's the last step, 152 will be your answer. 

Hoped I helped and if you need anymore you could always ask me~ 

-Dawn

6 0
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