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Readme [11.4K]
3 years ago
12

Maria solved the equation below and got x = –4. Which of the following choices verifies that her solution is correct? 5x + 22 =

x + 6
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0

Answer and Explanation :

Given : Maria solved the equation below and got x = –4.

To find : Equation verifies that her solution is correct?

Solution :

We have given the equation,

5x+22=x+6

To verify that her solution is correct we substitute x=-4 if LHS=RHS then she is correct.

LHS - 5x+22

Put x=-4

5(-4)+22=-20+22=2

LHS=2

RHS - x+6

Put x=-4

(-4)+6=2

RHS=2

LHS=RHS

The solution is correct.

VladimirAG [237]3 years ago
3 0
5(-4)+22 = (-4)+6
-20+22 = -4+6
2 = 2
Maria is correct, since both sides equally match.
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The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?
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Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4    

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 =>              (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2  = 1 - 9/16   = 7/16

So...... taking the square root of both sides gives

[email protected] =  +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative?  We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4    

which is choice B


Thank you,

Mr. B


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