Answer:
x = -84, y = -58
Step-by-step explanation:
2x - 3y = 6 --- Equation 1
Equation 1×5: <em>10x</em> - 15y = 30 --- Equation 2
5x + 7y = -14 --- Equation 3
Equation 3×2: <em>10x</em> + 14y = -28 --- Equation 4
<u>I will eliminate 10x. </u>
Equation 4-2:
10x - 15y - 10x + 14y = 30-(-28)
-y = 30+28
= 58
y = -58
Substitute y =-58 into Equation 1.
2x - 3y = 6
2x - 3(-58) = 6
2x - (-174) = 6
2x + 174 = 6
Find 2x.
2x = 6-174
= -168
Find x.
x = -168 ÷ 2
x = -84
It is showing that there is an exponent. For example, if you saw 4^2 it would mean four to the second power or four squared.
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Answer:
70 words per minute
Step-by-step explanation:
1890/27
=70 (words per minute)
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