Answer:
<h3> The equation has one valid solution and no extraneous of solutions.</h3>
Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>
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Answer:
14.7868 ml are equal to 1 tablespoon
Step-by-step explanation:
1 tablespoon is equivalent to __14.7868___ ml.
Hope This Helped
ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
Answer:
The answer to your question is:
x = -10; y = 8
Step-by-step explanation:
Solve equations by elimination method
2x + 3y = 4 (1)
x + 2y = 6 (2)
Multiply 2 by -2
2x + 3y = 4
-2x - 4y = -12
-y = -8
y = 8
Substitute y in (2)
x + 2(8) = 6
x = 6 - 16
x = -10
Answer:
The correct answer is:
Step-by-step explanation:
By evaluating first, and then the mathematical calculation, we have:
