Answer:
Thats the equation
Step-by-step explanation:
Turn the fractions into decimals.
Answer:
x=3
x=−3
Step-by-step explanation:
2x^2 - 5 = 13
Subtract 13 from both sides.
2x^2 - 5 - 13 = 0
Subtract 13 from −5 to get −18.
2x^2 - 18 = 0
Divide both sides by 2.
x^2 - 9 = 0
Consider x^2−9. Rewrite x^2−9 as x^2−3^2. The difference of squares can be factored using the rule: a^2−b^2=(a−b)(a+b).
(x−3)(x+3)=0
To find equation solutions, solve x−3=0 and x+3=0.
x=3
x=−3
Since lines PS and QR are parallel, then the coefficient of x are the same when the line is equated in the form y = mx + c, where m is the gradient
So, for line QR, the gradient is 1/2
For PS, the equation is
3y = kx + 12
(divide both sides by 3)
y = (k/3)x + 4
Since the gradients are equal, k/3 = 1/2
(multiply both sides by 3)
k = 3/2