Answer:
x = 7/2 or x = -8/3
Step-by-step explanation:
Solve for x over the real numbers:
6 x^2 - 5 x = 56
Divide both sides by 6:
x^2 - (5 x)/6 = 28/3
Add 25/144 to both sides:
x^2 - (5 x)/6 + 25/144 = 1369/144
Write the left hand side as a square:
(x - 5/12)^2 = 1369/144
Take the square root of both sides:
x - 5/12 = 37/12 or x - 5/12 = -37/12
Add 5/12 to both sides:
x = 7/2 or x - 5/12 = -37/12
Add 5/12 to both sides:
Answer: x = 7/2 or x = -8/3
Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
Answer:
They are not similar.
Step-by-step explanation:
In triangle ABC, the angle we are given is in between the two defined sides(AB and BC with angle B). If these triangles were similar, we would see this with the SAS postulate.
In triangle KLJ, the angle is not in between the two sides, so they are not similar according to any of these two postulates.
Answer:
they are equivalent
Step-by-step explanation:
simplifying 12r + p -4r + 6p you get 8r + 7p
so yes they are equal
By using the quadratic equation your answer is y = x^2/4 - x + 5
