Answer:
They must have the same slope, but different y-intercepts
Step-by-step explanation:
Slope is rise over run, or the rate of change
Answer:
(3a-1)(3a+1)
Step-by-step explanation:
We can quickly see with this problem that it is the difference of two squares as 9a^2 is (3a)^2 and 1 is 1^2 and therefore can factorise quickly using this rule.
x^2-y^2 = (x-y)(x+y) where x = 3a and y = 1
Answer:
5/18
Step-by-step explanation:
If we count all of the outcomes in the table with exactly one 6 in it, we will see that there are 10 outcomes that do so, and this is out of 36, so the probability will be 10/36 or 5/18.

Because (4*3) + 3 = 15. Similary find the improper fraction for -2 1/2.
(15/4) / (-5/2) = -3/2
Convert -3/2 into a mixed fraction.
Therefore, -3/2 = -1 1/2.
Option C:
x = 90°
Solution:
Given equation:

<u>To find the degree:</u>

Subtract 1 + cos²x from both sides.

Using the trigonometric identity:




Let sin x = u

Factor the quadratic equation.

u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.