Answer:
d. 18
Step-by-step explanation:
3x - 5 = 22
3x = 27
x = 9
Then, 2x is equal to:
= 2(9)
= 18
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)
m =
=
= - 1
Answer:
x=25°
Step-by-step explanation:
<u>Sum of angles of a triangle equals 180°</u>
- x + 10° + 2x + 15° + 3x + 5° = 180°
- 6x + 30° = 180°
- 6x = 180° - 30°
- 6x = 150°
- x = 150°/6
- x = 25°
Answer:
Any points in the shaded region including (2,-2) and (-3,-8)
Step-by-step explanation:
Convert the line into slope intercept form and graph it.
2x-y > 1 becomes -y>1-2x. Divide both sides by -1 and you get y<2x-1. Graph it with the shaded area on the right and a dashed line.
Any point which falls within the shaded red of the graph is a solution. No points on the line since it is not equal to (its dashed) are solutions. Check the location of your points to verify that they fall within this area.
(-3, -8) ---Yes
(-1, -3) ---No
(0, 5) --- No
(1, 6) --- No
(2, -2) ---Yes
Answer:
- 57
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a + (n - 1)d
where a is the first term and d the common difference
Here a = 13 and d = - 2.5, thus
= 13 + (28 × - 2.5) = 13 - 70 = - 57