Answer:
Step-by-step explanation:
<u>Given sequence:</u>
<u>This is AP with:</u>
- The first tern a₁ = - 3
- Common difference d = 3
<u>The rule for the nth term of the sequence is:</u>
<u>Substitute values:</u>
- aₙ = -3 + (n - 1)(3) =
- -3 + 3n - 3 =
- 3n - 6
Answer: -7
Step-by-step explanation:
-30 = 5(x + 1)
-30 = 5x + 5. ( After distrbuting the 5)
-5. -5
-30 - 5. = 5x
-35 = 5x
x = -7
Answer:
y = -2x - 5
Step-by-step explanation:
An equation of a line in slope-intercept is y=mx + b.
x and y are points on the line.
m is the slope.
b is the y-intercept.
To find this equation, we will need to find m and b.
When lines are parallel, they have the same slope.
A line parallel to y = -2x + 3 has a slope of -2.
m = -2
To find b, substitute into the equation a point on the line (-2, -1) and m = -2.
A point is in the form (x, y). So x = -2, y = -1.
y = mx + b
-1 = (-2)(-2) + b Simplify by multiplying the (-2)(-2)
-1 = 4 + b Subtract 4 from both sides to isolate b
-5 = b
b = -5 Writing the variable on the left side is standard formatting
Since we now know the y-intercept, b= -5, and the slope, m = -2, substitute them into y=mx + b to get the equation of the line.
y = -2x - 5
Answer:
radius = 12 cm
Step-by-step explanation:
al - <em>Arc Length</em>

r - <em>Radius</em>





