Answer:
= 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
= 10 + 10(n - 1) = 10 + 10n - 10 = 10n
Answer:
The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form: 
= (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Answer:
angle M = 18 degrees
angle N = 90 degrees
angle O = 72 degrees
Step-by-step explanation:
angle N = 5M
angle M = M
angle O = 4M
180 = 5M + M + 4M (angle sum of a triangle)
180 = 10M
M = 18 degrees
sub M = 18 degrees into N = 5M
N = 5(18)
= 90 degrees
sub M = 18 degrees into O = 4M
O = 4(18)
= 72 degrees
Answer:
O 10
Step-by-step explanation:
d = √((x2 - x1)² + (y2 - y1)²)
d = √((-8 - -2)² + (7 - -1)²)
d = √((-6)² + (8)²)
d = √(36) + (64)
d = √100
d = 10
