Answer:
D] f(n) = f(n − 1) + (−7)
Step-by-step explanation:
since you already know is an arithmetic series, you have to find the common difference.
87 - 94 = -7
80 - 87 = -7
73 - 80 = -7
the formula for the nth term is f(n) = f(n-1) + d
where f(n-1) is the previous term and d is the common difference, so if youu substitute you get:
f(n) = f(n-1) + d
f(n) = f(n-1) + (-7)
The answers 15.
Explanation: you can’t evenly divide the other option choices
Equation 1) y = -2x - 6
Equation 2) y = x + 9
Move equations around, by moving the (x)s to the left side of the equation so that x and y are on the same side.
To do so, add 2x to both sides in equation 1, and subtract x from both sides in equation 2.
1) 2x + y = 6
2) -x + y = 9
Subtract equations from each other.
3x = -3
Divide both sides by 3.
x = -1
Plug in -1 for x in first equation.
y = -2x - 6
y = -2(-1) - 6
Simplify.
y = 2 - 6
y = -4
(-1, -4) ==> x = -1, y = -4
~Hope I helped!~
Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
