Answer:
(x, y) = (-1, 6)
Step-by-step explanation:
y = 2x + 8
y = 5 - x
Substituting the second equation into the first equation, we get:
5 - x = 2x + 8
5 = 3x + 8
-3 = 3x
x = -1.
So, y = 5 - (-1).
Simplifying, we get:
y = 6.
Answer:
y = 1/4 x -3
Step-by-step explanation:
y = -4x + 3;
the slope of this equation is -4
we want the slope perpendicular to this
take the negative reciprocal
- (-1/4) = 1/4
so the slope of our line will be 1/4
we have the slope and a point so we can use point slope form
y-y1 = m (x-x1)
y--2 = 1/4(x-4)
y+2 = 1/4 (x-4)
we need to change it to slope intercept form (y=mx+b)
distribute
y+2 = 1/4 x -1/4*4
y+2 = 1/4x -1
subtract 2 from each side
y +2-2 = 1/4 x -1-2
y = 1/4 x -3
the slope is 1/4 and the y intercept is -3
Answer:
-84
Step-by-step explanation:
The formula for the nth term of a geometric progression is
Un = ar^n- 1
The sum of the first six terms of a geometric series (U6) = 21/16
Common ratio = -1/2 ,
a = First term ??
21/16 = a × (-1/2 )^6- 1
21/16 = a ×(-2^-1)^5
21/16 = a × -2^-6
Cross Multiply
16 × a × -2^-6 = 21
a = 21/16 × -2^-6
a = 21/16 ×- 1/2⁶
a = 21/16 × -1/64
a = 21 ÷(-1/4)
a = 21 × -4
a = -84
The first term = 84
Answer:
Step-by-step explanation:
I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.
Hope this helped you out.
5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, ?
Shkiper50 [21]
Answer:
I have no idea thank you for the points
Step-by-step explanation:
