Which equation represents the line that passes through (–8, 11) and (4,7/2 )?
☆☆☆☆☆☆☆☆☆☆☆☆☆☆A. y =-5/8x + 6
B.y =-5/8 x + 16
C. y = -15/2x – 49
D. y =-15/2 x + 71
Answer:
<h2>3x - 2</h2>
Step-by-step explanation:
<em>The distributive property</em>:
<em>a(b + c) = ab + ac</em>
Answer:
Step-by-step explanation:
The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.
So...
-2(16-4x)-8=6(x+2) Multiply
-32+8x-8=6x+12 Add like terms
-40+8x=6x+12 Subtract 6x from both sides
-40+2x=12 Add 40 to both sides
2x=52 Divide 2 from both sides
x=26 Substitute to check
-2(16-4(26))-8=6((26)+2) Add and multiply in parenthesis
-2(-88)-8=6(28) Multiply
176-8=168 Subtract
168=168
So x=26
I hope this helps! Have a great day!
Answer:
The coordinates are (-7sqrt(3)/2, 7/2).
Step-by-step explanation:
The rectangular coordinates from polar coordinates is found by:
x = r*cos(theta)
y = r*sin(theta)
Substituting the given values, we get:
x = 7*cos(150 deg) = 7*(-sqrt(3)/2) = -7sqrt(3)/2
y = 7*sin(150 deg) = 7*(1/2) = 7/2
The coordinates are (-7sqrt(3)/2, 7/2).
I hope this helps! :)
