Answer:
It's the last choice:
2x + y - 1 = 0.
Step-by-step explanation:
x - 2y - 3 = 0
Convert to slope-intercept form in order to find the slope:
-2y = -x + 3
y = 1/2x - 3/2
So the slope is 1/2. The slope of a line perpendicular to this is -1 / 1/2 = -2.
Using the point-slope form to find the required equation:
y - y1 = m(x - x1)
x = 4 and y = -7 so we have:
y + 7 = -2(x - 4)
y + 7 = -2x + 8
2x + y - 1 = 0 is the answer.
Answer:
a₁₂ = 16384
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then
a₁₂ = 8 × 
= 8 × 2048 = 16384
Answer:
7.99+2(1.09)+3(2.75)+x =25
Step-by-step explanation:
what's given are the prices of the canvas, brushes, and bottles of pain. 7.99 represents the one canvas Anna is buying, 2(1.09) represents the 2 brushes, and 3(2.75) represents the bottle of paints. Now what's left is x and x represents the amount of money left on the gift card. The gift card is $25 in total so that's why at the end of the equation it equals to $25.
15 Minutes
You have 8 km in an hour.
Divide all that by two and you'll have 4 km in 30 mins.
Then divide by two again to end up with 2 km in 15 mins.
You could alternatively divide by four from the beginning, but I find this easier.
Answer:
Step-by-step explanation:
I assume this is a repeating decimal where the sequence continues infinitely.
Let x=.252525... then
100x-x=25.25...-0.25...
99x=25
x=25/99
