y = 12 is a line in which every point has a y-coordinate of 12 no matter what the x-coordinate is. That means that y = 12 is a horizontal line. The equation of line y = 12 can be written as y = 0x + 12 clearly showing m = 0 (slope is zero) and the y-intercept is 12. A line parallel to line y = 12 has the same slope, so its slope is also zero.
A line perpendicular to y = 12 is a vertical line. For a vertical line, the slope is undefined because it involves division by zero which is undefined in math.
First one
20=n/5+10
minus 10 both sides
10=n/5
times 5 both sides
50=n
2.
hmm
expand
p(x)=2x^2+5x+3-3x-3n
p(x)=2x^2+2x+3-3n
it looks like the coefients of the x terms are divisble by 2
because
if we have
p(x)=2(something)
the p(x) is divisible by 2
therefor that factor is 2 or -2
find what value of n works
so
3-3n=a multipule of 2
we are given
-3,-2,0,2
try each
3-3(-3)=3+9=12, that's divisble by 2
3-3(-2)=3+6=9, that's not divisible by 2
3-3(0)=3, that's not divisble by 2
3-3(2)=3-6=3, that's not divisble by 2
the onnly one that woks is when n=-3
answer is A
First, start off by listing a few of the numbers that follow the first three clues to see if you can narrow it down.
7,111,111
7,333,333
7,555,555
etc.
Then, start adding up digits to see if you're getting close.
7+1+1+1+1+1+1 = 13
7+3+3+3+3+3+3 = 25
7+5+5+5+5+5+5 = 37
Since 7,555,555 is too high, we step it down to 7,555,333
7+5+5+5+3+3+3 = 31
7,555,333 will work as an answer, as well as 7,333,555, since it's the same amount when the digits are added together.
Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
.....(3)
For largest area, differentiate above area equation wrt y.
Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).
Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.