Answer:
<em>B. a = y - k/(x-h)² </em>
Step-by-step explanation:
Given the expression y = a (x-h)² + k
First make a the subject of the formula
Subtract k from both sides
y = a (x-h)² + k
y- k = a (x-h)² + k - k
y - k = a (x-h)²
Divide through by (x-h)²
y - k/(x-h)² = a
a = y - k/(x-h)²
Hence option B is correct
Answer - D.
you basically find the equation of the line first and eliminate the wrong answers...
Strategy: before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,
First you have to find the gradient (m) of the line.
you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2
replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others
Hope you get it!
Answer:
Step-by-step explanation:
lm=6x+3
mn=4x-17
ln=x+14
lm+mn>ln
6x+3+4x-17>x+14
10x-14>x+14
9x>28
x>28/9
mn+ln>lm
4x-17+x+14>6x+3
5x-3>6x+3
-x>6
x<-6
lm+ln>mn
6x+3+x+14>4x-17
7x+17>4x-17
3x>-34
x>-34/3
combining x<-6 or x>28/9
5- 1+x
Y-2-3
If that not the answer then
1+x <5
Y-2<3
The width is 5 ft. you subtract 12 (6x2) from 22 because there are two sides that are 6 ft long. you get ten. then you divide that by 2 because there are two more sides and they are equal. when you divide you get 5
