A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
Answer:
Step-by-step explanation:
Slope m = 5/6
The points (-2,1)
So; y1 = 1 and x1 = -2
The equation is y - y1 = m(x - x1)
y - 1 = 5/6(x + 2)
Multiply each term by 6
6y - 6 = 5(x + 2)
6y - 6 = 5x + 10
6y = 5x + 10 + 6
6y = 5x + 16
- 5x + 6y = 16
Multiplying by minus
5x - 6y = -16
Answer:
y=32x-32
Step-by-step explanation:
this time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense
First you find P which would be 16+17+17 which equals 50. Then you find B which is 1/2•16•15 which equals 120. Next you write the formula which would look like 50(20)+2(120) which equals 1240!