I'm doing the exact same one an i got 48 cubic units for the volume. I still have to draw the rectangular figure though.
Answer:
y = 1/5x - 11
Step-by-step explanation:
perpendicular to a line means we flip the slope to opposite of what it is
in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.
Now we just use the same equation to find the y-intercept, which is b.
y = mx + b; m is your slope and b is your y intercept.
use the points given; (5, -10).
-10 = 1/5(5) + b
-10 = 1 + b
-11 = b
now put your equation together since you have all the pieces
y = 1/5x - 11
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:
Infinitely many solutions.
Step-by-step explanation:
2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.
2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)
2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.
6n - 2 = 6n - 2 Add 2n + 4n.
-6n -6n Subtract 6n from both sides.
-2 = -2
the answer is infinitely many solutions, meaning that n can be any real number.
Answer:
option D
Step-by-step explanation:
Given in the question are 4 number
5√1/3 - 
2 - 
9 + 
A Complex Number is a combination of a Real Number and an Imaginary Number
<h3>Example </h3>
a + ib
where a is real number
b is imaginary number
i is 'lota' which is √-1
<h3>So according to the definition above </h3>
is complex number in which
is real part
= 
is the imaginary part
