We use the formula: ( a - b )^3 = a^3 - b^3 - 3ab( a - b);
a = 1000; b = 1;
999^3 = 1000^3 - 1^3 - 3·1000·1( 1000 - 1 ) = 1000000000 - 1 - 3000·999 = 1000000000 - 1 - 2997000 = 997002999;
Answer:
4i sqrt(2)
Step-by-step explanation:
sqrt(-2) + sqrt(-18)
We know sqrt(ab)= sqrt(a) sqrt(b)
sqrt(-1)sqrt(2) + sqrt(9) sqrt(-2)
sqrt(-1)sqrt(2) + sqrt(9) sqrt(2)sqrt(1)
We know the sqrt(-1) is equal to i
i sqrt(2) +3 sqrt(2) i
i sqrt(2) +3i sqrt(2)
4i sqrt(2)
By solving a system of equations, we will see that the width is 170ft and the length 275 ft.
<h3>
How to get the dimensions of the base?</h3>
For a rectangle of length x and width y, the perimeter is:
P = 2*(x + y).
Here we know that:
x = 2y - 65ft
p = 890ft = 2(x + y)
So we have a system of equations.
To solve this, we need to replace the first equation into the second one:
890ft = 2(x + y)
890ft = 2(( 2y - 65ft) + y)
Now we can solve this for y.
890ft = 4y - 130ft + 2y
890ft + 130ft = 6y
1020ft/6 = y = 170ft
So the width is 170ft, and we know that:
x = 2y - 65ft = 2*(170ft) - 65ft = 275ft
So the length is 275 ft.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
Answer:
The slope is -7/4
Step-by-step explanation:
∵ 7x + 4y = 10
∵ y = mx + c ⇒ where m is the slope of the line
∴ Re-arrange the equation
∴ 4y = 10 - 7x ⇒ ÷4
∴ y = 10/4 - (7/4) x
∴ y = 5/2 - (7/4) x
∴ The slope is -7/4
Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
