Answer:
Step-by-step explanation:
Let age of each twin be x
let age of sister be s
So we can write:
x + 4 = s
The product of the 3 siblings ages is 3482 more than sum. We can write:

This can be simplified as:

We replace s with "x + 4" and solve:

<u>Note:</u> To solve this cubic, we used technology
Thus, we can say the twins are 14 years old
X²+14x+49+17=-96+49
(x+7)²=-64, x+7=±8i, x=-7±8i, so x=-7+8i or -7-8i.
Answer:
-6/5
Step-by-step explanation:
Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.
Add, divide- turn division equation into a fraction, boom
Answer:
105 mm^3
Step-by-step explanation:
The volume formula for a triangular prism is (height x base x length) / 2.
(5 x 6 x 7) / 2 = 105 mm cubed = 105 mm^3