Answer:
3rd choice
Step-by-step explanation:
(7y^6)(2y^-4)^2
= (7y^6)(4y^-8)
Calculate:
(7y^6) * (4y^-8)
28y^-2
Express with a positive exponent:
28 * 1/y^2
You add them and then it would be 30.6898033492
Adding all of these should equal to 180 from the way the angle is set up.
So the equation should be:
(3x + 2) + (2x + 5) + (2x - 9) = 180
You can remove parentheses as it doesn’t affect the equation since it is all addition.
Let’s first add the common variables together.
3x + 2x + 2x = 7x
2 + 5 + (-9) = -2
So now we should have:
7x - 2 = 180
Now add 2 to both sides.
7x = 182
Divide both sides by 7 to isolate x.
x = 26
So x is 26.
Answer:
<h3>6 feet</h3>
Step-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
Answer:
1
Step-by-step explanation:
the line is y = x+2
