Answer:
x +3 = x^2 +2x -4
Step-by-step explanation:
Straight substitution of the top expression for y gives you ...
x +3 = x^2 +2x -4
__
This lets you rewrite the equation to standard form as ...
x^2 +x -7 = 0
and find the solutions to be ...
x = (-1±√29)/2
Corresponding y-values will be 3 more than this:
y = (5±√29)/2
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
That is a 30 60 90 triangle.
In such a triangle the "middle" size = short side * sq root (3)
height = 5 * sq root (3) =
<span>
<span>
<span>
8.6602540378
</span>
</span>
</span>
Area = (1/2) * 5 * <span>
<span>
8.6602540378
</span>
</span>Area = 2.5 * <span>
<span>
8.6602540378
Area = </span></span><span><span><span>21.6506350946 square centimeters
</span></span>
</span>
Answer:
((23)-(7))/5
=14/5
=2.8
Step-by-step explanation:
