The area of the triangle is 52,000 cm².
<h3>What is the area of the triangle?
</h3>
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
- Base = 4 x 5 x 4² = 320
- Height = 320 + 5 = 325
Area = 1/2 x 320 x 325 = 52,000 cm²
To learn more about triangles, please check: brainly.com/question/22949981
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-18 +(-29) = -47 + (-10) = -57
-24 + (-16) = -40 + (-28) = -68 +(-19) = -87
-151 - 253 = -404 - 34 = -438 - 17 = -455
:)
Here is
the solution for this specific problem:
<span>Based from the graph,
the curve will intersect itself at the y-axis, i.e. x = 0. </span><span>
</span><span>t^3 - 6t = 0 </span><span>
<span>t(t^2 -
6) = 0 </span>
<span>t = 0 or
t = ± √6 </span>
<span>dx/dt =
3t^2 - 6 </span>
<span>dy/dt =
2t </span>
<span>dy/dx =
2t/(3t^2 - 6) </span>
<span>@ t = 0,
dy/dx = 0. </span>
<span>x = 0, y
= 0 </span>
<span>y = 0 </span>
<span>@ t = √6,
dy/dx = 2√6/12 = √6/6 </span>
<span>x = 0, y
= 6 </span>
<span>y - 6 =
(√6/6) x </span>
<span>y =
(√6/6)x + 6 </span>
<span>@ t =
-√6, dy/dx = -2√6/12 = -√6/6 </span>
<span>x = 0, y
= 6 </span>
<span>y - 6 =
(-√6/6) x </span>
y = (-√6/6)x
+ 6</span>
So the equations of the tangent
line at the point where the curve crosses itself are: <span>y = (√6/6)x + 6 and
</span>y = (-√6/6)x + 6. I am hoping that these answers have
satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
We know that we have to mutiply (x + 6) by something to make (x^2 + 5x - 6) Because 6 * -1 is -6, it seems logical that Option B, (x-1) units, is the answer.
