Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59
°.
Using sine ratio
sin 48.59
° = opposite/hypotenuse
sin 48.59
° = 24/JL
cross multiply
JL sin 48.59
° = 24
divide both sides by sin 48.59
°
JL = 24/sin 48.59
°
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32
The substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
<h3>Quadratic equations</h3>
These are equations that has a leading degree of 2. Given the expression
6(x+5)^2 + 5(x+5) - 4 = 0
In order to simplify this equation, we will replace the reoccuring term by a variable.
From the equation we can see that (x+5) is occuring the most. Let u = x + 5 so that:
6u^2 - 5u - 4 = 0
Hence the substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
Learn more on quadratic equation here: brainly.com/question/1214333
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I don't entirely know what you mean by 'rate of change', but I'll assume that you mean slope.
0, -4 and 3, 2 are on the coordinate plane.
From 0, we go over three to reach 3.
From -4, we go up six to reach 2.
Since slope is in essence, rise/run, we have the following fraction:
6/3, which can be re-written as 2/1 or just 2.
Hope this helps!
Point and line are geometric terms for the Eiffel Tower
.87 is correct you can always check your work with an online calculator. :)
