Hello:
ln(2e^3x) =ln2+lne^3x
<span> =ln2 +3xlne
= ln2+3x .....lne=1
</span><span>choice B</span>
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP




a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to
is
. Thus:
≅ 
c. Since
≅
, therefore:

(substitution)
Add 1 to both sides


Divide both sides by 3


2. a. Slope of LK = 
Slope of LM = 
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):






✍️Length of LM is the distance between L(-7, 4) and (-2, 1):





(nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
Answer:
15.5
Step-by-step explanation:
4c + 5g
= 4(2) + 5(1.5)
= 8 + 7.5
= 15.5
Answer:
points (8, 0) and (3, 0)
Step-by-step explanation:
Here we're being asked to find the roots of this quadratic equation.
Set f(x) = 3(x² - 11x + 24 = 0.
This factors into f(x) = 3(x - 8)(x - 3) = 0.
Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3. These correspond to the points (8, 0) and (3, 0).
Answer:
(a is size of side of triangle)
the perimeter of equilateral triangle =3a
or, 36=3a
Thus, a = 13cm
area of equilateral triangle
=√3/4*(a^2 )
=√3/4*(13^2)
=73cm^2