Answer:
6x -16
Step-by-step explanation:
f(x) = 6x + 2
f(x-3) =
Replace x with x-3
f(x) = 6(x-3) + 2
Distribute
= 6x - 18 +2
= 6x -16
Answer: Lenayah's presentation was 12 minutes long.
Step-by-step explanation:
- Set up a proportion. 2/3 = 8/x.
- Cross multiply. 2x = 24
- Divide both sides by 2. x =12
<h3>
Answer: 26</h3>
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Explanation:
a = 26 and b = 26 are the congruent legs
angle C = 60 degrees is between sides 'a' and b
c = unknown base which is opposite angle C
We'll use the law of cosines to find this missing side.
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 26^2 + 26^2 - 2*26*26*cos(60)
c^2 = 676
c = sqrt(676)
c = 26
It turns out that all three sides are the same length (26), which means this isosceles triangle is really equilateral. Consequently, it means all three interior angles are 60 degrees each.
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Here's another way to see why we have an equilateral triangle.
The vertex angle is 60 degrees. Let x be the measure of each base angle. Those two base angles add to the 60 degrees to get 180
x+x+60 = 180
2x+60 = 180
2x = 180-60
2x = 120
x = 120/2
x = 60
Each base angle is 60 degrees, so all three angles are 60 degrees. This points us to the triangle being equilateral and we can say all three sides are 26 units long.
If we didn't have an equilateral triangle, then we'd have no choice but to use the law of cosines mentioned earlier.
Trayvon's weight on the planet Saturn is:
142 pounds* (0.92)= 130.64 pounds.
142 pounds- 130.64 pounds= 11.36 pounds.
Final answer: The difference between Trayvon's weight on Earth and his weight on the planet Saturn is A. 11.36 lb.
Hope this would help~
