Answer:
g(x)=3
Step-by-step explanation:
Let's find the answer.
W(f,g)=3e^x which can be written as:
W(f,g)=(3)*(e^x), notice that:
(e^x)=f(x) so:
W(f,g)=3*f(x), establishing:
W(f,g)=g(x)*f(x) then:
g(x)=3
In conclusion, g(x)=3.
Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
Answer:
y=2x+y-int
Step-by-step explanation:
If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.
Use this value of slope to calculate the y intercept. 2 = ( 2 - y-int)/4 - 0)
THus, your equation is y = 2x + y-int
The correct answer is C. A scalene triangle can be a right triangle.
This is because a scalene triangle is a triangle where all of the sides and angles are different from one another. This automatically tells us that options A and D are incorrect, because equiangular triangles have all 3 angles equivalent and if two sides were of equal length in the triangle, then it would not be scalene.
This leaves us with options B and C. An obtuse triangle simply has one angle with a measure greater than 90 degrees, and a right triangle is a triangle with a right angle (an angle that measures exactly 90 degrees). Scalene triangles can be both obtuse and right, as long as the side lengths and angles are not equal to one another. This makes option B incorrect, and option C the only correct option out of the four.
Your answer is option C.
Hope this helps!
Answer:
x = 5±sqrt(3)
Step-by-step explanation:
(x-5)^2=3
Take the square root of each side
sqrt((x-5)^2)=±sqrt(3)
x-5 = ±sqrt(3)
Add 5 to each side
x-5 +5= 5±sqrt(3)
x = 5±sqrt(3)
