So you want to take out the GCF first.
The GCF is 2x
2x(x^2+2x+4)
This is your final answer because there is not other way to factor.
6(1/2 + 2/3 + 3/4)
= 6(1/2) + 6(2/3) + 6(3/4)
= 3 + 4 + 4 1/2
= 11 1/2
Answer
11 1/2 (23/2 or 11.5)
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5
For #1 you have one leg of a right triangle measuring 4000 (the height of the mountain) and the other leg is 3000 (the distance that Mario is from Jenna). The angle of elevation is the one on the base of the triangle across from the right angle. To find the measure of the angle, use the tangent ratio: tan(A)=4000/3000, which could be simplified to tanA = 4/3. Do that on your calculator using the inverse tangent function to get that the angle of elevation from Mario to Jenna is 53 degrees.
For #2 you have another right triangle situation where the length of the hypotenuse is 20 and the base leg is 10. You are finding again the base angle across from the right angle. Use the cosA=10/20, aka cosA=.5. Again use the inverse cos function on your calculator to find the angle in question is 60 degrees.
Answer:
triangular prism
Step-by-step explanation:
