(m^4 + m^3 + 4) + (-5m^4 + 4m + 1) =
m^4 + (-5m^4) + m^3 + 4m + 4 + 1 =
-4m^4 + m^3 + 4m + 5
The answer is B
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Answer:
y = 7/5 x + 31
Step-by-step explanation:
To find the slope, we need to use the formula
m = (y2-y1)/(x2-x1)
m =(-4-17)/(5- -10)
= -21/(5+10)
= 21/15
Divide the top and bottom by 3.
= 7/5
The slope is 7/5.
Using the point slope form of the equation,
y-y1 = m(x-x1)
y-17 = 7/5 (x--10)
y-17 = 7/5(x+10)
Distribute the 7/5 ths.
y-17 = 7/5 x + 7/5*10
y-17 = 7/5 x +14
Add 17 to each side
y = 7/5 x + 14 + 17
y = 7/5 x + 31
This is in slope intercept form, with the slope being 7/5 and the y intercept of 31
Answer:
A, C, E
Step-by-step explanation:
The square root of 10 is approximately 3.16, which is greater than pi which is equal to about 3.14, which shows that C is correct as well. The square root of 11 is 3.31, and the square root of 5 added to the square root of 6 is equal to about 3.69, which is greater than the square root of 11.
