Answer: Slope: 3
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(4-(-2))/(3-1)
m=(4+2)/2
m=6/2
m=3
We can use the distributive property to simplify this expression.
I split this up into different parts--it helps me visualize better.
To begin, "-2m(m + n - 4)" becomes "-2m^2 - 2mn + 8m"
Then, "5(-2m + 2n)" becomes "-10m + 10n"
Finally, "n(m + 4n - 5)" becomes "mn + 4n^2 -n"
We can then simplify even further by combining like terms. The final expression is: C
Hope this helps!
Answer:
about 76.2°
Step-by-step explanation:
The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.
Tan = Opposite/Adjacent
tan(angle) = (33,500/8,200)
angle = arctan (335/82) ≈ 76.246°
The angle of elevation is about 76.2°.
Answer:
85
Step-by-step explanation:
Given that :
Mean height , μ = 166
Standard deviation, σ = 8
Sample size, n = 1000
Using the Zscore formula :
Zscore = (x - μ) / σ
x = 177
Z = (177 - 166) / 8
Z = 1.375
P(Z > 1.375) = 0.084566(Area to the right of Z)
P(Z > 1.375) * n
0.084566 * 1000 = 84.566 = 85 soldiers
Answer:
The answer is D.) Quadrant IV
Step-by-step explanation:
I took a quiz on this before and Quadrant IV was correct but I don't know if it's true because some of you're answers are different from mine but on my quiz D was the answer