Answer:
x^3+6x^2+11x+12
Step-by-step explanation:
(x+4)(x^2+2x+3)
=x(x^2+2x+3)+4(x^2+2x+3) [by multiplying with bith sides]
=x^3+2x^2+3x+4x^2+8x+12
=x^3+2x^2+4x^2+3x+8x+12
=x^3+6x^2+11x+12
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Answer:
The slope of the line passing through the points (-3, 7) and (2, -6) is -13/5.
Step-by-step explanation:
Use the slope formula to find the slope of the line based on two points.
m = y₂ - y₁/x₂ - x₁
Substitute the values
m = -6 - 7/2 - (-3)
Simplify.
m = -13/5
The slope of this line is -13/5.
Csc^2x-cot^2x=1
Here is why
csc^2x=1+cot^2x
so:
1+cot^2x-cot^2x=1
1=1
The angle of elevation that the instruments have to record to be at the correct height is given as 79°
<h3>How to solve for the angle of elevation</h3>
We have 2x + 70 = 180
We have to find the value of x
2x = 110
x = 55
y/sin x = 225/sin70
This is the use of sine rule
From here we would have
y = 225(sinx/sin70)
Remember x = 55
y = 225(sin55/sin70)
y = 196.1378
tanθ = 1000/y
tan θ = 1000/196.1378
tanθ = 5.098
θ = tan⁻¹5.098
= 78.90°
Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.
Read more on the angle of elevation here:
brainly.com/question/88158
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