Answer:
In Δ CFD , CD is the LONGEST side.
Step-by-step explanation:
Here, the given Δ CSD is a RIGHT ANGLED TRIANGLE.
Now, as we know in a right triangle, HYPOTENUSE IS THE LONGEST SIDE.
So, in Δ CSD SD is the longest side as SD = Hypotenuse.
Now, an altitude CF is drawn to hypotenuse SD.
⇒ CF ⊥ SD
⇒ Δ CFD is a RIGHT ANGLED TRIANGLE with ∠ F = 90°
and CD as a hypotenuse.
⇒ In Δ CFD , CD is the LONGEST side.
Hence, CD is the longest side in the given triangle CFD.
Answer:
![=x^3-x^2+3x-3+\frac{4}{x+1}](https://tex.z-dn.net/?f=%3Dx%5E3-x%5E2%2B3x-3%2B%5Cfrac%7B4%7D%7Bx%2B1%7D)
Step-by-step explanation:
![\frac{x^4+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{x^4+2x^2+1}{x+1}:\quad \frac{x^4+2x^2+1}{x+1}=x^3+\frac{-x^3+2x^2+1}{x+1}\\=x^3+\frac{-x^3+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{-x^3+2x^2+1}{x+1}:\quad \frac{-x^3+2x^2+1}{x+1}=-x^2+\frac{3x^2+1}{x+1}\\=x^3-x^2+\frac{3x^2+1}{x+1}\\\mathrm{Divide}\:\frac{3x^2+1}{x+1}:\quad \frac{3x^2+1}{x+1}=3x+\frac{-3x+1}{x+1}\\=x^3-x^2+3x+\frac{-3x+1}{x+1}\\\mathrm{Divide}\:\frac{-3x+1}{x+1}:\quad \frac{-3x+1}{x+1}=-3+\frac{4}{x+1}\\=x^3-x^2+3x-3+\frac{4}{x+1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E4%2B2x%5E2%2B1%7D%7Bx%2B1%7D%5C%5C%5Cmathrm%7BDivide%7D%5C%3A%5Cfrac%7Bx%5E4%2B2x%5E2%2B1%7D%7Bx%2B1%7D%3A%5Cquad%20%5Cfrac%7Bx%5E4%2B2x%5E2%2B1%7D%7Bx%2B1%7D%3Dx%5E3%2B%5Cfrac%7B-x%5E3%2B2x%5E2%2B1%7D%7Bx%2B1%7D%5C%5C%3Dx%5E3%2B%5Cfrac%7B-x%5E3%2B2x%5E2%2B1%7D%7Bx%2B1%7D%5C%5C%5Cmathrm%7BDivide%7D%5C%3A%5Cfrac%7B-x%5E3%2B2x%5E2%2B1%7D%7Bx%2B1%7D%3A%5Cquad%20%5Cfrac%7B-x%5E3%2B2x%5E2%2B1%7D%7Bx%2B1%7D%3D-x%5E2%2B%5Cfrac%7B3x%5E2%2B1%7D%7Bx%2B1%7D%5C%5C%3Dx%5E3-x%5E2%2B%5Cfrac%7B3x%5E2%2B1%7D%7Bx%2B1%7D%5C%5C%5Cmathrm%7BDivide%7D%5C%3A%5Cfrac%7B3x%5E2%2B1%7D%7Bx%2B1%7D%3A%5Cquad%20%5Cfrac%7B3x%5E2%2B1%7D%7Bx%2B1%7D%3D3x%2B%5Cfrac%7B-3x%2B1%7D%7Bx%2B1%7D%5C%5C%3Dx%5E3-x%5E2%2B3x%2B%5Cfrac%7B-3x%2B1%7D%7Bx%2B1%7D%5C%5C%5Cmathrm%7BDivide%7D%5C%3A%5Cfrac%7B-3x%2B1%7D%7Bx%2B1%7D%3A%5Cquad%20%5Cfrac%7B-3x%2B1%7D%7Bx%2B1%7D%3D-3%2B%5Cfrac%7B4%7D%7Bx%2B1%7D%5C%5C%3Dx%5E3-x%5E2%2B3x-3%2B%5Cfrac%7B4%7D%7Bx%2B1%7D)
Answer:
C
Step-by-step explanation:
The expression is x>55 and 55 isn't included
Answer:
y + 16 = 3(x + 5)
Step-by-step explanation:
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (-16) = 3(x - (-5))
Simplify.
y + 16 = 3(x + 5)
This is your equation.
Learn with another example:
brainly.com/question/24436844
The answer would be 39/40.
1. Find the LCD of both of the fractions (LCD = 40)
2. Make the denominators the same as LCD (The LCD would be 40)
3. Simplify (24/40 + 15/40)
4. Join the denominators (24 + 15/40)
5. Simplify (39/40)
In decimal form its 0.975.