Answer: B) No; the remainder is 234, so (x+3) is not a factor.
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Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).
It’s either A or D
Hope it helps!!! Good luck
A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.
The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.
![cos 40=\frac{10}{Hypotenuse EG.}](https://tex.z-dn.net/?f=cos%2040%3D%5Cfrac%7B10%7D%7BHypotenuse%20EG.%7D)
B) Cos 40 =0.766.
Substituting tan40 value we have:
![0.766=\frac{10}{EG}](https://tex.z-dn.net/?f=0.766%3D%5Cfrac%7B10%7D%7BEG%7D)
EG=13.05.
C)Sum of angles in triangle is 180.
<E+<F+<G=180
<E+90+40=180
<E+130=180
<E=50 degrees.
D) ![Tan 40=\frac{EF}{10}](https://tex.z-dn.net/?f=Tan%20%2040%3D%5Cfrac%7BEF%7D%7B10%7D)
EF=8.39
E) Area of triangle EFG= ![\frac{1}{2}x base x height.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%20base%20x%20height.)
A rea of the triangle = ![\frac{1}{2}x8.39x13.05](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx8.39x13.05)
Area= 54.75 square units.
Answer: Using Pythagoras Rule the ladder touches 13.75ft ~ 14ft up the wall.
Step-by-step explanation: Using the Pythagoras Rule the Hypothenus is the leaning hieght of the ladder 15ft
And the base is 6ft. Now let's find the height of the wall h¹
h¹ = √{15² - 6²}
h¹ =√{225 - 36}
h¹ = √189
= 13.74ft
Answer:
x=-5
Step-by-step explanation:
please refer to the picture for explanation