Answer:
10x^3 - 34x^2 + 33x - 7
Step-by-step explanation:
Multiply each term of the trinomial by each term of the binomial. Then combine like terms.
(2x^2 - 4x + 1)(5x - 7) =
= 10x^3 - 14x^2 - 20x^2 + 28x + 5x - 7
= 10x^3 - 34x^2 + 33x - 7
Answer:
Therefore the length of side x in simplest radical form with a rational denominator is
![x=2\sqrt{6}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%7B6%7D)
Step-by-step explanation:
Given:
Consider right triangle ABC
∠A = 60°
∠B = 90°
∠C = 30°
![AB=\sqrt{8}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B8%7D)
To Find:
BC = x = ?
Solution:
In Right Angle Triangle ABC Tan Identity
![\tan C= \frac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}](https://tex.z-dn.net/?f=%5Ctan%20C%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20C%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20C%7D%7D)
Substituting the values we get
![\tan 30 = \dfrac{AB}{BC}](https://tex.z-dn.net/?f=%5Ctan%2030%20%3D%20%5Cdfrac%7BAB%7D%7BBC%7D)
![\dfrac{1}{\sqrt{3}}=\dfrac{\sqrt{8}}{x}\\\\x=\sqrt{3}\times \sqrt{8}=\sqrt{24}=2\sqrt{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%3D%5Cdfrac%7B%5Csqrt%7B8%7D%7D%7Bx%7D%5C%5C%5C%5Cx%3D%5Csqrt%7B3%7D%5Ctimes%20%5Csqrt%7B8%7D%3D%5Csqrt%7B24%7D%3D2%5Csqrt%7B6%7D)
Therefore the length of side x in simplest radical form with a rational denominator is
![x=2\sqrt{6}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%7B6%7D)
Answer:
Step-by-step explanation:
(fog)(-2) = f(g(-2)) =f(9) = -13
Answer:
Option 3, angle 2 is equal to 37 degrees
Step-by-step explanation:
Angle 2 is on the opposite side of the 37 degree angle, so it is also 37 degrees
Answer:
x = 8.75, y = 8.125
Step-by-step explanation:
The triangles are similar thus the ratios of corresponding sides are equal, that is
=
( cross- multiply )
8x = 70 ( divide both sides by 8 )
x = 8.75
And
=
( cross- multiply )
8y = 65 ( divide both sides by 8 )
y = 8.125