It has been awhile since I worked with in qualities but I got the answer,
-1/3 < or equal to p < or equal to 2.
I multiplied the 5 in the middle of the equation with what's in parentheses to get 15p - 10, then I added 10 to both outer sides of the equation and got
-5 < or equal to 15p < or equal to 30.
Then lastly I divided 15 by -5 and 30!
I hope that's right.. I'm sorry if it isn't!
Answer:
It is given that in triangle XYZ, XY = 13, YZ=20, and XZ=25.Using the law of cosines, we have
CosC=\frac{a^2+b^2-c^2}{2ab}
cosZ=\frac{(YZ)^2+(XZ)^2-(XY)^2}{2(YZ)(XZ)}
CosZ=\frac{(20)^2+(25)^2-(13)^2}{2(20)(25)}
CosZ=\frac{400+625-169}{1000}
CosZ=\frac{856}{1000}
CosZ=0.856
Z=cos^{-1}(0.856)
Z=37.13^{\circ}
Step-by-step explanation:
46.25 according to my calculator
For #1. Step 1: Set the equations equal to one another: (3x + 20) = (2x + 40)
Step 2: Subtract 2x on both sides of the equal sign: (3x-2x + 20) = (2x-2x + 40)
x + 20=40
Step 3: Subtract 20 on both sides of the equal sign: x + 20-20= 40-20
x=20
Step 4: plug in 20 for x: 3(20) + 20= 80 & 2(20) + 40= 80
(a+h)^2+3(a+h)+5(a+h)
a^2+2ah+h^2+3a+3h+5
(x^2+3ax+5)(a+h)
<span>H^2+3a+3h+5</span>