Answer:
added!
Step-by-step explanation:
Answer:
x=-1-5√17/2
Step-by-step explanation:
logo((x-2)(x+2))=2
logo(x²+3x-2x-6)=2
x²+3x-2x-6=10²
x²+x-6=100
x²+x-106=0
x=-1+5√17/2
Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to
![P=x+y+z](https://tex.z-dn.net/?f=P%3Dx%2By%2Bz)
![P=3,067\ mi](https://tex.z-dn.net/?f=P%3D3%2C067%5C%20mi)
so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A
![3,067=(y-71)+y+(y+372)](https://tex.z-dn.net/?f=3%2C067%3D%28y-71%29%2By%2B%28y%2B372%29)
solve for y
![3,067=3y+301\\3y=2,766\\y=922](https://tex.z-dn.net/?f=3%2C067%3D3y%2B301%5C%5C3y%3D2%2C766%5C%5Cy%3D922)
Find the value of x
![x=y-71\\x=922-71\\x=851](https://tex.z-dn.net/?f=x%3Dy-71%5C%5Cx%3D922-71%5C%5Cx%3D851)
therefore
The measure of the shortest side is 851 miles
The -4 will translate the graph of f(x) 4 units to the right.
Then the -2 before the x will stretch it vertically with factor 2, then reflect it in the y -axis.
Finally the + 5 will translate the graph 5 units vertically upwards
7/12-9/8(2x-1)-5/6(3x+2)=0
(7*2-9(2x-1)*3-5(3x+2)*4)/24=0
(14-9(2x-1)*3-5(3x+2)*4)/24=0
(14-27(2x-1)-20(3x+2)/24=0
(14-54x+27-60x-40)/24=0
(14+(-54x-60x)+27-40)/24=0
(14-114x+27-40)/24
(-144x+1)/24=0
-114x+1=0
-114x=-1
x=1/144