First let you know what to do. OK. Going to drag a ruler. Across the paper. Vertically. And if it touches 2 points on the grid. Then it fails the test.
Answer:
x^2-7x+8=0
Step-by-step explanation:
(x+1)(x-8)=0
x^2-7x+8=0
The value of the expression in simplest form is: 55 8/17.
Hope this helps! :D
~PutarPotato
Answer:
x ≈ -4.419
Step-by-step explanation:
Separate the constants from the exponentials and write the two exponentials as one. (This puts x in one place.) Then use logarithms.
0 = 2^(x-1) -3^(x+1)
3^(x+1) = 2^(x-1) . . . . . add 3^(x+1)
3×3^x = (1/2)2^x . . . . .factor out the constants
(3/2)^x = (1/2)/3 . . . . . divide by 3×2^x
Take the log:
x·log(3/2) = log(1/6)
x = log(1/6)/log(3/2) . . . . . divide by the coefficient of x
x ≈ -4.419
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A graphing calculator is another tool that can be used to solve this. I find it the quickest and easiest.
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<em>Comment on alternate solution</em>
Once you get the exponential terms on opposite sides of the equal sign, you can take logs at that point, if you like. Then solve the resulting linear equation for x.
(x+1)log(3) = (x-1)log(2)
x=(log(2)+log(3))/(log(2)-log(3))
Answer:
Step-by-step explanation:
A) identical triangles PSR and PSQ
B) in the given triangle PQR angle P is 90 degrees and PS is perpendicular on QR. so the angle PSR and angle PSQ is 90 degrees also angles RPS , SPQ are 45 degrees . hence when two angles of a triangle are 90 and 45 degrees. the third is also 45 degrees. when the three angles of two triangles are equal they are said to be similar
C) the triangle PSR is a isosceles triangle therfore the two sides of the two oposite equal angles must be equal. if RS=4 then SP=4 as well the sides opposite to 45 degrees angles. the third side can be found by using the formula
c²=a²+b²
c²=4²+4²=16+16=32
c=√32=√16*2=4√2