W + 8 = -4 - 6w / + 6w;
7w + 8 = - 4 / -8;
7w = -12 /÷7
w = -12/7 is the solution of the equation.
We verify: -12/7 + 8 = -4 - 6 x ( -12/7 );
Then, -12/7 + 56/7 = -28/7 + 72/7;
44/7 = 44/7 ( TRUE );
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Answer:
(b) 48
Step-by-step explanation:
In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.
x = √(36·64) = √36×√64 = 6×8
x = 48
_____
All of the triangles are similar, so the ratios of corresponding sides are the same.
short side/long side = x/64 = 36/x
x^2 = (64)(36) . . . . as above
Answer:
- lesser x = -1.84
- lesser x = -8.16
Step-by-step explanation:
Given the expression
Add 10 to both sides
Simplify
solve
Subtract 5 from both sides
so
Subtract 5 from both sides
Simplify
As -1.84 > -8.16
so
- lesser x = -1.84
- lesser x = -8.16
(x+2)/(x) + (x-3)/(x+2)
Common denominator x(x+2)
Reduce both to common denominator:
x+2)/[x(x+2)] + (x-3)/[x(x+2)] ===> [(x+2)² + (x-3)] / [x(x+2)]
= [x²+4x+4+x-3] / [x(x+2)]
=[x²+54x+1] / [x(x+2)]
