The denominator( s ) we are given are 
, and . The first thing we want to do is factor the expressions, to make this easier -
This expression is a perfect square, as ( x )^2 = x^2, ( 2 )^2 = 4, 2 * ( x ) * ( 2 ) = 4x. Thus, the simplified expression should be the following -
The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -
Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.
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Answer:
-4x^2-28x
Step-by-step explanation:
Distribute
-4x(x) and -4x(-7)
-4x^2 and -28x
Answer:
Step-by-step explanation:
let the first piece=x ft
second piece=2 x ft.
third piece=6 x ft.
x+2x+6x=180
9 x=180
x=20
first piece=20 ft.
You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.
The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.
180° - 76° - 66° = 38°
Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.
sin 76° sin 38°
----------- = -----------
b 3
Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.
3 * sin 76° = b * sin 38°
b = 3 * sin 76° 3 * 0.56611 1.69832
--------------- = --------------- = ---------------- = 5.73044
sin 38° 0.29636 0.29636
To the nearest tenth, b - 5.7 units.
Answer:
35.36 cm
Step-by-step explanation:
The diagonal of a square will be given by
Where a is the length of one side and b is the length of another side. For a square, botj sides are equal hence the diagonal calculations will be as follows
Given that a is 25 then
D=35.3553390593274
Rounding off the nearest two decimal place
D=35.36 cm
