Five times the difference of twice a number and nine is negative five. Find the number.
2 answers:
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Answer:
Step-by-step explanation:
We have been given an expression . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form .
To convert our given expression into perfect square trinomial, we need to add and subtract from our given expression.
We can see that value of b is 11, so we need to add and subtract to our expression as:
Upon comparing our expression with , we can see that
,
and
.
Upon simplifying our expression, we will get:
Therefore, our perfect square would be .
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Answer:
7 cm, 4.4 cm
Step-by-step explanation:
The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...
s = √(a² +b² -2ab·cos(C))
s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}
The two side lengths are 7 cm and about 4.4 cm.
