Answer:
c = 7√2
Step-by-step explanation:
Apply pythagorean theorem to find the third side.
Thus, c² = a² + b²
where, c is the third side and a and b are the other sides.
Plug in the values
c² = 8² + (√34)²
c² = 64 + 34
c² = 98
c = √98
c = √(49 * 2)
c = 7√2
Answer:
2 4/36
Step-by-step explanation:
To do this, multiply the whole number by the denominator and add it to the numerator.
8 x 9 = 72
72 + 4 = 76
76/9
<em>Then multiply across (multiply numerators with numerators; denominators with denominators)</em>
76 x 1 = 76
9 x 4 = 36
76/36 = 2 4/36
____________________________
<em>A faster way to do this is to multiply the whole number by the fraction and then the fraction by the fraction.</em>
1/4 x 8/1 = 8/4 = 2
1/4 x 4/9 = 4/36
= 2 4/36
We have the following expression:
We must find an equivalent expression without parenthesis, for this, we can apply the product of signs and apply the law of signs
The answer, in conclusion, an equivalent expression is:
Answer:
The average rate of change for this sequence is 1
Step-by-step explanation:
The average rate of change is calculated as the slope of the line joining the end points of the sequence.
In this case the end points are;
(-.5, 2.5) and (1,4)
We simply calculate the slope using the gradient formula;
Change in y / change in x
(4 - 2.5)/(1 - -0.5) = 1
