A counterexample for the statement 'All square roots are irrational numbers.' is the square root of 9. This is because when simplified, the answer is 3.
For a number to be irrational, it can't be expressed in fractional form. However, 3 can be expressed in fractional form as 3/1.
Answer: Use this rule to change the term to a radical:
x
1
n
=
n
√
x
18
1
2
⇒
2
√
18
⇒
√
18
We can simplify this expression, if necessary, by using this rule for radicals:
√
a
⋅
b
=
√
a
⋅
√
b
√
18
⇒
√
9
⋅
2
⇒
√
9
⋅
√
2
⇒
3
√
2
Step-by-step explanation:
Following attachment has ur answer.
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There are a couple of different ways you could do this, but I'll show the simpler way. We will use the formula
along with the fact that the vertex has h and k coordinates of 1 and 4 respectively, and that a point on the graph is (3, 5). We could have used any point on the graph where there is a definite integer coordinate pair. We will fill in accordingly and solve for a.
and
5 = 4a + 4. If we subtract 4 from both sides we get that 
. Now we will fill in the formula and expand as needed:
and
. If we distribute the 1/4 in and then add the constants the final equation for that graph will be
Answer:
35
Step-by-step explanation:
The formula for solving the area of parrelelograms is B(base) times H(height).
the height here is 5 and the base is 7 so the area is 35.
