The fraction 8/21 cannot be simplified because the numerator and denominator don't have a common factor except 1.
Answer:
1)acute triangle
2) right angle
3) obtuse triangle
Step-by-step explanation:
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The given is that A B C D <span>x 4 = D C B A
</span><span>
Possible values of A are 1 or 2. It can't be 1 since the </span><span> </span><span>final result A is in unit place and 1 is not possible when we multiply any number by 4
</span><span>
2 B C D x </span><span>4 = </span><span>D C B 2</span>
It is clear above, that D = 8
2 B C 8 x <span>4 = </span><span>8 C B 2</span>
Possible values of B should be 1 or 2
We try B=1
2 1 C 8 x <span>4 = </span><span>8 C 1 2
</span>To find for C, you can use the equation:
(2000+100+10C+8) x 4 = 8000+100C+10+240C = 432-12 = 420
Therefore,
C = 7
So, the number is 2178.
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we have

we know that
The radicand must be greater than or equal to zero
so

solve for x
Adds 3 both sides


Multiply by -1 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so
The domain of the function is the interval (-∞,-3]
For x=-3 ---> the value of y=0
The range is the interval {0,∞)
therefore
The graph in the attached figure