According to the rational root theorem, which number is a potential root of

1 answer:

6 0

Potential roots have the format

factors of the constant term
-------------------------------------
factors of the initial term

Here, 7/3 is the only possible root that has a 7 in the numerator and a factor of 9 in the denominator.

Verify that 7/3 is a root using synthetic division.

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Write 43 as a sum of powers of 2.<br> (2 Has to be the Base not the exponent)

slamgirl [31]

Answer:

2⁰ + 2¹+ 2⁵ +2³ = 43

Step-by-step explanation:

since 43 is odd, we know 2⁰ or 1 must be one of the sums

43 - 2⁰ = 42

42 - 2¹ = 40

16 = 2⁴

40-2(16) = 40 - 2⁵ = 8

8 = 2³

adding this all together

2⁰ + 2¹+ 2⁵ +2³ = 43

6 0

4 years ago

If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 8 cm, find the length of the lo

Brilliant_brown [7]

Answer:

The length of the longer leg is 6.24 cm.

Step-by-step explanation:

Here, the length of the hypotenuse = 8 cm

The length of shorten leg ( Base) = 5 cm

Let us assume the length of longer leg (Perpendicular) = k cm

Now, as the given triangle is a right angled triangle.

So, by the PYTHAGORAS THEOREM:

$( Base)^2 + ( Perpendicular)^2 = ( Hypotenuse)^2\\\implies (5)^2 + (k)^2 = (8)^2\\\implies k^2 = 64 - 25 = 39\\\implies k^2 = 39\\k = \sqrt{(39)} = \pm (6.24)$