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Ede4ka [16]
3 years ago
6

8 cubed as a single power of 2

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

Answer:

2^{9}

Step-by-step explanation:

Using the rule of exponents

(a^m)^{n} = a^{mn}

note that 8 = 2³ and so

8³ = (2³ )³ = 2^{3(3)} = 2^{9}

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7 0
3 years ago
Are 165° and 1965° coterminal?​
MatroZZZ [7]

two angles are coterminal, namely land on the same spot on the circle.

let's check.

let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.

1965 ÷ 360, gives us a quotient of 5 with some remainder.

5 * 360 = 1800, 5 full circles

if we subtract the full circles from 1965

1965 - 1800 = 165

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5 0
3 years ago
Find a and b, if the points P(6,0) and Q(3,2) lie on the graph of ax + by =12
Musya8 [376]
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:

For the point (6,0):
ax + by = 12
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For point (3,2):
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2b = 12-6 = 6
b = 3

Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12

6 0
3 years ago
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