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slamgirl [31]
3 years ago
5

Help! i’ll mark the right one as brainliest :)!

Mathematics
2 answers:
sineoko [7]3 years ago
7 0

Answer:

4a. 4 / 9

4b. 1 / 81

4c. 1

4d. 1024

4e. 1 / 25

4f. 64

Step-by-step explanation:

4a. (2/3)^2 = (2^2 / 3^2) = 4/9

4b. 3^-4 = 1 / 3^4 = 1/81

4c. 4^0 = 1

4d. 4^2 x 4^3 = 4^5 = 1024

4e. 5^2 / 5^4 = 1 / 5^2 = 1/25

4f. (2^2)^3 = 2^6 = 64

Hopefully this helps!

MariettaO [177]3 years ago
4 0

Answer:

I’ll tell you how to solve these so you can do it yourself easily. If you still don’t understand, tell me and I’ll help out more :)

The exponent—small number in the top corner of another number—means the number of times you multiply the number by itself.

Example:

3²

I have to multiply 3 by 3 twice, therefore I do 3x3 and get 9. 3² = 9!

The · is a multiplication sign and the parenthesis indicate you multiply as well.

I’ll do 4a for you:

I see the exponent is 2, so I have to write:

2/3 · 2/3

I solve that by multiplying the numerators (2x2) and the denominators (3x3).

2/3 · 2/3 = 4/9.

The answer is 4/9.

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I believe it would  be 12

Step-by-step explanation:

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Find the missing Side of the triangle
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Answer:

2√15

Step-by-step explanation:

Use the Pythagorean theorem.

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Con
mr Goodwill [35]

Answer:

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)] (1)

Where:

O(x,y) - Point of reference.

P(x,y) - Original point.

P'(x,y) - Dilated point.

k - Dilation factor.

By applying this operation, point B becomes point D:

B(x,y) = (0,4), D(x,y) = (0,6)

D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]

D(x,y) = (0,0) + k\cdot (0,4)

(0,6) = (0,0) +(0,4\cdot k)

(0, 6) = (0,4\cdot k)

k = \frac{3}{2}

Lastly, we transform point C into point E by applying the same operation: C(x,y) = (3, 0), O(x,y) = (0,0) and k = \frac{3}{2}

E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]

E(x,y) = \left(\frac{9}{2}, 0 \right)

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

8 0
3 years ago
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