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Ede4ka [16]
3 years ago
11

3^16 as a power of 1/9

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

x = -9

Step-by-step explanation:

3^16 = (1/9)^x

9^18 = 9^-x

On comparing co-efficients :

-x = 9

x = -9

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A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the mi
EleoNora [17]

Answer:

c) 120 ft

Step-by-step explanation:

Let's consider the rhombus has 4 sides, A, B, C, and D.

To find the length of each side, let's first find the length AE.

From the diagram, AE is half of AC and AC = 30 ft.

Therefore,

AE = ½ * 30

AE = 15 ft

Let's find the length AD, since we are looking for the distance around the perimeter.

AD = \frac{15}{sin30} = \frac{15}{0.5} = 30 ft

We are told the rhombus is formed by four identical triangles.

Therefore the distance around the perimeter would be: AD+AD+AD+AD=

30 ft + 30 ft + 30 ft + 30 ft

= 120 ft

The distance around the perimeter of the garden is 120 ft

8 0
3 years ago
Read 2 more answers
(2x-3)(x+5)<br> SHOW WORK FOR POINTS
vagabundo [1.1K]
(2x-3)(x+5)
Use foil to simplify, First multiply together the first terms of the pairs, then the outer terms, the middle terms, and finally the last terms. Then combine like terms.
2x^2+10x-3x-15 equals 2x^2+7x-15
5 0
3 years ago
If y = -5x + 2 were changed to y=-7x+ 5, how would the graph of the new line compare with the first one? A. The new graph would
Anika [276]

D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.

The purple line is y=-5x + 2

The pink line is y = -7x + 5

5 0
3 years ago
Simplify the ratio 24:81
gizmo_the_mogwai [7]

Answer:

8 to 27

Step-by-step explanation:

3 0
3 years ago
Tickets to the zoo cost $14 for adults and $10 for children. A group of 12 people went to the zoo, and the tickets cost $140. Th
hjlf
 x is the number of adults and y is the number of children.
   x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
8 0
3 years ago
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