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2 years ago

The _____ is used to compare values that are proportional.

1 answer:

6 0

Values which are proportional are represented by the Greek letter ‘Alpha’
So if A is proportional to B
We put the Alpha symbol between A and B to represent it

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Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscrip

Vlad [161]

Answer:

The simplified form of the expression is $\frac{1}{x^{7} y^{4}}$ .

Step-by-step explanation:

The expression is:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}$

The division rule of exponents is:

$a^{m}\div a^{n}=a^{m-n}$

The negative exponent rule is:

$a^{-m}=\frac{1}{a^{m}}$

Simplify the expression as follows:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]$

$=x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}$

Thus, the simplified form of the expression is $\frac{1}{x^{7} y^{4}}$ .

8 0

2 years ago

Read 2 more answers

What is the midpoint of the segment shown below?<br> (-12,-3) (3,-8)

shepuryov [24]

Answer:

Step-by-step explanation:

In order to find the midpoint of a line segment on a graph, you must add both "x" coordinates, then divide by 2.

Then, add both "y" coordinates, and divide by 2.

5 0

2 years ago

Which explains why a caterpillar might look like a dangerous snake? *

Arte-miy333 [17]

Answer:

the answer is D

Step-by-step explanation:

because i had the same quiz i just took it

3 0

2 years ago

Read 2 more answers

A blimp is 1500 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those

grigory [225]

Let stadium 1 be the one on the left and stadium 2 the one on the right.

Angle above stadium 1 is 72.9° and the angle above stadium 2 is 34.1° using the angle property of alternate angles(because both the ground and the dotted line are parallel).

For the next part we need to use the trigonometric function of tangent.

As tan x = opposite / adjacent,
Tan 72.9°=1500/ adjacent ( the ground from O to stadium 1)

Therefore the adjacent is 1500/tan 72.9°= 461.46 m( to 5 s.f.)

Same for the next angle,
Tan 34.1°=1500/ adjacent ( the ground from O to stadium 2)

Therefore, the adjacent is 1500/tan 34.1° = 2215.49 m (to 5 s.f.)

Thus, the distance between both stadiums is 2215.49-461.46= 1754.03 m

Correcting the answer to whole number gives you 1754 m which is the option C.

4 0

2 years ago

An observer from the top of a lighthouse 370 feet above sea level sees two sailboats in the water. The angles of depression to t

noname [10]

Answer:the sailboats are 358 feet apart.

Step-by-step explanation:

The diagram of the triangle representing the situation is shown in the attached photo.

B represents the position of the lighthouse.

D represents the position of the first sailboat.

C represents the position of the second sailboat.

x represents the distance between the two sailboats

We would apply trigonometric ratio

Tan # = opposite/adjacent

For triangle ABD,

Tan 12 = 370/AD

AD = 370/Tan 12 = 370/0.2126 = 1740.357 feet

For triangle ABC,

Tan 10 = 370/AC

AD = 370/Tan 10 = 370/0.1763 = 2098.695 feet

x = AC - AD = 2098.695 - 1740.357 = 358 feet

5 0

2 years ago