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Naily [24]
3 years ago
14

If 3,a-1,a+1 and 5 are pproportional,then a =?

Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

a = ± 4

Step-by-step explanation:

Expressing the proportion in fractional form

\frac{3}{a-1} = \frac{a+1}{5} ( cross- multiply )

(a -1 )(a + 1) = 15 ← expand factors on left side

a² - 1 = 15 ( add 1 to both sides )

a² = 16 ( take the square root of both sides )

a = ± \sqrt{16} = ± 4

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Explain why (–4x)^0 = 1, but –4x^0 = –4.
Nastasia [14]
Any number raised to power zero = 1. 

Note that 0 raised to power 0 is not 1, it is undefined.

Therefore:

(-4x)⁰ = 1

For the second part  -4x⁰ = :

x⁰ = 1,    -4x⁰ = -4*(1) = -4

 This is true on the assumption that x is not equal to zero.

I hope this explains it.
8 0
4 years ago
Is the relationship between the temperature scales proportional?Why or why not?
zhannawk [14.2K]

Answer: No, see explanation below

Step-by-step explanation:

For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.

\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29

In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional

4 0
3 years ago
19.75 with a 6 percent tax
Helga [31]

Answer:

20.935

Step-by-step explanation:

19.75×6/100=1.185

19.75+1.185=20.935

5 0
3 years ago
Find the area of the shaded region.
sineoko [7]

Answer:

42.14

Step-by-step explanation:

First find the area of the square:

14x14=196

Then find the area of the circle:

It has a diameter of 14 so divide it by 2 to get the radius.

Then use the formula πr²

7²=49

49x3.14=153.86

Then subtract

196-153.86=42.14

3 0
3 years ago
In the right triangle shown angle A = 30° and BC= 4 how long is AB
natulia [17]

Answer:

150 degrees

Step-by-step explanation:

Do 180 minus 30 and get 150. 180 is the total amount the triangle adds up to.

4 0
4 years ago
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