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Mariana [72]
3 years ago
8

MY NO (a) When we multiply two powers with the same base, we The exponents

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

add the exponents

Step-by-step explanation:

when multiplying 2 powers that have the same base, you can add the exponents

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The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
Which table does not represent a function?
Vitek1552 [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
I am half way between two consecutive numbers. The product of the two numbers is 650. what number am I ?
elena-14-01-66 [18.8K]

Answer: 325

650/2=325

6 0
3 years ago
Is 5/7 greater than 10/13
NeTakaya

Answer:

No is false

Step-by-step explanation:

5 / 7 > 10 / 13 = False

3 0
3 years ago
What is the domain of f/g, given f(x)=x+2 and g(x)=x-7?
kodGreya [7K]

Answer:

(-∞,7) U (7,∞)

Step-by-step explanation:

f(x)= x+2

g(x) = x-7

\frac{f(x)}{g(x)} =\frac{x+2}{x-7}

Here we have x-7 in the denominator

To find domain we set the denominator =0  and solve for x

x-7=0

Add 7 on both sides

x=7

x=7 makes the denominator 0 that is undefined

So we ignore 7 for x

Hence domain is

(-∞,7) U (7,∞)

5 0
3 years ago
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