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I am Lyosha [343]
4 years ago
13

Find an ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8)

Mathematics
1 answer:
zaharov [31]4 years ago
8 0

Answer:

The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)

Step-by-step explanation:

b=(6,3)

c=(-4,8)

a=2b+c

Replacing b and c in the equation above:

a=2(6,3)+(-4,8)

Multiplying:

a=(2*6,2*3)+(-4,8)

a=(12,6)+(-4,8)

Adding:

a=(12+(-4),6+8)

a=(12-4,14)

a=(8,14)

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Simplify the square root of 3 times the fifth root of 3.
bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

\sqrt{3\sqrt[5]{3} }

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

\sqrt[n]{x^{m}}=x^{\frac{m}{n}}

Applying the property, we have:

\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}

Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}}  \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }

Therefore, the right answer is <em>three to the three fifths power.</em>

3 0
4 years ago
Read 2 more answers
A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship
Vsevolod [243]

Answer:

d = 2.5r and r = \frac{d}{2.5}

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

d\ \alpha\ r

Where d = daises and r = roses

Convert the above expression to an equation

d = kr

Make k the subject

k = \frac{d}{r}

When d = 5 and r = 2;

k = \frac{5}{2}

k = 2.5

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

d = 2.5 * r

d = 2.5r ----------- (1)

Make r the subject in (1)

r = \frac{d}{2.5} ------------------------(2)

Hence, the relationships between d and r are:

d = 2.5r and r = \frac{d}{2.5}

6 0
3 years ago
Write down the value of 6 in the number 8675
Wewaii [24]

Answer:

six hundred = 600

<u><em>Please mark as brainliest if answer is right </em></u>

Have a great day, be safe and healthy  

Thank u  

XD  

6 0
3 years ago
Read 2 more answers
A pool in the shape of a rectangular prism has a width of 8 1/2 feet (ft), a length of 12ft, and a depth of 8 ft
frozen [14]

V=lwh, where V is volume, l is length, w is width, and h is height.  Plug in and solve:

V=12(8.5)8

V=816

C) 816ft3

Hope this helps!!

7 0
3 years ago
Deli sandwich eat $3.95 each what is it the total cost of 6 sandwich
timofeeve [1]

Answer: 23.70


Step-by-step explanation:

Because 3.95x6=23.70

6 0
3 years ago
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