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Lubov Fominskaja [6]
4 years ago
10

6.5c - 2.5c + 9 = -7 solve for c​

Mathematics
2 answers:
svetlana [45]4 years ago
8 0

Answer:

c=-4.25

hope it helps. :)

irakobra [83]4 years ago
3 0

Answer:

c = - \frac{16}{3}

Step-by-step explanation:

Given

6.5c - 2.5c + 9 = - 7 ← combine like terms on left side

3c + 9 = - 7 ( subtract 9 from both sides )

3c = - 16 ( divide both sides by 3 )

c = - \frac{16}{3}

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than h
mariarad [96]

The average speed of his trip is = 12 mile/ hour

The total distance covered by the driver = 240 miles

The rate at which he traveled = 12 miles per hour

Therefore, the time he used to cover his distance

= 240/12

= 20 hrs

But average speed = distance/ time

= 240/ 20

= 12 miles/ hour

Therefore, the average speed of his trip is = 12 mile/ hour

Learn more here:

brainly.com/question/11753352

8 0
2 years ago
The bases of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. What is the area of the trapezoid?
stepan [7]
The formula to use is A=(b1+b2)h if one base is 24 and the other one is 16 which equals to 40 when you add then you still have H which is 12 so you could either divide 12 by two to get half or multiply by 12 and then divide it
40•12=480
480 divided by 2= 240
Your final answer should be 240ft
4 0
3 years ago
49 PTS
ANTONII [103]

so i am sure you know that 1 hour is sixty minutes

so this is how it woulds

10/1 * 60/1 = 600 minutes

so that means that 10 hours would be equal to 600 minutes

then add on the 39 minutes

639

BUT WAIT there are the seconds

24/1 * 1/60 = 0.4

so 24 seconds is 0.4 (40%) of a minute

so it would take 639.4 minutes for saturn to make a full rotation

i hope this helped and please vote me for brainliest! have a nice day!

8 0
3 years ago
Read 2 more answers
The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width. What is the perimeter of the rectangle
hichkok12 [17]
A perimeter of a rectangle is:
2(l+w)

They give you the width, but let's convert it to an improper fraction first:
6 \frac{2}{3} =  \frac{20}{3}

The length is twice the width so it is:
\frac{20}{3}*2 =  \frac{40}{3}

Now, we are ready to solve, plug in values in the perimeter formula:
2(  \frac{40}{3}+ \frac{20}{3}) =  2(\frac{60}{3}) =  \frac{120}{3} = 40

So, 40 is your answer.
6 0
4 years ago
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