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4 years ago

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

6.5c - 2.5c + 9 = -7 solve for c​

6.5c - 2.5c + 9 = -7 solve for c