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photoshop1234 [79]
3 years ago
8

Pls help, it’s worth 15 points!

Mathematics
2 answers:
babunello [35]3 years ago
7 0
It’s option 1: 30 + 22i
Molodets [167]3 years ago
5 0

Answer:

(1) <em>30 + 22i </em>

Step-by-step explanation:

x = 3 + 7i ⇒ 2x = 6 + 14i

y = - 6 - 2i ⇒ 4y = - 24 - 8i

2x - 8y = ( 6 + 14i ) - ( - 24 - 8i ) = 6 + 14i + 24 + 8i = (6 + 24) + (14i + 8i )

2x - 8y = <em>30 + 22i</em>

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Write your own word problem and share it with the group. Then translate your problem into its resulting math equation. What step
Ainat [17]

Step-by-step explanation:

Word Problems are mathematical problems presented in complete languages, rather than in mathematical notations.

Example:

A certain number is divided by half, the result is added to itself to give 6, what is the number?

Solution:

- Let the number be x

- Divide x by half:

In word problem, extra caution is to be taken, as misinterpretation can be very chaotic. Dividing a number by 2, is totally different from dividing the number by half.

4 divided by 2 is 4÷2 = 2

4 divided by half is 4÷½ = 4×2/1 = 8

2 and 8 are different, reason to be cautious.

So dividing x by half, we have:

x ÷ 1/2 = x × 2/1 = 2x.

- Now, what we have is

2x + x = 6

Solving this equation, we can obtain the value of x.

2x + x = 6

3x = 6

Dividing both sides by 3

3x/3 = 6/3

x = 2.

Therefore, the solution to the word problem is x = 2.

6 0
3 years ago
G is the centroid of triangle ABC.
AleksAgata [21]

Answer:

  • x = 37
  • DG = 22
  • AG = 44
  • AD = 66

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

  (x+7) = 2(x -15)

  x + 7 = 2x - 30 . . . . eliminate parentheses

  37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Of course, AD = AG +GD = 44 +22 = 66

7 0
2 years ago
Read 2 more answers
Keith receives $25000 salary for working as a account. If keith spends 40% of his salary on expenses each year, then how much mo
Scrat [10]

Answer:

$25000 * 40% = 100.000

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A central angle in a circle with a radius of 3 cm intercepts an arc with a length of 6 cm what is the measure of the central ang
Fiesta28 [93]

Answer:

114.59\°

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

In this problem we have

r=3\ cm

substitute

C=2\pi (3)=6 \pi\ cm

Remember that

360\° subtends the arc length of the complete circle

so

by proportion

Find the measure of the central angle for an arc length of 6\ cm

\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°

7 0
3 years ago
The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base.
tresset_1 [31]

Answer:

14 yards

Step-by-step explanation:

the area of a triangle is 0.5×b×h

so

plug in what you have

0.5×b×3=21

(3x0.5)b=21

1.5b=21

b=21/1.5

b=14

6 0
2 years ago
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