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Salsk061 [2.6K]
2 years ago
6

Solve the system of equations by substitution. 5x + y =18 Y=4x

Mathematics
1 answer:
mixer [17]2 years ago
6 0

Answer:

x =2 y= 8

Step-by-step explanation:

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If (2 − 3i) + (x + yi) = 6, what is x + yi?
Soloha48 [4]

(2 − 3i) + (x + yi) = 6

We add the left hand side

(2+x) + (-3+y)i = 6

6 can be written in a+ib

6 can be written as 6 + 0i

(2+x) + (-3+y)i = 6 +0i

Now we frame 2 equations

2 + x= 6

-3 + y =0

Solve the first equation

2 + x = 6

Subtract 2 from both sides

x = 4

solve the second equation

-3 + y =0

Add 3 on both sides

y= 3

So x+yi is 4+3i

7 0
3 years ago
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Which polynomial is the perfect square trinomial? And why??? Help Please!!
lutik1710 [3]
<h3>Answer:</h3>

See the attached

<h3>Step-by-step explanation:</h3>

When you square the binomial (a -b), you get ...

... (a -b)² = a² -2ab +b²

That is, both the a² and b² terms have positive signs, and the middle term is twice the product of the roots of the squared terms.

The last two selections have negative signs on the constant, so cannot be perfect square trinomials.

The first selection has a middle term that is -ab, not -2ab, so it is not a perfect square trinomial, either.

The second selection is the correct one:

... 4a² -20a +25 = (2a +5)²

4 0
3 years ago
Which choice shows the image of figure 1 being transformed with a translation of 8 units left followed by a rotation of 180° aro
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

the left picture

3 0
3 years ago
John earns $25 per hour as a part-time firefighter. If John works 30 hours per week, how much does he earn that week?
Tanzania [10]

Answer: $750

Step-by-step explanation:

So we know that he earns $25 per hour, and we want to know how much he earns if he worked for 30 hours which is a week.

25=1

?=30

then we can cross multiply which is

\frac{25(30)}{1}=750

so the answer is John earns $750 a week.

8 0
2 years ago
The diameter of a circle is 10 m. Find its circumference in terms of \piπ.
Evgesh-ka [11]

Answer:

31.42 m

Step-by-step explanation:

10* π= 31.415( which can round to 31.42)

6 0
3 years ago
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