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77julia77 [94]
3 years ago
11

Help ASAP. Identify at least two ordered pairs to the solutions of the system

Mathematics
1 answer:
Kitty [74]3 years ago
5 0

Answer:

The answer to number one is 3 and the answer is to number 4 is

Step-by-step explanation:

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Simplfy the expression: (x - 9)^2
deff fn [24]
The answer would be x^2-18x+81. This can be found be writing "(x-9)^2" twice, and distributing. Combine like terms, and you should get this answer.
6 0
3 years ago
Simplify (Are all division)<br><br>2+4i<br>3i<br><br>3+2i<br>4+i<br><br>2i^11
Alla [95]

We\ know:\ i=\sqrt{-1}\to i^2=-1

\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i

\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i

2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i


Used:\ (a+b)(a-b)=a^2-b^2

6 0
3 years ago
The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr
GarryVolchara [31]

Answer:

\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height

Given:

  • area = 18 cm²
  • base = 6 cm
  • height = (h + 1) cm

Substitute the given values into the equation and solve for h:

\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)

\sf \implies 18 = \sf \dfrac62 (h+1)

\sf \implies 18 =3(h+1)

expand using distributive property of addition a(b+c)=ab+ac:

\sf \implies 18=3h+3

subtract 3 from both sides:

\sf \implies 3h=15

divide both sides by 3:

\sf \implies h=5

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

3 0
2 years ago
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Is this the correct answer?
Scorpion4ik [409]

Answer:

Yes

Step-by-step explanation:

5 0
2 years ago
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Solve the one step inequality <br>x+15&lt;62​
larisa [96]

Answer:

x<47

Step-by-step explanation:

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