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liraira [26]
2 years ago
11

25 POINTS! factor the trinomial:

lign="absmiddle" class="latex-formula">
Mathematics
2 answers:
riadik2000 [5.3K]2 years ago
8 0

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

allochka39001 [22]2 years ago
3 0

_____________ (x-1+i)(x-1-i)

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Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.
lara31 [8.8K]

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

8 0
2 years ago
Read 2 more answers
Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below. (0, -2) and
BaLLatris [955]

Answer:

y = -(5/2)x -2

Explanation:

The general formula for a straight line is y – mx + b.

The image below shows the graph of the line.

Step 1. <em>Calculate the slope</em>.

Slope = m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

x₁ = 0; y₁ = -2

x₂ = -2; y₂ = 3     Calculate m

m = [3-(-2)]/(-2-0)

m = (3+2)/(-2)

m = 5/(-2)

m = -5/2

Step 2. <em>Calculate the y-intercept </em>

When x = 0, y = 2.

The y-intercept (b) is at y = -2

Step 3. <em>Write the equation </em>for the graph

y = mx + b

y = -(5/2)x - 2

3 0
2 years ago
Read 2 more answers
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
insens350 [35]

(2y² + 7y + 11) - (8y² - 5y + 7) you can distribute the negative sign to the second expression and then combine the like terms

new expression: (2y² + 7y + 11) (-8y² + 5y - 7)

2y² and -8y² equals -6y²

7y and 5y equals 12y

11 and -7 equals 4

The answer is -6y² + 12y + 4

5 0
3 years ago
Create an equivalent system of these equations and test your solution <br> x + y = 1<br> x 3y =9
ad-work [718]
An equvilent equation
remember you can do anything to an equation as long asyou do it to both sides


assuming yo have
x+y=1 and
x-3y=9
mulitply both by 2
2x+2y=2
2x-6y=18
those are equvilent



ok, solve initial

x+y=1
x-3y=9
multiply first equation by -1 and add to 2nd equation


-x-y=-1
<u>x-3y=9 +</u>
0x-4y=8

-4y=8
divide both sides by -4
y=-2

sub back
x+y=1
x-2=1
add 2
x=3


x=3
y=-2
(3,-2)

if we test it in other one

2x+2y=2
2(3)+2(-2)=2
6-4=2
2=2
yep

2x-6y=18
2(3)-6(-2)=18
6+12=18
18=18
yep


solution is (3,-2)
4 0
3 years ago
Read 2 more answers
A circle has a circumference of 907.46.<br> What is the diameter of the circle?
Anna007 [38]

\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ C=907.46 \end{cases}\implies 907.46=\pi d\implies \cfrac{907.46}{\pi }=d \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 288.85\approx d~\hfill

7 0
3 years ago
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