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3 years ago

8

Factor completely. y2+6y+8

2 answers:

zloy xaker [14]3 years ago

4 0

If you can't see the picture the answer is: (y+4)(y+2).

Hope this helps, and May the Force Be With You!
-Jabba

Stolb23 [73]3 years ago

4 0

Answer: The answer is $(y+4)(y+2).$

Step-by-step explanation: The given polynomial expression is

$E=y^2+6y+8.$

We are given to factor the above polynomial expression completely. For that we need to find two numbers with sum 6 and product 8.

The factorisation is as follows:

$E\\\\=y^2+6y+8\\\\=y^2+2y+4y+8\\\\=y(y+2)+4(y+2)\\\\=(y+4)(y+2).$ .

Hence, factorised.

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(b) E: A randomly selected person finding cheese revolting. F: A different randomly selected person finding cheese delicious.

Svet_ta [14]

Answer:

C

Step-by-step explanation:

b) option C

C.E cannot affect F and vice versa because the people were randomly selected, so the events are independent.

because randomly selected events are mutually exclusive events.

4 0

3 years ago

Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

(c) $\overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}$

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

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4 years ago

What is the equation of the line that contains the points<br> (-5,0) and (0,6) ?

xeze [42]

Answer:

y=6/5+6

Step-by-step explanation:

3 0

3 years ago

3.8,3.789,3,3 41/50 from greastest to least

9966 [12]

3 3.789 3.8 3 41/50
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3 years ago

How do you simplify sin2x=cosx

torisob [31]

sin(2x) = cos(x)
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sin⁻¹[sin(x)] = sin⁻¹(¹/₂) Use sin⁻¹(x) on each side.
x = 30, 150 Find the answer.

4 0

3 years ago