determine if the givem binomial x-c is a factor of the given polynomial p(x)
[tex]p(x) = {x}^{4} - {x}^{3} + {x}^{2} + x - 1: x - 2[/tex]

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Point-slope form is: y - y1 = m ( x - x1 )

You plug in your slope for m and the x and y values from that point for x1 and y1.

    y - (-8) = -3/4 ( x - (-3) )

Be sure to clean up the "minus a negative" to get

    y + 8 = -3/4 ( x + 3 )

Explanation:

On taking LHS

Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]

We know that

π = 180°

2π = 2×180° = 360°

3π/2 = (3×180°)/2 = 540°/2 = 270°

Now

LHS becomes

Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]

We know that

Cos (270°+θ) = Sin θ

Cos (360°+θ) = Cos θ

Cot (270°-θ) = Tan θ

Cot (360°+θ) = Cot θ

→ Sin θ Cos θ [Tan θ + Cot θ]

→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]

→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]

→ Sin θ Cos θ [1/(Sin θ Cos θ)]

Since Sin²θ+Cos²θ = 1

→ (Sin θ Cos θ)/(Sin θ Cos θ)

→ 1

→ RHS

→ LHS = RHS

Hence, Proved.

Here are the formulae that I have used:

→ π = 180°

→ Cos (270°+θ) = Sin θ

→ Cos (360°+θ) = Cos θ

→ Cot (270°-θ) = Tan θ

→ Cot (360°+θ) = Cot θ

Here are the Trigonometric Identities that I have used:

→ Sin²θ+Cos²θ = 1

Hope this helps!!

Answer:

0.070

Step-by-step explanation:

i think

Answer:

17

Step-by-step explanation:

[tex]perimeter = 2(length + breadth) \\ breadth = (perimeter \div 2) - length[/tex]

[tex]72 \div 2 = 36 \\ 36 - 19 = 17[/tex]

Answer:

y is 17 mm

Step-by-step explanation:

perimeter formula is p= 2l +2w

19 is width

19+19 = 38

72-38=34

34/2= 17

17 is length

I hope it is right:)

Answer:

0.68 repeating as a fraction

0.68 repeating as a fraction

Answer: 65

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Let us assume that:

[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]

Squaring both sides, we get:

[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]

[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]

By splitting the middle term:

[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]

[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]

[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]

Therefore:

[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]

[tex] \sf \longmapsto x = - 2,3[/tex]

But x cannot be negative.

[tex] \sf \longmapsto x = 3[/tex]

Therefore, the value of the expression is 3.

[tex]\large\underline{\sf{Verification-}}[/tex]

Given:

[tex]\sf\longmapsto x=3[/tex]

We can also write it as:

[tex]\sf\longmapsto x = \sqrt{9}[/tex]

[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]

This pattern will continue.

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]

Answer:

5/6 inches

Step-by-step explanation:

An area of a square is basically length * width but the length and width are the same length so we can simply do the square root of (25/36)

5/6 is your final answer

Answer:

your answer i think is 2/3 sorry if i'm wrong

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4/5=16/20

4/3=4/3 or 1 1/3

3/7=0.42857

13/15=0.86666

Step-by-step explanation:

i dont know

if i did that right but your welcome

Answer:

Third Option: [tex]x=6[/tex] or [tex]x=-3[/tex]

Step-by-step explanation:

[tex]x^2+9x+18=0[/tex]

[tex](x+6)(x+3)=0[/tex]

[tex]x=6[/tex] or [tex]x=-3[/tex]

Answer:

If x=-1 then y= -3

If x=0 then y=1

If x=1 then y= 4

If x=2 then y= 7

Answer:

-3

Step-by-step explanation:

its very easy correct me if im wrong brainliest btw

Answer:

5k a month

Step-by-step explanation:

Answer:

-12×3 = -36.............

Answer:

The definition of "perfect square" is: "A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer." For example, 16 would be a perfect square because [tex]4^{2}[/tex] would equal 16. But 12 is not a perfect square because no number could multiply by itself to get 12. I hope this helps you! :)

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

In the first equation, it's H20 but the second is B

2Mg + 2O2

here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.

1. 2KClO3 → 2KCl + ?

2Na + Cl2 → ?

A.) 2NaCl

2. MgO + ? → Mg(OH)2

2MgO → ?

B.) 2Mg + O2

25.5

Step-by-step explanation:

The way to do this is:

80 * 3.14 equals to roughly 25.5

I must speak in your language

ddddwfdwfd qdqfqfqqdqdqdqddqdqdq

[tex]\\ \sf\longmapsto y=\dfrac{-1}{3}x+1[/tex]

Here let's compare with slope intercept form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

We get

y = mx + k

gradien = m

y=−1/3x+1

gradien = -1/3

btw, di indo jg ada gradien :)

Answer:

p=-9x+900

-9 -9

= -100

divide 900/9

or the answer is 100

Answer/Step-by-step explanation:

To find the absolute difference, we simply have to see by how much pounds the estimation was off.

The real measure was 152 pounds, the estimated weight was 150.

D = 152- 150 = 2 pounds.

For the percent of error, we divide the absolute difference (52) by the real value () and we'll get the % of error.  So,

%D = 52 / 152 = 0.0034, so 0.34%  

Answer:

standerd form

Step-by-step explanation:

because it have to be in standerd form