Write an equation in point-slope form for the line through the given point with the given slope.
3
(4, -6); m =

Answer:

[tex]6x^{2} -14x+3xy-7y[/tex]

Step-by-step explanation:

I used the FOIL method, hope this helps

Step-by-step explanation:

tan y = opposite/adjacent

so, tan 52° = 20/x

Answer:

tan(52) = 20/x

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(52) = 20/x

Answer:

$19.15

Step-by-step explanation:

$1=0.626

$1/0.626=£1

$11.99=$11.99/0.626

=$19.15

Answer:

Step-by-step explanation:

 £ 0.626  =$ 1

£1 = $ [tex]\frac{1}{0.625}[/tex]

£ 11.99 = [tex]11.99*\frac{1}{0.625}= \frac{11.99*1000}{0.625*1000}\\\\[/tex]

           [tex]= \frac{11990}{626}\\\\[/tex]

          = $ 19.15

19.15 - 16.95 = $2.2

Jane pays $2.20  more dollars that George

Answer:

4x( x^3 +3x+2)

Step-by-step explanation:

4x^4 + 12x^2 + 8x

Factor out 4x

4x( x^3 +3x+2)

Answer:

Step-by-step explanation:

B = {p , q , r}

Number of subsets = [tex]2^{n}[/tex]

Her, n  is the number of elements in the set.

Number of subsets = 2³ = 8

Answer:

Sorry I don't know the answer

9514 1404 393

Answer:

  169 ft

Step-by-step explanation:

The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...

  c² = a² +b² -2ab·cos(C)

Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...

  c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84

The outfielder throws the ball about 169 feet.

Answer:

Step-by-step explanation:

g(x) = 3f(-2x)

     = 3*([-2x)² + (-2x) - 2)

    = 3 (4x² - 2x - 2)

   =   3 * (4x² - 4x  +2x - 2)        {Rewrite the middle term}

  = 3 *[ 4x(x - 1) + 2(x - 1)]

 = 3* [ (x -1) *(4x + 2)]

 = 3(x - 1)(4x + 2)

x - 1 = 0    ;   4x + 2 = 0

x = 1         ;      4x   = -2

                        x = [tex]\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

Roots:   x = 1 , (-1/2)

Answer:

We know that the equation of the circle in standard form is equal to (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process "completing the square".

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

Answer:

A. positive skewed.

Step-by-step explanation:

because the values on left hand side are a bit greater than values on the right hand side.

[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]

[tex]x - 12 = 14 \\ x = 14 + 12 \\ x = 26[/tex]

it was help to you ❤︎❤︎❣︎❣︎★★★

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{x - 12 = 14}[/tex]

[tex]\huge\text{ADD 12 to BOTH SIDES}[/tex]

[tex]\huge\textsf{x - 12 + 12 = 14 + 12}[/tex]

[tex]\huge\boxed{\bullet}\huge\text{ CANCEL out: 12 - 12 because it gives}\\\huge\text{you 0}[/tex]

[tex]\huge\boxed{\bullet}\huge\text{ KEEP: 14 + 12 because it gives you}\\\huge\text{the RESULT of the x-value}[/tex]

[tex]\huge\textsf{a = 14 + 12}\\\huge\boxed{\rightarrow}\huge\textsf{ 14 + 12 = a}[/tex]

[tex]\huge\textsf{14 + 12 = \bf 26}[/tex]

[tex]\boxed{\huge\textsf{Therefore, your answer is: a = 26}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

- [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{7}{10}[/tex] ÷ [tex]\frac{2}{5}[/tex]

Leave the first fraction

Change division to multiplication

Turn the second fraction upside down

= - [tex]\frac{7}{10}[/tex] × [tex]\frac{5}{2}[/tex] ← cancel 5 and 10 by 5

= - [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{2}[/tex]

= - [tex]\frac{7(1)}{2(2)}[/tex]

= - [tex]\frac{7}{4}[/tex]

Answer:

2552cm^2

Step-by-step explanation:

C.S.A=1320cm^2 ;r=?

h=15cm.

[C.S.A. = 2πrh]

(r=1320×7/660=14cm)

Now,

TSA of cylinder = 2πr (h + r) sq

TSA=2×22/7(15+14)=2552cm^2

Answer:

We know he spent 5 sixths which is 50 minutes

Ten percent of 50 is 5

This means he spent 3 quarters of an hour in the office

Answer:

Sam spent 50 minutes at the office, and 1/10 (or 5 minutes) in the waiting room.

So, he spent 3/4 of an hour at the office but not in the waiting room.

Let me know if this helps!

Answer:

29.

Step-by-step explanation:

We know that all functions of any angle must add up to be 180 degrees. using this knowledge we take 54 and subtract it by 180.

That leaves us with 126.

We can safely assume the measurement of angle B, using the angle measured as 97.

This is due to the law of corresponding angles.

97 and angle B; correspond, so they must measure the same.

our sum of 126 subtracted by angle B (97) leaves us with the sum of 29.

We can write -

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that -

{ 1 } -

We can write the slope of the line as -

m = 3

The equation will be -

y = 3x + c

For the point (2, 8), we can write -

8 = 6 + c

c = 2

So, the equation of line that passes through the point (2,8) and is parallel to y=3x+10 is -

y = 3x + 2

{ 2 } -

We can write the slope of the line as -

m = -1/2

The equation will be -

y = -x/2 + c

For the point (- 2, - 5), we can write -

-5 = -2 + c

c = - 3

So, the equation of line that passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 is -

y = -x/2 + -3

Therefore, we can write -

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9514 1404 393

Answer:

  (B)  Negative

Step-by-step explanation:

You can try an example:

  c = 1, d = -1

  c/d = 1/-1 = -1 . . . . negative

_____

Additional comment

The sign of the result of multiplication and/or division of any number of factors will be negative if there are an odd number of minus signs involved. It will be positive if there are an even number of minus signs involved.

Answer:

See the diagram below:

                             Red  3/8  -----------------> Red-Red  = 4/9*3/8 = 1/6

Red 4/9            <

                            Orange 5/8 --------------> Red-Orange = 4/9*5/8 = 5/18

                            Red 4/8 --------------------> Orange-Red = 5/9*4/8 = 5/18

Orange 5/9      <

                           Orange 4/8 ----------------> Orange-Orange = 5/9*4/8 = 5/18

Answer:

-1/3

Step-by-step explanation:

slope = m = rise/run = (difference in y)/(difference in x)

m = (4 - 2/(-3 - 3)

m = 2/(-6)

m = -1/3

Answer 8

8+8²=72

8+64=72

72=72

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Answer:

2.5L of 10% salt solution and 7.5L of the 30% salt solution

Step-by-step explanation:

let the amount of L in the 10% solution be 'x'

let the amount of L in the 30% solution be '10-x'

* because they add up to a total of 10L

10%(x) + 30%(10-x) = 25%(10)

0.1x + 3 - 0.3x = 2.5

-0.2x = -0.5

x = 2.5

x =2.5

10-x = 7.5

2.5 of 10% solution and 7.5% of 30% solution

Answer:

5

Step-by-step explanation:

m + p - p^2 ÷ 6

Let m = 5 and p=6

5 + 6 - 6^2 ÷ 6

Exponents first

5 + 6 - 36 ÷ 6

Then divide

5 + 6 - 6

Then add and subtract from left to right

11-6

5

Answer:

x=40

Step-by-step explanation:

If the large angle is bisected, the two smaller angles are equal

x+30 = 3x-50

Subtract x from each side

x+30 -x = 3x-50-x

30 = 2x-50

Add 50 to each side

30+50 = 2x-50+50

80 =2x

Divide by 2

80/2 = 2x/2

40 =x

Answer:

x = 40

Step-by-step explanation:

since line KN bisects that angle, the two parts are equal to each other:

(x+30) = (3x-50)

x + 30 = 3x - 50

-2x = -80

x = 40

you can even check it to see if both angles are equal to each other by substituting 40 for x:

(40 + 30) = (3*40 - 50)

70 = 70

this checks out, so the answer is correct

Answer:

x + 14.7

Step-by-step explanation:

x + 6.2 + 8.5.

Combine like terms

x + 14.7

Answer:

HF = 11.0

Step-by-step explanation:

We can use a ratio to solve

ED        EC

----- = ----------

HG       HF

23       36

----- = ----------

7         HF

Using cross products

23 HF = 36*7

23 HF = 252

Divide by 23

HF = 252/23

HF =10.95652

To the nearest tenth

HF = 11.0

From The picture 2 barrels = 73 gallons

Divide by 2 for gallons per barrel:

73/2 = 36.5 gallons per barrel

Multiply gallons per barrel barrels:

36.5 x 0.045 = 1.6425 gallons.

Rounded to 2 decimals = 1.64

Answer:

your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is

Step-by-step explanation:

ydu is not working in the past two days in my head of my head to be in town on your phone is to

Material of 32 feet with the person is not sufficient to cover the square garden.

Tristan wants to build a square garden having area = 75 square feet

Since, Area of a square is given by the expression,

Area = (Side)²

By substituting the value of area in the expression,

75 = (Side)²

√75 = √(Side)²

5√3 = Side

Side = 8.66 feet

Since, perimeter of a square is given by the expression,

Perimeter of a square = 4(side)

Therefore, Perimeter of the square garden = 4(8.66)

                                                                        = 34.64 feet

A person has a material of length = 32 feet

If the length of the material is enough to cover the square field,

Length of the material ≥ Perimeter of the garden  

32 feet ≥ 34.64 feet

Which is false.

      Therefore, material is not of enough length to cover the square garden.

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Answer:

D. y = cos(4x)

Step-by-step explanation:

The graph passes through the points y = 0 and x = 3π/8

So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.

Answer:

8x^2 - 4x - 5

See the steps below for better explanation:

Answer:

[tex]\sqrt{48}[/tex]

all the other are RATIONAL ( can be expressed as a fraction)

Step-by-step explanation:

While other numbers in the option given are rational, only √48 is an irrational number

Rational number refers to all real numbers which can be expressed in the form x/y. Given that y ≠ 0.

Evaluating the values given :

Therefore, the only √48 does not belong to the group.

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