Find the slope of the line passing through the points (-6, 1) and (-7,5).

The factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

The polynomial function is given as:

[tex]P(x) = x^3 + 4x^2 - 9x - 36[/tex]

Factorize the given expression.

[tex]P(x) = x^2(x + 4) - 9(x +4)[/tex]

Factor out x + 4

[tex]P(x) = (x^2 - 9)(x +4)[/tex]

Express 9 as the square of 3

[tex]P(x) = (x^2 - 3^2)(x +4)[/tex]

Apply the difference of two squares

[tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Hence, the factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Read more about factorization at:

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Answer:

Step-by-step explanation:

The 22 degree angle is opposite to the 10 m side of the right triangle.

We need to find the length x of the hypotenuse.

Use trigonometry:

Answer:

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is

10 meters high, how long does the wire connecting the anchor to the pole must be?

(Round answer to the 1st decimal place.)

Answer :

4x-ay=15

Step-by-step explanation:

Answer:

4 ounces

Step-by-step explanation:

6c = 24

c = 4

Answer: Noah can use 4 ounces per sandwich

an equation is c=24/6

Step-by-step explanation:

From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.

The residence of Santa Clause is popularly known as the North Pole.

According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km

Learn more about London in: https://brainly.com/question/7416097

Answer:

Step-by-step explanation:

68 1/4

The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Assume the distance covered before their first stop for gas be 'x'

Total distance travelled is 381  miles

We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is

x + 3x + 58 3/4  = 381

4x + 58 3/4  = 381

x=68 1/4 in mixed fraction

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Answer:

32 degrees

a triangle is = to 180 degrees

Answer:

Answer: 855

Step-by-step explanation:

I take it you want the total number of fruit? You should state the question. I will assume I am correct.

So 25% of 60 baskets = 25/100 * 60 = 15 baskets.

Each basic contains 12 pieces of fruits                     12 * 15 = 180

And 75% of 60 baskets = 0.75 * 60 = 45 baskets.

Each contains 15 pieces                                            45 * 15 = 675

The total number of fruit in all is                                              855

Answer:

X = -2

Step-by-step explanation:

3x - 8/2 = x - 6

3x - 8 = x - 6 × 2

3x - 8 = x - 12

3x - x = -12 + 8

2x = -4

X = -4/2

X = -2

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Answer:

40

Step-by-step explanation:

64 female

ratio of men to women is 5:8

5x:8x

where 8x = 64

so x = 8

5(8):8(8)

40:64

So there are 40 men.

Answer:

(-3, 5.5)

Step-by-step explanation:

To find the midpoint, you add up the corresponding coordinates (x with x and y with y) and divide each by 2.

(-7+1)/2 = -3

(8+3)/2 = 5.5

Answer:

(-3,5.5)

Step-by-step explanation:

(-7,8)

(1,3)

(-7+1)/2,(8+3)/2

-3,5.5

Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

Answer:

A.32

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

me big brain

Answer:

x=2

Step-by-step explanation:

6x+3+2x+1+4x=12x+4

5x+5x+3x+2=13x+2

12x+4=13x+2

4-2=13x-12x

2=x

Work Shown:

2 cm : 50 miles

3*(2 cm) : 3*(50 miles)

6 cm : 150 miles

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

Answer:

suma is 229,997

Step-by-step explanation:

229,997

Answer:

yes, this line will pass through the point of origin

Step-by-step explanation:

Answer:

y = 5x + 2

Step-by-step explanation:

Given the equation 5x + 2

Plug in 0

y = 5(0) + 2

y = 2

(0,2)

Given the equation 5x + 2

Plug in 1

y = 5(1) + 2

y = 7

(1,7)

Answer:

10,9

Step-by-step explanation:

On the coordinate plane you see that the point A has to go 6 to the right and 3 up. So the ratio is: for every 2 side, there is one up. Point A does this 3 times to get to M so do three times. 6 to the right and 3 up and B is on 10,9.

Answer:

Let y=ax^2+bx+c be the equation of the parabola. Set up equations.

Using (0,5). 5=a(0)2+b(0)+c

5

=

a

(

0

)

2

+

b

(

0

)

+

c

Using (2,15), 15=a(2)2+b(2)+5

15

=

a

(

2

)

2

+

b

(

2

)

+

5

4a+2b=10

2a+b=5

Using (4,9)

9=a(4)2+b(4)+5

9

=

a

(

4

)

2

+

b

(

4

)

+

5

16a+4b=4

4a+b=1

Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4

a=-2

Solve for b using (1): 2(-2)+b=5

-4+b=5

b=9

So, the equation is y=−2x2+9x+5

Step-by-step explanation:

Answer:

A

[tex]^{}[/tex]

Answer:

15x^3-70x^2+65x+30

Step-by-step explanation:

1) 5(3x+1)= (15x+5)

2) (15x+5)(x-2)=15x^2-25x-10

3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30

Answer:

90 feet

1080 inches

Step-by-step explanation:

I hope it helps you!