Factor the polynomial x^2+9x+8 using the pattern x^2+(a+b)x+ab=(x+a)(x+b)

Answer:

g(x) has the larger slope.

Step-by-step explanation:

f(x) = 4x + 2

- so its slope = 4.      ( from general form y = mx + c where m = slope).

The slope of g(x) = (3 - (-2) / (1 - 0)

= 5.

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

---------------------------------------

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

---------------------------------------

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

Answer:

The answer is B.

Step-by-step explanation:

Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!

Step-by-step explanation:

Answer:

Step-by-step explanation:

19°

The unknown angle be x

20:-

If unknown angle be x

[tex]\\ \sf\longmapsto x+76=180[/tex]

[tex]\\ \sf\longmapsto x=180-76[/tex]

[tex]\\ \sf\longmapsto x=104°[/tex]

Answer:

Vertex (5, 1)

Example of second point (4, 2)

Step-by-step explanation:

THe equation given is in vertex form so it will be easy to find the vertex

(x-5)^2+1

Vertex is at h,k and vertex form is y = a(x−h)^2 + k

x coordinate will be 5

y coordinate will be 1

vertex - (5, 1)

You can plot a second point by plugging in any number into the x or y

For example, if you set x to be 4,

(4-5)^2+1

1^2+1

1+1=2

Answer:

a. grade 1 oak 519 ft.   520

b. grade 2 oak 795 ft.   800

c. grade 1 pine 323 ft.    320

d. grade 2 pine 477 ft.     480

Answer:

hjk

Step-by-step explanation:

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2) +3x(6-y) -7xy

Distribute

xy -2x +18x-3xy -7xy

Combine like terms

-9xy+16x

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

Answer:

Step-by-step explanation:

I am not sure if you are asking for the graph of

√(x-16) that has a x intercept at (16,0)

or

√ x -16 that has a y intercept at (0, -16)

Answer:

The answer is "[tex]v = \frac{50b}{v} = 50 \times b[/tex]".

Step-by-step explanation:

A single bottle of supercharging includes the equivalent of 50 vitamins.

Number of vitamins v = Total number of vitamins

b = the number of bottles that were used

Because each bottle contains one vitamin, you should multiply this total number of bottles (b) by the total amount of vitamins (50 vitamins).

[tex]v = \frac{50b}{v} = 50 \times b[/tex] so, Both are the same.

Answer:

i just did it- here ya go

Step-by-step explanation:

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

Answer: 50%

Step-by-step explanation:

From the question, we're given the information that Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world and that it rises 450 ft over a horizontal distance of 1,000 ft.

Therefore, the percentage grade of this hill will be calculated as the height over the length and this will be:

= 450/1000 × 100

= 45%

= 0.45

= 0.5 to nearest tenth

= 50% to nearest tenth.

Look a view at this picture

Answer:

undefined, you cannot divide by zero

Step-by-step explanation:

answer =

=3a²-16ab+13b²

=3a²-(13+3)ab+13b²

=3a²-13ab-3ab+13b²

=a(3a-13b)-b(3a-b)

=(3a-13b)(a-b)

Answer:

even I got confused in question no. j

no worry rest all are solved .

all the questions are solved by middle term splitting method .

Answer:

Step-by-step explanation:

Consider straight line and complementary angle properties and use following equation:

Answer:

x=115 degrees

Step-by-step explanation:

Step-by-step explanation:

1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n

make the 3rd term an improper fraction

1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n

multiply equation by 30, cancel the denominators, resulting in:

6n + 6(51) = 6(152) - 5n

6n + 306 = 912 - 5n

6n + 5n = 912 - 306

11n = 606 is the number

n = 606/11

n = 55 1/11

Answer:

68

Step-by-step explanation:

let unknown number be x

⅕x + 5½= 30⅖ - ⅙x

⅕x + 11/2= 152/5 - ⅙x

collect like terms

⅕x+⅙x= 152/5 - 11/2

[tex] \frac{11}{30}x = \frac{249}{10} [/tex]

cross multiply

30 * 249=(11 * 10)x

7470=110x

x=7470/110

x= 68

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

Answer:

D

Step-by-step explanation:

for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio

sin60=opposite/hypotenuse

sin60=a/7√3

a=10.5

then after you have found the adjacent you can use the cos ratio

cos45=adjacent/hypotenuse

cos45=10.5/x

cos45x/cos45=10.5/cos45

x=14.849

which is the same as 21√2 over 2

I hope this helps

Answer:

D

Step-by-step explanation:

Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 21 ( divide both sides by 2 )

a = [tex]\frac{21}{2}[/tex]

Using the cosine ratio in the right side triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]

Answer:

Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky

Step-by-step explanation:

Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

Answer:

This is called system of equations.

Step-by-step explanation:

This combines two equations and then lines them up to a system.

Answer:

Step-by-step explanation:

  matrix

     or

vector geometry

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.

Learn more,

https://brainly.com/question/10824107

Answer:

No, because 6² + 8² ≠ 12²

Step-by-step explanation:

In a right angled triangle,

Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)

But in the given triangle; 6² + 8² ≠ 12²

36 + 64 ≠ 144

100 ≠ 144

Perpendicular² + base² ≠ hypotenuse²

Thus the given triangle is not right angled.

Answer:

16.8 or  16 whole 4/5

Step-by-step explanation:

14 divided by 5/6

take reciprocal

14 x 6/5

84/5

16.8