What is the complete factorization of x2 + 4x − 45?

Answer:

Step-by-step explanation:

Tangents from the point outside the circle are equal.

x + 7 = 13 +8

x + 7 = 21      {Subtract 7 from both sides}

     x = 21 - 7

x  = 14

Answer:

Answer:

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 6 units

Angle of one unshaded area = 160'

Find:

Sum of the areas of two  shaded regions

Computation:

Angle of one shaded area = 180' - 160'

Angle of one unshaded area = 20'

Sum of the areas of two  shaded regions = 2[θ/360][πr²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(6)²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = [0.888][113.04]

Sum of the areas of two  shaded regions = 100.46

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Answer:

x = - [tex]\frac{47}{2}[/tex]

Step-by-step explanation:

Given

- 11 + 9 = 2x + 45 , that is

- 2 = 2x + 45 ( subtract 45 from both sides )

- 47 = 2x ( divide both sides by 2 )

- [tex]\frac{47}{2}[/tex] = x

Answer:

31

Step-by-step explanation:

1)32−3+14/7

2)29+14/7

3)29+2

4) 31

Answer:

I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!

Answer:

Edward spent Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y on chocolate.

Step-by-step explanation:

Initial amount with Edward = Rs 4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y

The cost of a packet of chips = Rs 2[tex]x^{2}[/tex] + y

By assuming that Edward spent all his money at the market, and on both chips and chocolate. Then;

Amount spent on chocolate = Initial amount with Edward - cost of a packet of chips

                           = (Rs 4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y) - (Rs 2[tex]x^{2}[/tex] + y)

                           = Rs (4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y - 2[tex]x^{2}[/tex] - y)

                           = Rs (4[tex]x^{2}[/tex]  - 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y - y)

                           = Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y

Amount spent on chocolate = Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y

Therefore, Edward spent Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y on chocolate.

Answer:

D.64

Step-by-step explanation:

im not slow itz simple 2 to the power of 6

Answer:

Step-by-step explanation:

Dividing :  6x2-x+12  

                             ("Dividend")

By         :    2x-3    ("Divisor")

dividend     6x2  -  x  +  12  

- divisor  * 3x1     6x2  -  9x      

remainder         8x  +  12  

- divisor  * 4x0         8x  -  12  

remainder             24  

Quotient :  3x+4  

Remainder :  24

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

[tex]1)Divide \ (6x^2 + x -12) \ by \ (2x + 3)[/tex]

     [tex]6x^2 + x -12 = 6x^2 + 9x - 8x -12[/tex]

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

 [tex]\frac{6x^2 + x -12}{2x + 3} = \frac{(3x -4)(2x+3)}{(2x+3)} = (3x -4)[/tex]

Answer:

The initial value is the beginning output value, or the y-value when x = 0.

Answer:

f(0) = g(0)

Step-by-step explanation:

The functions intersect at x =0, which means they have the same y value at x=0

f(0) = g(0)

Answer:

above the quadrant choose the numbers 5 and 4pi then multiply them by 3 to get your answer

Step-by-step explanation:

Answer:

x = 2.5

Step-by-step explanation:

We know the adjacent and the opposite sides to the angle in a right triangle

tan theta = opp / adj

tan 26 = 1.2 /x

x tan 26 = 1.2

x = 1.2 / tan 26

x =2.46036461

Rounding to the nearest tenth

x = 2.5

tan tita = opp/adj

tan 26°=1.2/x

x=1.2/tan 26

x=2.46

x=2.5

Step-by-step explanation:

try use ruler for AB , AC , & BC ,

then find the area of

Answer:

option C

Step-by-step explanation:

18x^2 - 6x

take common

6x(3x^2 - 1)

here 6x is greatest common factor of the polynomial

Answer:

c the greatest common factor

Answer:

here u go

Step-by-step explanation:

what i did was 15*7 which is 105

and then i did 105/2 which is 52.5 ft

Answer:

V = 1237 cubic feet

Step-by-step explanation:

V of cylinder = πr^2h

r = 7.5 ft (15/2)

h = 7 ft

v = ((7.5)^2)π*7 = 1237.002107 cubic feet

Answer:

The 4th one

Step-by-step explanation:

The number are times -4

-3 x -4 = 12

-6 x -4 = 24

-9 x -4 = 36

So, the answer is the 4th one

Answer:

A

Step-by-step explanation:

The domain of the function graphed below is set of all numbers less than 7 or x<7.

The domain of a function f(x) is the set of points(representing independent variable x) to define the function.

In the shown graph of the function,

The given function is defined everywhere except 7 and greater than 7.

So, the domain of the function is x<7.

Hence, the  domain of the function graphed below is set of all numbers less than 7 or x<7.

To get more about domain visit:

https://brainly.com/question/26098895

Answer:

There will be 20 trumpet players in the band this year.

Answer:

y = -2/3x + 4

Step-by-step explanation:

first we take the original equation and convert it to y=mx+b (a form we know how to graph)

that gives us y = 3/2x + 2

(Here's my work for that):

6y - 9x = 12; add 9x on both sides

6y = 9x + 12; divide 6 on both sides

y = 9/6x + 12/6

y = 3/2x + 2

next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)

then we just uh graph that slope and try to find the y intercept. i did it already and i got 4

Answer:

Step-by-step explanation:

You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.

Add 9x to both sides.

6y - 9x + 9x = 9x + 12

6y = 9x + 12                   Divide by 6

6y/6 = 9x/6 + 12/6

y = 1.5x + 2

Now the perpendicular line must have a slope that is found by using

m1 * m2 = - 1

m1 = 1.5             From the equation above.

1.5 * m2 = - 1     Divide by 1.5

m2 = -1/1.5

m2 = - 2/3

So far what you have is

y = -2/3 x + b                  You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do

The complete equation becomes

y = -2/3 x + 1

The graph is enclosed.

Answer:

6

Step-by-step explanation:

A = 4 cm * 3 cm/2

A = 6 cm^2

Answer:

6

Step-by-step explanation:

Answer: 22 pints of water

Step-by-step explanation:

Runelle collected river water and poured in eight jars such that each jar had 2³/₄ of water.

The total amount of water collected by Runelle from the river will therefore be the sum of all the water in the 8 jars and because they are the same, we can simply multiply the quantity in one jar by 8 to see the sum:

= Amount of water in one jar * 8 jars

= 2³/₄  * 8

= 11/4 * 8

= 22 pints of water

Answer:

C f=9

Step-by-step explanation:

isolate f on one side so you subtract 5 from both sides to get 3f=27 and then divide by 3 on each side to get f=9

Answer:

The value of F is 9

Step-by-step explanation:

3f+5=32

3f=32-5

3f=27

f=27/3

f=9

Answer:

$28

Step-by-step explanation:

cp=20

mp=20%ofcp

=20/100*20

=8

now,

sp=mp+cp

=8+20

=28