factor the trinomial below.
4x^2+12x+9
a. (2x+3)(2x+3)
b. (4x+1)(x+9)
c. (2x+1)(2x+9)
d. (4x+3)(x+3)

Answer:

x = 14

y = 22

Step-by-step explanation:

y = x + 8

4x - 2y = -12

Solve

_____________

Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.

4x - 2(x + 8) = -12

Distribute :

4x - (2(x) + 2(8)) = -12

4x - 2x +16 = -12

Combine like terms :

2x + 16 = -12

Subtract 16 from both sides :

2x = -28

Divide 2 from both sides to get x alone :

x = 14

Now that we know what x is, substitute it in the first equation to get y :

y = (14) + 8

y = 22

Answer:

(2 , 10) or x = 2 & y = 10

Step-by-step explanation:

y = x + 8

4x – 2y = -12​

1. Substitute x + 8 in for the y in the other equation.

2. Solve for x

3. Take the solution for x and substitute the number in for the x in y = x + 8.

4. Solve for y.

5. Your answer is the result.

4x - 2(x + 8) = -12                       Distributive Property

4x - 2x - 16 = -12                        Combine like terms

2x - 16 = -12                               Isolate the x, so start by moving -16

    + 16   +16                              

2x + 0 = 4                                  Delete the 0. It is a place holder you don't need

      2x = 4                                 Isolate the x by dividing both terms by 2.

        2    2

        x = 2

y = x + 8                      Substitute the 2 in for x and solve the one step equation.

y = 2 + 8

y = 10

Answer:

The product means multiply

The second one: 5x=15

Step-by-step explanation:

Hope that helps!!!!!

Answer:

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the line

         [tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]

cross-multiplication, we get

       5y = 6x +4

The equation of the straight line is 6x - 5y +4=0

The equation of the perpendicular line to the given line is

                        b x - ay +k=0

The equation of the perpendicular line to the given line is   -5x-6y +k=0

This line passes through the point (-3,2)

    ⇒       - 5(-3) -6(2)+k=0

     ⇒       15 -12 +k=0

     ⇒              3 +k=0

       ⇒              k =-3

Step(ii):-

The equation of the perpendicular line is

                                  -5x-6y-3=0

                                  5x + 6y +3 =0

                                        6y = -5x-3

                                          [tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]

Final answer:-

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49

Answer:

3 minutes

Step-by-step explanation:

To find how many minutes it will take to play the whole song, multiply 1/5 by 15

15(1/5)

= 3

So, it will take 3 minutes to play the whole song

Answer:

Time taken to complete whole song

Let the time taken be x

Now,

x = 1/5 of 15

x = 15/5

x = 3 min

Step-by-step explanation:

[tex] \\ [/tex]

Answer:

x-y=4

and

x+y=32 is your equation

difference of two number =x-y is equal to 4

sum of two number=x+y is equal to 32

x-y=4.......(1)

x+y=32.......(2)

adding equation 1 and 2

x-y +x+y=4+32

2x=36

x=36/2=16answer

substituting value of y in equation 1

16-y=4

16-4=y

y=12 answer

Answer:

the 4 would equal 16

the 2 would equal 4

To get this you would have to multiply the number by the scale factor of 4

4(4)=16

2(4)=8

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

Hope this helps

Answer:

b is 125

Step-by-step explanation:

Answer: 1.25

Step-by-step explanation:

because it is

Answer:

Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

Answer:

43.98

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

first, multiply 3/4 and 5/8 into the () to get rid of them.

3/4x -3/4 = 5/4x -5/2

next, combine like terms

5/4x -3/4x = -3/4 +5/2

1/2x = -3/4 +10/4 = 7/4

divide both sides by 1/2

x= 7/2

Answer:

y= -2/3x +4

Step-by-step explanation:

(0,4) and (6,0)

m= (y2-y1)/(x2-x1)

m= (0-4)/(6-0)

m= -2/3

y-y1=m(x-x1)

y-4= -2/3(x-0)

y-4= -2/3x

y= -2/3x +4

Answer:

D

Step-by-step explanation:

Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.

Answer:

the fourth answer, hope this can help

Answer:

evidence based on experience and observation

Step-by-step explanation: 100%

Answer:

15 mph

Step-by-step explanation:

28mi=2  1/3

2   1/3 = 2 hrs 20min

110min

28/110=.254 mi per min

.25*60=15 mi per hrs

Answer:

what are we soposed to do?

Step-by-step explanation:

Answer:

25c^2-30cd

Step-by-step explanation:

The product of expression is,

⇒ 5c (5c - 6d)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5c - 3d)² - 9d²

Now, We can write the expression in form of product as;

⇒ (5c - 3d)² - 9d²

⇒ (5c - 3d)² - (3d)²

⇒ (5c - 3d - 3d) (5c - 3d + 3d)

⇒ (5c - 6d) (5c)

⇒ 5c (5c - 6d)

Thus, The product of expression is,

⇒ 5c (5c - 6d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

18ft x 20ft

Step-by-step explanation:

(I'm kinda in a rush so I can't explain right now, sorry!)

Hope that helped though :)

The actual dimensions of the house is 18 feet by 20 feet.

Scaling is used to either increase or decrease the size of a figure to create an image.

Given that a scale of 6cm to represent 12 ft. Hence:

9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.

10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.

The actual dimensions of the house is 18 feet by 20 feet.

Find out more on scaling at: https://brainly.com/question/25324744

Answer:

18:12

Step-by-step explanation:

30-18=12

18:12

Answer:

2.2314

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

1+1+4+5+5+5+6+7+7+10+10= 61

61÷11= 5.5-2.5= 2.2

Example:

Find the MAD of 2,4,6,8

Step 1 :

Find the mean of the data :

(2+4+6+8) / 4 = 20/4 = 5

Step 2 :

Find the distance between each data and mean.

Distance between 2 and 5 is 3

Distance between 4 and 5 is 1

Distance between 6 and 5 is 1

Distance between 8 and 5 is 3

Step 3 :

Add all the distances :

3+1+1+3 = 8

Step 4 :

Divide it by the number of data :

8 / 4 = 2

Solution :

It is given that the length of a side of a triangle is given by 'a'.

It is an equilateral triangle.

So the three sides will be of equal length and is a, a, a units.

Now the semi perimeter of the equilateral triangle is given by :

[tex]$S=\frac{a+a+a}{2}$[/tex]

  [tex]$=\frac{3}{2}a$[/tex]

Therefore, using the Heron's formula, we can find the area of the equilateral triangle.

Area of the equilateral triangle is given by :

[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]

[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]

[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.

Answer:

Area =0.41 units^2

Step-by-step explanation:

sin 26 degrees=height/1.53

height=.438371 x 1.53=0.67

Area =(1/2)(0.67)(1.22)=0.41 units^2

Answer:

C=12

Step-by-step explanation:

2x12=24

3x12=36

5x12=60

Answer:

See Below.

Step-by-step explanation:

Statements:                                                        Reasons:

[tex]1)\text{ }\angle AOD=180[/tex]                                                  Straight Angle Theorem

[tex]2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD[/tex]              Angle Addition    

[tex]3)\text{ } \angle AOB+\angle BOC+\angle COD=180[/tex]                   Substitution

[tex]\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC[/tex]                                          Given

[tex]\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD[/tex]                                          Given

[tex]\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180[/tex]              Substitution

[tex]\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180[/tex]       Substitution

[tex]\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180[/tex]              Multiplication

[tex]\displaystyle 9)\text{ } 2\angle COD=180[/tex]                                                 Addition

[tex]10)\text{ } \angle COD=90[/tex]                                                   Division Property of Equality

[tex]\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90[/tex]                                                Division Property of Equality

[tex]\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD[/tex]                                        Substitution

Answer:

this is your answer. good luck.

Answer:

83/100 x 180

Step-by-step explanation:

We have to find the cost of the ticket after the discount.

100% - 17%= 83%

83% of the total percentage of the original price that he needs to pay.

So we do:

83/100 x 180

So, this would be the expression.

Hope this helps!:)