What is the slope of a line perpendicular to the line whose equation is
12x + 2y = –12. Fully reduce your answer.

Answer:

2

Step-by-step explanation:

4/2=2

Answer:

A

Step-by-step explanation:

(8x + 4) = (10x-6)

If you solve this you find x = 5, plug that into one and you get 44 degrees

Answer:

The equation of the line perpendicular to AC and passing through point B is y = -x + 4

Step-by-step explanation:

We start by finding the slope and equation of line AC

The equation of a straight line can be given as;

y = mx + c

where m is the slope and c is the y-intercept

Mathematically, the slope is given as;

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

m = (7-2)/(2-(-3)) = 5/5 = 1

So the equation becomes ;

y = x + c

We only need the slope since we are trying to get another line perpendicular to this

If two lines are perpendicular, then the product of the slopes of both lines is equal to -1

This means that m1 * m2 = -1

So this means that the slope of the perpendicular line is -1/1 = -1

Thus, the equation of the line we are finding would be;

y = -x + c

since it passes through line B, we can make a substitution of the coordinates of point B

That would be;

7 = -(-3) + c

7 = 3 + c

c = 7-3

c = 4

So the equation of that line is;

y = -x + 4 or simply y = 4-x

Answer:

The discount is $270

The new price would be $1,530

Step-by-step explanation:

You just multiply 1800 times 0.15 to get how much the discount would be and then if you are trying to find the new price you would subtract the discount or multiply 1800 times 0.85 because 100-15 is 85.

Answer:

4x-12=8x+12

-24=4x

-6=x

Step-by-step explanation:

put the variables to one side and numbers to the other side

then divide 4 from each side

now you have the answer

Answer: -9

Step-by-step explanation:

To solve the equation, isolate the variable, then use basic arithmetic.

Subtract 4x on both sides to obtain the equation:

-12 = 4x + 24

Subtract 24 on both sides to isolate 4x, and obtain the equation:

-36 = 4x

Finally, divide both sides by 4 to obtain the following:

-9 = x

combine like terms

-6<-1x

divide by negative 1 on both sides

flip the sign when dividing by a negative number

6>x is the answer.

Answer:

[tex]\boxed { x < 6}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]-6 < 3x - 4x[/tex]

-Combine like terms:

[tex]-6 < 3x - 4x[/tex]

[tex]-6 < -x[/tex]

-Switch sides:

[tex]-6 < -x[/tex]

[tex]-x > -6[/tex]

-When you are dividing an integer by a negative integer, then the inequality sign would change. So, to get the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} > \frac{-6}{-x}[/tex]

[tex]\boxed { x < 6}[/tex]

Answer:

[tex]d=4[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-5-(-5))^2+(6-2)^2}[/tex]

[tex]d=\sqrt{(-5+5)^2+(4)^2}[/tex]

[tex]d=\sqrt{(0)^2+16}[/tex]

[tex]d=\sqrt{0+16}[/tex]

[tex]d=\sqrt{16}[/tex]

[tex]d=4[/tex]

Answer:

7.267  ×  10  (exponent − 4)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

7.267 X [tex]10^{-4}[/tex]

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The length is 12 + 2x  and the width is 10 + 2x

A = l*w

360 = ( 12+2x) ( 10+2x)

FOIL

360 = 120 + 24x+20x + 4x^2

Combine like terms

360 = 4x^2 +44x+120

Subtract 360 from each side

0 = 4x^2 +44x +120-360

0 = 4x^2+ 44x -240

For fun, lets solve

0 = 4( x^2 + 11x - 60)

0 = 4( x+15) ( x-4)

  Using the zero product property

x= -15  x=4

Since we cannot have negative length

x=4 ft

Answer:

[tex]x^2+11x-60=0[/tex]

Step-by-step explanation:

Refer to the drawing.

We know that the area enclosed by the fence is 360 square feet. Remember that the area for a rectangle is given by the following formula:

[tex]A=bh[/tex]

So, let's substitute 360 for A, (12+2x) for b, and (10+2x) for h. This yields:

[tex]360=(12+2x)(10+2x)[/tex]

We can simplify this. On the right, factor out a 2 from the first term and a 2 from the second. This yields:

[tex]360=2(6+x)\cdot2(5+x)[/tex]

Multiply:

[tex]360=4(x+6)(x+5)[/tex]

Divide both sides by 4:

[tex]90=(x+6)(x+5)[/tex]

Multiply on the right:

[tex]90=x^2+6x+5x+30[/tex]

Add on the right:

[tex]90=x^2+11x+30[/tex]

Subtract 90 from both sides. So, our equation is:

[tex]x^2+11x-60=0[/tex]

And we're done!

Answer:

4 snack

Step-by-step explanation:

12 - 5 = 4

Answer:

B.

Step-by-step explanation:

I chose B because goes through zero. Sorry if it wrong.

Answer: c

Step-by-step explanation:

just say your welcome

Answer:

31 degrees

Step-by-step explanation:

149 + 149 = 298

360 - 298 = 62

62 / 2 =31

Answer:

61 degrees

Step-by-step explanation:

you know that there is a strait line which is equal to 180. So if you subtract 149 from 180 you get 31 which is the angle included with x. therefore you subtract your total number, which is 92 by 31 and you get 61 degrees

Answer:

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

7x – 5(х + 8) = 5х – 28

7x - 5x + (-40) = 5x - 28

   + 5x         + 5x

 7x + (-40) = 10x - 28

- 7x             -  7x

-40 = 3x - 28

+ 28       + 28

-12 = 3x

Then divide.

-4

Answer:

Step-by-step explanation:

1) 35 = 5 * 7

  14 = 2 * 7

LCM = 2 * 5 * 7 = 70

2)  15 = 3 * 5

    12 = 2 * 2 * 3

LCM = 2* 2 * 3 * 5 = 60

3) 5 = 5

    9 = 3 * 3

  15 = 3 * 5

LCM = 3*3 * 5 = 45

4)8 = 2 * 2 * 2 = 2³

  10 = 2 *5

   12 = 2 * 2 *3 = 2² * 3

LCM = 2³ * 3 * 5 = 120

Answer:

A short-term lease

Step-by-step explanation:

Answer:

A 6 month lease. NOT a yearly lease.

Answer:

16

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

8/2(2 + 2)

Step 2: Evaluate

Answer:

5700

Step-by-step explanation:

Answer:

5700

Step-by-step explanation:

Answer:nbdbndndndnd

Bsbsnsndndnsh

Step-by-step explanation:

Dnndbdndnndndndnnd

Answer: $511.73

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

Answer:  n = -3

.........................

Answer:

9,000

Step-by-step explanation:

the 9 is in the thousands place

( just turn every digit after it into a 0)

The value of 9 in the number, 139648, is 9000.

The value of each digit in a number is known as the place value. Depending on where it is in a number, it describes each digit's value.

The given number is 139648.

Note that the position of 9 is at thousands place, therefore, the value of 9 in this number is 9000.

Hence, the value of 9 in the number, 139648, is 9000.

Learn more about the place value:

https://brainly.com/question/27734142

#SPJ2

Answer:

4

Step-by-step explanation:

it would equal 2^7/2^5, which equals 2², which equals 4

Answer:

Step-by-step explanation:

The consecutive integers are increasing by 1

n ← the smallest integer

n+1 ← the middle integer

n+1+1 = n+2   ← the largest integer

The sum:

S = n + n+1 + n+2

S = 3n + 3

Answer:

False

Step-by-step explanation:

A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.

Answer:

A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: Reform

Step-by-step explanation:

Reform means make changes in order to improve it.

Answer:

50 students were in each bus.

Step-by-step explanation:

We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.

Answer:

20 cans

Step-by-step explanation:

Divide $21 by $1.05 and you get 20.

Answer:

60 cans of soda

Step-by-step explanation:

3 cans of soda for $1.05

$21 = ? cans of soda

21  / 1.05 = 20

so if 20 $1.05's fit in $21 then how many cans fit in $21

20 x 3 = 60

you can buy 60 cans of soda with $21

Answer:

x=2.7

Step-by-step explanation:

21x=57

21x/21=57/21

x=2.7

Answer:15

Step-by-step explanation: