Write an equation of the line that passes through the points. Use the slope-intercept form (if possible). If not possible, explain why and use the general form. Use a graphing utility to graph the line (if possible).

Answer:

9) x=58

10) r=4

11) m=4

12) p=3

13) x=6

14) x=-3

15) s=400

Step-by-step explanation:

9) x+2/5=12

    x5  x5

x+2=60

 -2  -2

x=58

10) 7r + 14 - 3r =30

    -14         -14

7r-3r=16

4r=16

÷4 ÷4

r=4

11) [tex]\frac{4}{5}[/tex]m+2=6

    -2  -2

[tex]\frac{4}{5}[/tex]m=4

÷[tex]\frac{4}{5}[/tex]  ÷[tex]\frac{4}{5}[/tex]

m=4

12) 2(5p+9)=48

10p+18=48

     -18  -18

10p=30

÷10  ÷10

p=3

13) 5(2x-8)=20

10x-40=20

    +40 +40

10x=60

÷10  ÷10

x=6

14)6(3-2x)=54

18-12x=54

-18       -18

-12x=36

÷-12  ÷-12

x=-3

15) [tex]\frac{2s}{5}[/tex]-[tex]\frac{s}{2}[/tex]=40

x5   x5

2s-[tex]\frac{s}{2}[/tex]=200

    x2 x2

2s-1s=400

1s=400

÷1  ÷1

s=400

Answer:

see below

Step-by-step explanation:

9)  x = 22

10) r = 4

11)  m = 5

12) p = 3

13) x = 6

14)  x = -3

15)  s = -400

Answer:

  right angles and obtuse angles

Step-by-step explanation:

We assume that anything that looks like a right angle is a right angle.

The angles at the left end of each horizontal line are right angles.

The angles at the right end of each horizontal line are obtuse angles.

The angle where the diagonal lines meet is a right angle.

The shape contains right angles and obtuse angles.

Answer:

x^2+2xh+h^2+2

Step-by-step explanation:

F(x+h)=(x+h)^2+2 = x^2+2xh+h^2+2.

Answer:

y = -1/5x + 2.6

Step-by-step explanation:

Put the equation into slope intercept form:

5x - y = 12

-y = -5x + 12

y = 5x - 12

The slope of a perpendicular line will be the opposite reciprocal.

So, the slope of the new line will be -1/5

Then, plug this slope and the given point into the equation y = mx + b to find b

y = mx + b

3 = -1/5(-2) + b

3 = 0.4 + b

2.6 = b

So, the equation will be y = -1/5x + 2.6

Answer:

  x + 5y = 13

Step-by-step explanation:

When the equation of the line is given in the form ...

  ax -by = c

The perpendicular line can be written in the form ...

  bx +ay = constant

where "constant" is found by using the given point values for x and y.

Here, your equation will be ...

  x +5y = (-2) +5(3) = 13 . . . . for point (-2, 3)

The perpendicular line through (-2, 3) is x +5y = 13.

Answer:

B

Step-by-step explanation:

m

Answer:

you would need to find the area of the quantity of sheet metal needed for a roof

Step-by-step explanation:

The area is used to find the quantity of sheet metal needed for a roof.

We need to check whether the perimeter or area would be used to find the quantity of sheet metal needed for a roof.

Area: Area is defined as the amount of space that is occupied by any shape, object, or flat surface. The total number of square units that can fit into a shape or object or a flat surface defines the actual area.

Perimeter: The word 'perimeter' is derived from the Greek word 'Perimetron'. 'Peri' means 'around' and 'Metron' means 'measure'. The perimeter of a shape is calculated by adding up the length of all the sides or by measuring the outer boundary of a shape or an object.

Therefore, the area is used to find the quantity of sheet metal needed for a roof.

To learn more about an area visit:

https://brainly.com/question/27683633.

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Answer:

coordinate plane

Step-by-step explanation:

1.true or false :The vertical axis is called the y-axis-

Answer:

39

Step-by-step explanation:

195 ÷ 15 = 13

13 x 3 = 39

Answer:

I and IV

Step-by-step explanation:

Answer:

I and IV

Step-by-step explanation:

In order to compare the two data sets with the given statements, find the mean, median, and range for each data set.

First, to compare the mean rainfall of the two cities, find the average of each city's inches of rainfall. To find the average, add up the data points and divide by the total number of points, which is 7.

Since the mean of city A is 2.21 and the mean of city B is 2.1, the mean rainfall of city A is greater than the mean rainfall of city B.

Next, determine the median rainfall for each city. To find the median of the data sets, list the data in order of least to greatest and find the middle term.

Hence, the median of city A is 2.2 and the median of city B is 1.3, so the median rainfall of city B is not half the median rainfall of city A.

In order to compare the ranges of rainfall, find the difference between the minimum and the maximum rainfall amounts for each city.

So, the range of rainfall amounts for city A is less than the range of rainfall amounts for city B.

Therefore, the statements which are true regarding the given data sets are I and IV.

Answer:

x=31

y=15

Step-by-step explanation:

let x and y be the 2 part

x+y=46

x-2y=1 ⇒ x=1+2y

substitute :

1+2y+y=46

3y=46-1

3y=45 ⇒ y=45/3=15

x-2y=1

x-2(15)=1 ⇒ x=1+30 ⇒x=31

x= 2 times y(15)+1

y=15

31+15=46

Answer: 6Y

Step-by-step explanation: 4 + 1 + 1 = 6

Answer:

[tex]\huge \boxed{6y}[/tex]

Step-by-step explanation:

[tex]4y+y+y[/tex]

Rewriting y as 1y.

[tex]4y+1y+1y[/tex]

Factoring out y.

[tex](4+1+1)y[/tex]

Adding the numbers.

[tex](6)y[/tex]

Answer:

y = 2x + 2

Step-by-step explanation:

6x -3y = -6 (get y on one side of the equals sign by substracting 6x from both sides)

-3y = -6x - 6 (divide each side by -3 to get final value of y)

y = 2x + 2

Answer:

5 inches

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

Here A = 25, b = 5 , then

25 = 5h ( divide both sides by 5 )

5 = h

That is the height is 5 inches

Answer: draw a seconded line using a straightedge so that it intersects the first

Step-by-step explanation:

In order to ensure that the second slat is parallel to the first slat, Katie should Draw a second line using a straightedge so that it intersects the first.

Katie should use a straightedge tool to draw a second line on the diagram such that this line intersects with the first line.

This will then allow her to draw a second slate such that it is parallel to the first slat based on the dimensions provided by the second line.

Find out more on constructing parallel lines at https://brainly.com/question/13154179.

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Answer:

x= 7

Step-by-step explanation:

Let the unknown number be x

[tex] {x}^{2} = 49[/tex]

Square root both sides

[tex] \sqrt{ {x}^{2} } = \sqrt{49} [/tex]

Simplify

[tex]x = 7[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

Let the number be 'x'

Create an equation

[tex] \sf{ {x}^{2} = 49}[/tex]

Squaring on both sides

[tex] \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{49} }}[/tex]

[tex] \dashrightarrow {\sf{ \: x = 7}}[/tex]

Hope I helped!

Best regards!

Answer:

Yes

Step-by-step explanation:

You can find the answer to this question by finding the value of x in both equations.

Let's start off with the first equation: [tex]x+4=5[/tex]

To find the value of x, you're going to have to subtract 4 from both sides. This is because you're looking for the value of only x, not x + 4. To leave x alone, you'd have to subtract 4, leaving that side with just x.

[tex]x+4-4=5-4[/tex]

[tex]x=1[/tex]

The answer to the first equation is x = 1.

Now let's start on the second equation: [tex]2x+8=10[/tex]

Like before, you're looking for x alone and in this equation, 8 is being added to 2x. Although x itself isn't alone, you'll first start off with 2x since you can simplify it thrughout the process. In this equation, you're going to subtract 8 from both sides to leave the variable x alone.

[tex]2x+8-8=10-8[/tex]

[tex]2x=2[/tex]

Now you're left with 2x = 2. Since you're looking for the value of x alone, you're going to divide both sides by 2. Because x is being multiplied by 2(2 times x = 2x) you're going to divide(opposite of multiply), which will cancel out the 2(in 2x).

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

[tex]x = 1[/tex]

The answer to the second equation is x = 1.

Since both equations have the same solution, the answer to your question would be yes.

Hello There!

Yes

If you want to know if your two equations are equivalent, let's try finding the answer to both of them.

[tex]x+4=5[/tex]

Let's find x.

We all know addition and subtraction. So let's just do

[tex]5-4=x[/tex]

So 5-4 is equal to 1.

So the answer for this equation is

[tex]x=1[/tex]

Let's move on to your second equation.

[tex]2x+8=10[/tex]

Now we must subtract 8 from both sides.

[tex]2x+8-8=10-8[/tex]

And this equals

[tex]2x=2[/tex]

Let's divide the both sides by 2.

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

The fraction [tex]\frac{2}{2}[/tex] is gonna equal one.

So [tex]x=1[/tex]

Now you have your answer for the second equation. Both answers were the same.

So the answer to your question is YES.

Answer: 3. 4 2/3 ÷ √4/8           4. 4 2/3 - √4/8

Step-by-step explanation:

irrational number will never be changed into rational number when they do any operation with rational numbers.

4 2/3 is a rational number, which means the second term in the expression must be rational in order to make the expression entirely rational

√3 is not rational, thus, all the expressions that contains √3 is irrational.

The remaining have √4, but √4 is rational because simplifying it will become 2, and so expressions with √4 is rational

Answer:

Third and fourth.

Step-by-step explanation:

The first one is not because the second number is not rational; [tex]\sqrt{3}[/tex] is not rational.

The second one is not either for the above reason.

The third is because [tex]\sqrt{4}[/tex] is 2, which is rational.

Also the fourth for the previous reason.

And not the fifth for the first reason.

Answer:

that'd be 200............

Answer:

x=8-y

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( [tex]\frac{x+y}{2}[/tex])sin ([tex]\frac{x-y}{2}[/tex] )

sin x - sin y = 2cos ([tex]\frac{x+y}{2}[/tex] )sin ([tex]\frac{x-y}{2}[/tex] )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin([tex]\frac{A+B}{2}[/tex])sin([tex]\frac{A-B}{2}[/tex] ) ]² + [ 2cos([tex]\frac{A+B}{2}[/tex] )sin([tex]\frac{A-B}{2}[/tex] ) ]²

= 4sin² ([tex]\frac{A+B}{2}[/tex] )sin² ([tex]\frac{A-B}{2}[/tex] ) + 4cos² ([tex]\frac{A+B}{2}[/tex] )sin² ( [tex]\frac{A-B}{2}[/tex] )

= 4sin² ([tex]\frac{A-B}{2}[/tex] )[ sin² ( [tex]\frac{A+B}{2}[/tex] ) + cos² ( [tex]\frac{A+B}{2}[/tex] ) ← sin²x + cos²x = 1

= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) × 1

= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) = right side ⇒ proven

Answer

Ex 3) - b

(-2, 19) (1,4)  

Ex 4) -b

(1, 3) (3, 5)

B or D

Either one of them

Answer:

3.1415×10⁶

Step-by-step explanation:

Move the decimal point one digit at a time until it is after the first digit.  Count the number of times the decimal point moved.

In this case, we move the decimal point 6 places to the left.  So the scientific notation is:

3.1415×10⁶

amount saved = 129.99 - 79.99 = 50 dollars

Divide this over the original amount (129.99) to get

50/129.99 = 0.3846449726902 approximately

This rounds to 0.3846 and converts to 38.46% after you move the decimal point over to the right 2 spots.

Answer: 61.5% Or 62%

Step-by-step explanation:

79.99/129.99= .61535502730979

Move the decimal two times to the left to get 61.5%

If you round it to the nearest decimal you get 62%

Answer:

29) EF is  3

30) AG = 11  

31) AD = 4                            

32) m∠EFG  28°                      

33) m∠CAF = 32°

34) DF = 3                                      

Step-by-step explanation:

29) EF is given as being congruent to EG, therefore, EF = EG = 3

30) AE = EB = 8                                       Given

AG = AE + EG                                          Segment addition postulate

AG = AE + EG = EB + EG = 8 + 3 = 11      Transitive property

31) m∠EAD = m∠EBG = 19°                      Given

m∠DFG + m∠EGF + m∠EAD = 180° Sum of angles of a triangle

∴m∠DFG = 180° - (m∠EGF + m∠EAD) = 180° - (28° + 19°) = 133°

A F = 7                                                        Given

DF = EG = 3                                               Given

AD = A F - DF = 7 - 3 = 4                            From segment addition postulate  

32) m∠EFG = m∠EGF = 28°                       Given

33) m∠CAE = 51°                                         Given

m∠CAE = m∠CAF + m∠EAD               Angle addition postulate

∴ 51° = m∠CAF + 19°

m∠CAF = 51° - 19° = 32°                        Subtraction of angles

m∠CAF = 32°

34) DF = EG = 3                                       Given.

Answer:

Hey there!

The value of x in this figure is 60.

Angles in a four-sided shape add to 360 degrees.

We have an angle of measure 50, an angle of measure 130, and an angle of measure 120.

50+130+120=300.

Thus, the missing angle would be 60 degrees.

Let me know if this helps :)

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360 degrees

x+50 + 120+130 = 360

Combine like terms

300 +x = 360

x = 360-300

x = 60

Answer: 6

Step-by-step explanation:

5x - 7 = 2x + 11

-2x +7   -2x +7 because what you do to one side you have to do to the other

3x = 18 now we have x on one side and nothing else on that side

then divide by 3

18/3 = 6

Answer:

13 mm

Step-by-step explanation:

Given that scale from actual coin to the photo is

8 mm to 2 cm.

Distance across the coin in photo  is 3.25 cm.

To find:

Distance across the actual coin = ?

Solution:

First of all, let us learn about scaling concept.

The concept of scaling is used to represent the actual object as as image so that it can be drawn on a paper.

This scaling can result in a smaller image or a bigger image depending upon the size of object.

Here, 8 mm coin is represented as 2 cm coin on the photo.

Let us use unitary method to identify the distance across actual coin to the distance across photo.

2 cm ---- 8 mm

1 cm ------ [tex]\frac{8}{2} = 4\ mm[/tex]

3.25 cm ------- 4 \times 3.25 mm = 13 mm

Answer:

use the straight line test

Step-by-step explanation:

use your pencil or draw a line horizontally (like this -> I )anywhere on the graph. If it's a function, it will only touch the line at one point no matter where you put the line.