I need help showing work and explain the reason

Answer:

[tex]\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}[/tex]

[tex]\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}[/tex]

Step-by-step explanation:

In order to find the equations that are parallel/perpendicular to the line [tex]y = \frac{7}{2}x - 4[/tex], we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.

We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.

Since the slope of our base line is [tex]\frac{7}{2}[/tex], we can find the reciprocal, then the opposite of that.

So the slope of this line will be [tex]-\frac{2}{7}[/tex], making our equation [tex]y = -\frac{2}{7}x+ b[/tex]

However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.

Now we know the y-intercept of this equation is [tex]\frac{22}{7}[/tex]. We can now finish off our equation of the line by substituting that in to what we already have,  [tex]y = -\frac{2}{7}x+ b[/tex].

[tex]y = -\frac{2}{7}x+ \frac{22}{7}[/tex]

As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is [tex]\frac{7}{2}[/tex], the slope for this one will also be [tex]\frac{7}{2}[/tex].

So we now know the equation looks something like [tex]y = \frac{7}{2}x + b[/tex].

In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.

Now that we know the slope and the y-intercept, we can finish off our equation as [tex]y = \frac{7}{2}x -12[/tex].

Hope this helped!

Answer:

See explanation!

Step-by-step explanation:

The term 9x is comprised of two values: 9 and x. The 9 represents the cost of the general admission tickets. Since the expression is representing the total cost for the group of friends, the number of friends attending must be represented somehow in the equation. Since the $9 is paired with the x, this means that x represents how many of the friends are paying the general admission price. After interpreting both values within the term, the meaning of the term 9x is simply just the total cost of the friends that are paying the general admission price! Hope this helps!

Answer:

2

Step-by-step explanation:

5 and 7 are the coefficients if you need them

Answer: 23.2 miles per hour

Step-by-step explanation:

He ran 100 meters in 9.63 seconds.

First convert the number of meters he ran to miles:

= 100 * 3.28

= 328 feet

= 328/5,280

= 0.062121212 miles

Convert the seconds to hours:

= 9.63 / 60

= ‭0.1605‬ minutes

= ‭0.1605‬/60

= ‭0.002675‬ hours

Speed in miles per hour is:

=  0.062121212 / ‭0.002675

= 23.22

= 23.2 miles per hour

Answer:

1. x^2-5

2. 13x+3

3. Add −5 and 3

2x−13x-2

hope this helps!!:)

Step-by-step explanation:

Answer: 65

Step-by-step explanation:

Answer:

wut

Step-by-step explanation:

Answer:  15x + 25y = 4500

Step-by-step explanation:

The cost per general admission tickets is $15  and if x is used to represent the number of general admission tickets then 15 has to be multiplied by  x  and that gives the expression   15x  

The same with the VIP tickets, each one cost $25 and y is used to represent the number of VIP tickets sold, so if you want to find out how much a number of VIP tickets cost then you will have to multiply 25 by y  and that derives the expression  25y.

A combination of both tickets has to equal $4500 because that is amount they were both sold to get in total.

15x + 25y = 4500

Answer: im just going to guess 35 degrees

Step-by-step explanation:

Answer:

its 25

Step-by-step explanation:

35+120 =155

180 (the sum of a triangle) - 155 = 25

missing triangle equals= 25

to check= add the 3 triangles together, if the sum adds up to 180 its correct.

125+35+25= 180 √

Answer:

-3*9=27

-3+-9=-12

Step-by-step explanation:

hope it helps

Answer:

she has to give him 4 dollars each week for 11 weeks since he already has 7 dollars.

Step-by-step explanation:

4 x 11 = 44 +7 = 51 so now he had enough for a skateboard.

Answer:

64

Step-by-step explanation:

Answer:

Standard Deviation (cont’d)Weights(pounds):110 120 130 140 150 150 160 170 180 190Deviation scores(x) forM = 150:-40 -30 -20 -10 0 0 10 20 30 40 Squared deviation scores(x2):1600 900 400 100 0 0 100 400 900 1600Sum of squared deviation scores:1600+900+400+100+0+0+100+400+900+1600 = 6000SD= √(6000/(N-1) = SD= √(6000/(9) = 25.82Standard Deviation Interpretation•Provides a “standard”—the SDindicates the average amount of deviation of scoresfrom the mean•Tells you how wrong, on average, the mean is•An SDprovides valuable information when the distribution is normal:–There are approximately three SDsabove and below the meanin a normal distribution•In a normal distribution, a fixed percentage of cases lie within certain distances from themeanSDs and Individual Scores•A person who scores one SDbelow the mean has a higher score than 16% of the cases (2.3% + 13.6%)•A person who scores one SDabove the mean has a higher score than 84% of the cases (50.0% + 34.1%)Example: Midterm marks:

Answer:

The answer is 13°C because 15-2 gives you 13

Step-by-step explanation:

Answer A. 3 mph

A. 3 mph

Answer:

Hello,  and I would like to help you. Would you mind if I just gave you the answer? If you would like me to explain say so in thec h a t

if you just want the answer tell me in c h a t I can always edit my answer.

Step-by-step explanation:

Answer:

50 dollors

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

6-6=0 so when you multiply s by 0 its 0

Answer:

F(x)= 4x-1 I think so hope it will help you

 f(x) = −2x^2 + 12x − 16

I just took the test and it was right

Answer:6:45

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

a ratio is just a fraction

9:45 = 9/45

6:x = 6/x

now you have 9/45 = 6/x

cross multiply:

9 * x = 45 * 6

9x = 270

divide both sides by 9

9x/9 = 270/9

x = 30

Answer:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Step-by-step explanation:

Answer:

Angle 6 is 47°

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Answer:

2(4.5+4.3)=2×8.8= 17.6 mm

[tex] \frac{4.5}{4.3} = \frac{24.3}{x} \\ x = \frac{24.3 \times 4.3}{4.5} \\ \boxed{x = 23.22 \: mm}[/tex]

2(24.3+23.22)= 2×47.52= 95.04 mm

Answer:

19

Step-by-step explanation

adding 9+10 makes 19

Answer:

11 miles

Step-by-step explanation:

10-1.75=8.25

8.25÷.75=11

Answer:

2x+2y = 8

x – 2y = 4

3x=12

x=12/3=4

x=4

2x+2y=8

2(4) + 2y = 8

8+2y = 8

2y=8-8

2y=0

y=0/2=0

2(4)+2(0)=8

8+0=8

x+y=8

x-y=4

2x=12

x=12/2=6

6+y=8

y=8-6=2

6+2=8

2x+2y=4

x-y=4

2x+2y=4

2(x-y=4)

2x+2y=4

2x-2y=8

4x=12

x=12/4=3

2(3)+2y=4

6+2y=4

2y=4-6

2y=-2

y=-2/2=-1

2(3)+2(-1)=4

6+-2=4

x+2y=8

-(x+3y=4)

x+2y=8

-x-3y=-4

-1y=4

y=4/-1=-4

x+2(-4)=8

x+-8=8

x=8+8=16