What is a slope of a line parallel to the line whose equation is Y - X = 5

A) -1
B) 1/5
C) 1
D) 5

Answer:

Step-by-step explanation:

P = perimeter = 114

P =2 * length +2* width

P = 2(2x - 3) + 2(x)

114 =  4x-6  + 2x

114 = 6x -6

19 = x -1

20 = x

check it  

2( 2x -3)+2x =  ?  

4x -6 +2x=?

6x -6 = ?

6(20)-6 =?

120-6 = 114

yep this is correct

Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Answer:

its C

Step-by-step explanation:

Answer: it would be B, here a picture for you to understand it

Step-by-step explanation: Hope you see the picture and hope this help

Answer:

Step-by-step explanation:

Expression to show the cost of t teacher tickets and s student tickets:

[tex]x + 120 = 180[/tex]

(linear pair of angles)

[tex]x = 180 - 120[/tex]

[tex]x = 60[/tex]

Answer:

Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Step-by-step explanation:

First, create a ratio comparing the number of boys to girls:

42:35

This can be simplified since both numbers are divisible by 7:

42:35

Divide each number by 7:

6:5

So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Answer:

incorrect i think

Step-by-step explanation:

the ration would be 6:5

Answer:

$512.45

Step-by-step explanation:

total amount = base fee + per box charge

total amount = $199.95 + $12.50 * 25

total amount = $199.95 + $312.50

total amount = $512.45

Answer:

the question is cut in half

Answer:

a₁₃ = 4096

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then

a₁₃ = 1 × [tex]2^{12}[/tex] = 4096

Answer:

1080

Step-by-step explanation:

if 10 percent are left handed that means that 90 percent are right handed

Answer:

120

Step-by-step explanation:

10%=0.1

1200*0.1=120

Answer:

c= -20h + 90

Step-by-step explanation:

The equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

We have the graph that shows the amount of charge left on  computer, c, after  h hours.

Let us consider two points (h, c) on the graph

(0,90) and (4.5, 0)

Now the equation of the line passing through two points

[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]

So, the equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

Learn more:https://brainly.com/question/16934180

Answer:

6%

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

30 = 500r

r = 3/50 or 6/100 which is 6%

Answer:

2

Step-by-step explanation:

Two angles are congruent, and one side is congruent in the pair of triangles, option 2.

Answer:

2 should be the answer

Step-by-step explanation:

since two angles are equal and one side in equal you can write triangle ABC=TAY by angle angle side axiom

Answer:

I think it's a but I'm not 100 percent sure but I'd say a

Answer:

D

Step-by-step explanation:

cos β

= Adjacent / Hypotenuse

= 5/ 13

Answer:

5/13

Step-by-step explanation:

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

Answer:

option A, I guess .....

.

Answer:

[tex]Arrival\ Time = 5:30\ pm[/tex]

Step-by-step explanation:

Given

[tex]Current\ Time = 4pm[/tex]

[tex]Speed = 70mph[/tex]

[tex]Distance = 105miles[/tex]

Required

Determine the arrival time

First, we calculate the time taken from Belfast to Dublin using:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values to the expression.

[tex]70 = \frac{105}{Time}[/tex]

Cross Multiply

[tex]70 * Time = 105[/tex]

[tex]Time = \frac{105}{70}[/tex]

[tex]Time = 1.5\ hour[/tex]

Arrival time is then calculated as:

[tex]Arrival\ Time = Current\ Time + Time\ Taken[/tex]

[tex]Arrival\ Time = 4pm + 1.5\ hour[/tex]

[tex]Arrival\ Time = 5:30\ pm[/tex]

Complete question :

A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots. what is the length of each square plot?

Answer:

8 m

Step-by-step explanation:

Given that :

Dimension of garden = 40m by 24m

Length of garden = 40m

Width of garden = 24m

To Obtain the length of each square plot if the garden is divided into minimum number of square plots ; we take the highest common factor of the dimension:

Length (40) = 1, 2, 4, 5, 8, 10, 20, 40

Width (24) = 1, 2, 3, 4, 6, 8, 12, 24

The highest common factor here is 8 ;

Thus, the length of each square plot is 8m

Answer:

The quotient of two integers may not always be an integer.

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

Step-by-step explanation:

The student is not largely correct!

The sum, difference, and product of two integers is indeed always an integer.

But, the quotient of two integers may not always be an integer.

i.e.

4/2 = 2

i.e.

2/3 = 0.67

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

Answer:

Please mark as brainliest!!!!

Step-by-step explanation:

https://brainly.com/question/1144043

Answer:

Step-by-step explanation:

Given

Let the inverse be y= f⁻¹(x)

To find inverse change x ⇒ y and solve for y:

So the inverse is:

Answer:

2

Step-by-step explanation:

5 bottles = 10 dollars

divide by 5 to get 1 bottle

now divide 10 by 5 that will be 2

2$ for 1 bottle

Answer:10

Step-by-step explanation:and a slope 2/12 roof slope means your roof has 2 inches of vertical drop for every 12 inches of horizontal distance.Aug

The equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through the points (12, 6) and (0, -4)

Slope = -4-6/0-12

=-10/-12

=5/6

Now let us find y intercept passing through (12, -2)

-2=5/6(12)+b

-2=10+b

-12=b

Hence,  the equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

To learn more on slope of line click:

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Answer:

a. 5/10 = 50%

b. likelihood you'll draw a card with a B on it

I'm not sure about c.

Answer:

22?

Step-by-step explanation:

just follow PEMDAS. first multiply then divide then add then subtract

Answer:

[tex] 18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350[/tex]

Answer:

350

Step-by-step explanation:

To figure out the number, divide 63 by 18%

63/0.18 = 350

You can check by doing the opposite operation with your answer:

350 · 0.18 = 63

Answer:

7^53

Step-by-step explanation:

8x3=24

24x4=96

96/9=10.6

10.6x5=53

Answer:

7^11

Step-by-step explanation:

There is a rule for simplifying exponents: n^a + n^b = n^a+b.

The rule applies here too. 7 is the n and the exponents on top are a and b. Following the rule:

[tex] {7}^{8} \times {7}^{3} = {7}^{8 + 3} = {7}^{11} [/tex]

Then you continue this formula:

11+4-9+5 = 11

Since the end result is 11 the answer is

[tex] {7}^{11} [/tex]