A line that includes the points ( – 8,9) and ( – 10,d) has a slope of 6. What is the value of d?

Answers

Answer 1

Answer:

The value of d is -3.

Step-by-step explanation:

We are given that a line that includes the two points (-8, 9) and (-10, d) have a slope of 6. We want to determine the value of d.

Recall that the formula for slope is:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x}[/tex]

We know that the slope is 6. Substitute:

[tex]\displaystyle (6) = \frac{(d) - (9) }{(-10) - (-8)}[/tex]

Solve for d:

[tex]\displaystyle \begin{aligned} 6 & = \frac{d - 9}{-10 + 8} \\ \\ 6 & = \frac{d - 9}{-2} \\ \\ -12 & = d - 9 \\ \\ d & = -3 \end{aligned}[/tex]

In conclusion, the value of d is -3.


Related Questions

Hello can someone help me please and thank you

Answers

Answer:

a

Step-by-step explanation:

Pls Answer This Ill Rate 3 stars and giva a thanks if u answer and btw this is a 15 point questions PLS ANSWER I BEG

Answers

the answer is -2¹⁶

mark me as brainlist answer

What is 9,403.053 rounded to the nearest hundredth ​

Answers

Answer:

9,403,100

Step-by-step explanation:

just round it to the nearest 100

Contestants ABCDEFG and I are in a 10k race. In how many ways can C finish first and A finish second?

Answers

Answer:

I would advise you to simplify the question a little bit so that more people can understand and help you out!

My dinner cost $24.15 plus tip. I paid $28.98 total. What tip percentage did I leave?

Answers

Answer:

24.12+28.90

Step-by-step explanation:

with a A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly selecting someone from this group brother given that they have a sister?
P(Brother|Sister)
5/12
5/17
5/9
5/14​

Answers

Answer:

5/14

Step-by-step explanation:

add 5 and 9 to get the denominator

Order of operations
11 + 14 ÷ 2 - 1

Answers

Answer:

17

Step-by-step explanation:

(11+14÷2)−1

 (11+7)−1

    18−1

       17

Solve the following for x:
4x + y = z
a.x = z - y - 4
b.x = z/4
c.x = z-y/4
d.x = z+y/4
Explain

Answers

Answer:

[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]

Step-by-step explanation:

4x + y = z

4x = z - y

x = 1/4z - 1/4y


The box-and-whisker plot represents the number of tickets
sold for each show of a musical in the first month.
Ticket Sales for Musical
100 120 140 160 180 200 220 240
what is the range?

Answers

Answer:

345

Step-by-step explanation:

write 1 409 in words

Answers

Answer:

One thousand four hundred nine

Step-by-step explanation:

I need help I don’t understand

Answers

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

___o_o___

2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

___o_o___

3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

___o_o___

4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

___o_o___

5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

___o_o___

6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

___o_o___

7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

___o_o__

8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

___o_o___

9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

___o_o___

10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

___o_o___

Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

___o_o____

Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Plz help!!!

A.) is the relationship a function?

B.) explain your answer. Use words “input” and “output”.

C.) Rachel plans to study 2 hours for her next exam. Will plotting her grade on the same graph change your answer to part a?
- No, it will stay a function
- Yes, it would change to not a function

D.) explain your answer from part c. Be specific.

Answers

Answer:

no of course yes its no yes

Step-by-step explanation:

Drag each tile to the correct box.
Arrange the absolute value expressions in increasing order of their values.

Answers

Answer:

18, 38, 43, 47, 55, 88, 90

Hope that has helped

How many 1/4 cups in 3/5 cups

Answers

There are 3 complete cups

Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex]x + 4

Step-by-step explanation:

To find the slope of a perpendicular line, find the negative reciprocal of the slope.

The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]

________________

Then use point slope form to find the equation of the perpendicular line:

y - [tex]y_{1}[/tex] = m (x -  [tex]x_{1}[/tex] )

point = (6, 2)

slope = - [tex]\frac{1}{3}[/tex]

y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)

________________

If you want it in slope intercept form, you can just rearrange the equation:

y = 2 - [tex]\frac{1}{3}[/tex]x +2

y = - [tex]\frac{1}{3}[/tex]x + 4

Overnight the temperature decreased by 17 1/2. If the temperature began at -3.6 what is the current temperature?

Answers

Answer:

The answer is -21.1 degrees

Step-by-step explanation:

You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!

A jar has 20 marbles: 3 green, 12 blue, 5 red.

What is the probability of randomly choosing a red and then a green marble (keep the red marble when you choose it)?

Answers

Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is [tex]3/76[/tex].

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = [tex]\frac{1}{4}[/tex]

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4  x 3/19

= [tex]3/76[/tex]

To learn more, visit the link below:

https://brainly.com/question/22563776

If g(3) = 5 and g(-1) = 5, explain why g(x) does not have an inverse.

Answers

g(x) cannot have an inverse because it gives the same output value for two individual input values.

In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.

Let me know if you have any questions, thanks!

Can someone help me pls.....

Answers

Answer:

the first one is equivalent and the second one is not equivalent

Step-by-step explanation:

In the first one do the distributive property first by distributing the the -2.

[tex]3x - 4.6x - 5 = 1.6x - 5[/tex]

collect like terms on the left side

[tex] - 1.6x - 5 = - 1.6x - 5[/tex]

they are equivalent.

The second equation do the distributive property first by multiplying by -3.

[tex]5 + 4.8x + 6.3 = 4.8x - 1.3[/tex]

collect like terms on the left.

[tex]4.8x + 11.3 = 4.8x - 1.3[/tex]

not equivalent


Algebra 1
> H.2 Distributive property BHL
Factor 2w + 8.
Write your answer as a product with a whole number greater than 1.

Answers

Answer:

2(w+4)

Step-by-step explanation:

2w+8

=2(w+4) -> factoring by grouping

3/7 in decimal form rounded to the nearest thousandth

Answers

Answer:

3/7=0.4285

Step-by-step explanation:

0.4285

= 0.429

there are five numbers that average 260. Three of the numbers are 63, 41, and 36. The last two numbers are the same as each other. What are the last two numbers?​

Answers

Answer:

70

Step-by-step explanation:

I added the numbers given then subtracted from the given number which left 140. The answer is the same number twice which would be 70.

Find the distance between the points (6,3) and (-1,-6).

Answers

Answer:

All you need is the distance formula.  The distance betwen two points

(x1,y1) and (x2,y2) is d= sqrt((x2-x1)2 + (y2-y1)2)

 

plugging in the values we get:

d= sqrt((6-(-6))2 + (6-1)2)

= sqrt((6+6)2+52)

 = sqrt(144+25)

= sqrt(169)

= 13

Answer:

[tex]\sqrt{130}[/tex]

Step-by-step explanation:

6 - (-1) = 7

3 - (-6) = 9

7^2 + 9^2 = c^2

49 + 81 = c^2

c^2 = 130

Hi hope you’re have a great day can I get some help please

Answers

Answer:

the function is odd

Step-by-step explanation:

functions that are symmetric with respect to the y axis are even functions

functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)

have a nice day!

This square potholder has a side of 8 inches. What is its area?

Answers

Answer:

64 i[tex]n^2\\[/tex]

Step-by-step explanation:

ok so first the shape is a square which means all sides are the same length so

8*8 = 64

Have a nice day! :-)

64
Okay okay I just think it’s alright

what is 100 X 694 / 8460 + A =???

Answers

zmxjdjsjdhnsjduxjdjd

What is the whole story about? An uncomfortable bed and Tell tale heart

Answers

answer →a murder most heinous and a narrator who fights his insanity

explanation: I read the book in cass

Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.

An equation is written as two expressions connected by the equal sign

Enter an equation for the shifted graph:

Answers

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

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

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive, the translation is upwards.

If N is negative, the translation is downwards.

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

The shift up of 4 units is written as:

g(x) = f(x) + 4

The shift of 2 units to the left is written as:

g(x) = f(x + 2)

These two together give:

g(x) =  f(x + 2) + 4.

This is the equation we wanted to get.

If you want to learn more, you can read:

https://brainly.com/question/24401156

PLEASE HELP WILL MARK BRAINLIEST!!TY!!

Answers

Answer:AB = 5/2 and CD = 2/-5, perpendicperpendicular

Step-by-step explanation:

0+5 = 5

2+2=4

1+2=3

8-5=3

Given: sin theta=2/3 and is in the second quadrant; evaluate the following expression. sin 2 theta

Answers

Answer:The answer to your question is 3. 0

Step-by-step explanation:

Process

1.- Find the cos a

  Opposite side = 5

  Hypotenuse = 13

  Adjacent side = ?

  Adjacent side² = 13² - 5²

                          = 169 - 25

                          = 144

 Adjacent side = 12

cos a = 12/13

2.- Find the sin b

sin b = 5/13

3.- Use the formula below to find sin(a + b)

              sin (a + b) = sina cosb  + sin b cos a

- Substitution

              sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)

- Simplification

              sin (a + b) = -60/169 + 60/13

- Result

              sin(a + b) = 0                        

Step-by-step explanation:

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