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

Write the equation of the line passing through the points (2,-5) and (7,-3).

Answers

Answer:

5y·2x=21

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]

Step-by-step explanation:

using the formula above,you will find the equation 5y–2x=21

In the following, write the binary number in base 10.
110010112

What’s the answer

Answers

1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰

1100 1011₂ = 128 + 64 + 8 + 2 + 1

1100 1011₂ = 203

If the property tax on a $100,000 home is $1500 what is the tax on a $120,000 home

Answers

the tax rate would be around 30.2% so the tax would be around $6,984 per month

a + 0 = a

Choose the property of real numbers that justifies the equation

Answers

not sure but: If a is a real number, then a + 0 = a and 0 + a = a OR If a is a real number, then a ⋅ 1 = a and 1 ⋅ a = a

There are 13 apples in a basket. 7 of these apples are green. The rest of them are red.

Answers

⃝⃝⃝  Hello there! ☆☆☆☆☆

There are 6 red apples.

We have 13 apples. 7 are green. The amount of red apples is found by:

13-7=6

:)

I hope this helps you!

[tex]GraceRosalia[/tex]

Answer:

6 red apples

Step-by-step explanation:

13 - 7 = 6

Does anyone need help for any cooking/baking

Answers

Answer:

i would like to b a k e a  dan ish

Step-by-step explanation:

How do you make/bake dessert kolaches?

Calculus, derivatives. Please help! Show work, if possible. Thanks! :)

Answers

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

What is the inverse of the function g(x) = x^3/8 + 16 ?

Answers

Answer:

[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• let f(x) be m:

[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• make x the subject of the function:

[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]

• therefore:

[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]

Graph the number on the number line. Then use your number line to find the
absolute value.

Answers

Answer: 9

Step-by-step explanation:

The opposite of -9 is 9.

What's the difference between -40ft and 3000ft

Answers

Answer:

2960 ft.........is the difference between -40ft and 3000ft

. Order these numbers in Descending order 28.3 1 28 3 5V25 25 4 nswer:​

Answers

Answer:

28.3 28 25 5 4 3 1

Step-by-step explanation:

What is that V there for? I can fix answer if needed

simplify the expression 6y-2y(x+1)​

Answers

Answer:

2. 4y-2xy

Step-by-step explanation:

6y-2y(x+1)=6y-2xy-2y

=4y-2xy

the quotient of 2 and a number x,times 3

Answers

Answer:

(2/x)3 or 3(2/x

Step-by-step explanation:

The quotient of 2 and x is expressed as 2/x Multiplied by 3 can be expressed as (2/x)3 or 3(2/x)  

Which of the following statements describes the graph below?

PLS HELP.

Answers

Answer:

piecewise, continuous.

Step-by-step explanation:

This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous.  I hope this helps!

It's offcourse piecewise

For continuity

Observe the graph

The domain is like

(-oo,1]U(1,2]U(2,oo)

For close ineterval there is an open interval hence it's continuous

A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?

Answers

Answer:

5 full time servers and 10 part-time servers

Step-by-step explanation:

Hope this helped, please let me know if it is correct.

solve the eequation show all your work g + 5 = 7 1/5

Answers

Answer:

Move all terms not containing

g

to the right side of the equation.

Exact Form:

g

=

46/5

Decimal Form:

g

=

9.2

Mixed Number Form:

g

=

9 1/5

.:

Answer:

g = 2 1/5

Step-by-step explanation

get g by itself by canceling out the 5

whatever you do to one side you have to do to the other side.

5-5 leaves you with nothing but the g on the left side of the equals sign

7 1/5 -5= 2 1/5

so your left with g= 2 1/5

g + 5 = 7 1/5

    -5     -5

g  = 2 1/5

A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 15 cm?

Answers

Answer: 15 cm

Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.

it is 15 cm
Hope this helped :)

Gregory has a credit card with a 30-day billing cycle and an APR of 11.95%. The following table shows Gregory’s credit card transactions for the month of April.

Date
Amount ($)
Transaction
4/1
622.82
Beginning balance
4/4
45.45
Payment
4/10
78.91
Purchase
4/25
16.36
Purchase

Between the adjusted balance method and the daily balance method, which method of computing Gregory’s April finance charge will result in a greater finance charge, and how much greater will it be?
a.
The daily balance method will have a finance charge $0.09 greater than the adjusted balance method.
b.
The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.
c.
The adjusted balance method will have a finance charge $1.40 greater than the daily balance method.
d.
The adjusted balance method will have a finance charge $0.86 greater than the daily balance method.

Answers

Answer:

✅B. The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.

i got it right on test⬇️

If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices

Answers

$2.50 f ft hh oh ghghvgbhhjj

Unit form of 13/5 divided by 4/5l

Answers

Answer:

663/20

Step-by-step explanation:

if you want simplist form its 33 3/20 or decimal its 33.15

Which is steeper & why?
A ramp with a rise of 2ft and a run of 6ft
OR
A ramp with a rise of 1ft and a run of 4ft

Answers

A ramp with a rise of 1 ft and a run of 4ft

Mary decided she will run every 3rd day and play
tennis every 5th day. How many days until she will
run and plays tennis on the same day?

Answers

Answer: the 15th day

Step-by-step explanation:

Skip count by both numbers until you reach the first number they have

   in common;

     3, 6, 9, 12, 15, 28, 21, 24, 27, 30

     5, 10, 15, 20, 25, 30, 35, 40

-3x-2=13
please show steps on how to do

Answers

Answer:

x=-5

Step-by-step explanation:

-5*-3=15

15-2=13

Hope it helps

Answer:

x = -5

Step-by-step explanation:

-3x-2=13

Add 2 to both sides of the equation

-3x-2+2=13+2

Simplify

-3x=15

Divide both sides of the equation by the same term

[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]

Simplify

x = -5

the present value of an annuity of 3000 for 15 years at 4.5 % per annum CI is

Answers

Answer:

3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.

Help me with question 4 and 5 plz

Also click the photo to see the full question

Answers

Answer:

CE (for number 4)

Step-by-step explanation:

sorry i don't know the answer to 5

side length of a cube with a volume of 614cm

Answers

Answer:

just get the cube root of 614

A go-karts top speed is 607,200 feet per hour. What is the speed in miles per hour?

Answers

115 miles per hour. Divide 607,200 by 5280.

What is the y-intercept of the graph below.​

Answers

The y-intercept is 0, as that is where the line go thorugh the y-axis line.

Please help me this a important test and I’m not good at math please explain step by step so I can learn the formula for once

Answers

Answer: You"ll earn $884 because we know that 707.20 divided by 32 equals 22.1 and 22.1x40 = $884. Therefore, you"ll make $884 for 40 hours.

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

Answers

If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -

36/3 = 12

You will need 12 pizzas.

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