the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k

Answers

Answer 1

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute   [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above

[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]

Therefore, the value of k is 1.5

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Related Questions

Class 1 and class 2 have a total of 630 house points. Class 1 have double the number of house points that class 2 have. How many house points do class 2 have?

Answers

Answer:

Class 2 has 210 house points.

Step-by-step explanation:

630/3 = 210

1 = 210 x 2 = 420

2 = 210

420 + 210 + 630

Class 2 has 210 points

please helpp and show your work pleasee

Answers

Answer:

[tex]b=27[/tex]

Step-by-step explanation:

[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]

Invisible Steps:

Add 7 on each side of the equation:

[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]

Multiple 3 on each side of the equation:

[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]

[tex]9[/tex] · [tex]3=27[/tex]

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink iS apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.

Answers

Answer:

7/20 cranberry

Step-by-step explanation:

Answer:

7/20 is the answer

Step-by-step explanation:

math!!

What is the charge on an object that has 1. 25 * 10 ^-17.

Answers

Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.

Step-by-step explanation:

solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in

Answers

Answer:

not clear enough

Step-by-step explanation:

what is -7/12 divide 1/7?
PLZ show work!!!!

Answers

Answer:

Step-by-step explanation:

When dividing two fractions you would turn the divisor into its reciprocal then multiply. So -7/12 divided by 1/7 would be equal to -7/12 multiplied by 7/1 (7/1 is the reciprocal of 1/7)

-7/12 divided by 1/7 =

-7/12 multiplied by 7/1=

-49/12

Simplify.

look at screenshot answer question and i will mark you brainliest

Answers

Answer:

[tex]y= -3x+9[/tex]

Step-by-step explanation:

We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is

[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.

At this point, it's just a matter of writing the equation in the wanted form:

[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]

Which is the equation you want.

If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]

Subtract 27 from a number K

Answers

Answer:

K - 27

Step-by-step explanation:

You would have to subtract 27 from the number K, so it would be K - 27

If Kevin has 3/4 of a rope in needs 4/8 of a rope how much more rope does he need.

Answers

If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8

How to find factors of a number.

Answers

To find factors of a number you have to see what numbers you can multiply to get to that number. For example i’ll use the number 9. 3x3 equals 9 and 9x1 equals 9.

A, B & C form a triangle where Z BAC = 90°
AB = 4.8 mm and CA = 6.6 mm.
Find the length of BC, giving your answer rounded
to 1 DP.

Answers

Answer:

BC = 8.2 mm

Step-by-step explanation:

This is a right triangle with BC as the hypotenuse

(BC)^2 = 4.8^2 + 6.6^2

(BC)^2 = 23.04 + 43.56

(BC)^2 = 66.6

Take the square root of both sides

BC = 8.1608823052

Rounded

BC = 8.2 mm

Write a unit rate for the situation.

270 miles in 6 hours

Answers

Answer:

45 miles per hour.  270 divided by 6 is 45 there.

Step-by-step explanation:

The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax

Answers

Before tax price - $34.72
After tax price - $38.19

Find the value of the variables.

Answers

Answer:

x = 56

y = 68

Step-by-step explanation:

Please mark as brain list

Simplify (5p+1.49)-(2p+6.49)
Thank you!

Answers

5p+1.49-2p-6.49
Combine like terms
3p+1.49-6.49
=3p-5



Need help on this question.

Answers

the slope is 4
slope intercept form : y=4x-2
point slope form: y-2= 4(x-1)

(A) Find the dimensions of the rectangle with area 324 square inches that has minimum perimeter, and then find the minimum perimeter.

Answers

A = L*w

324 = L*w

324/w = L

P = 2*( L + w)

= 2 * ( 324/w + w)

= 648/w + 2w

= (648 + 2w^2)/w

You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)

Up River:
ft:
min

Down River:
ft:
min

Answers

You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.

The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,

28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.

423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.

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HELP PLS ASAP PLS PLS PLS

Answers

Answer:

Step-by-step explanation:

m = 63°

n = 135°

p = 63°

r = 112.5°

s = 50°

t = 67.5°

Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?

Answers

Using the domain, it is found that x = -8 is excluded for the product.

The domain of a function is the set that contains all possible input values.

In a fraction, the denominator cannot be 0.

In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.

For the first fraction, they are:

[tex]3x^2 + 6x = 0[/tex]

[tex]3x(x + 2) = 0[/tex]

[tex]3x = 0 \rightarrow x = 0[/tex]

[tex]x + 2 = 0 \rightarrow x = -2[/tex]

Hence, x = -2(not an option) is excluded.

x = 0 can be factored with the numerator of the second fraction, so not excluded.

For the second fraction, the roots of the denominator are:

[tex]x^2 + 11x + 24 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:

[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]

[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]

[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]

x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.

A similar problem is given at https://brainly.com/question/13136492

Answer:

0, -3, -8

Step-by-step explanation:

using the number 2, 4, 6 and 8 write an expression that equals 60

Answers

Answer:

(8-2)(4+6)

Step-by-step explanation:

1. (8-2)(4+6)

6x(4+6)

2. 6x10

3. =60

PLS HELP WILL MARK BRAINLIEST, PLS HURRY

Answers

multinomial, i believe
hope this helps!



12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles

in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation

y= 9/2x; x=10/9

y=2/9x; x=22.5

y=2/9x; y=10/9

Oy=9/2; y=22.5

Answers

Answer: y=2/9x; x=22.5

Step-by-step explanation:

Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).

Distance,y = (Speed)*(Time, x)

y = (Speed)x

y = (9/2)x

If x = 5 hours,

y = (9/2)*5, or 22.5

y=2/9x; x=22.5

The number 20,2Δ8 is a 5-digit number with the tens digit covered by a triangle. Given that the number is divisible by 7, what is its tens digit? I GIVE BRAINLIEST!

Answers

Answer:

20258. The missing digit is a 5

Step-by-step explanation:

Ok, let's write the number in a more creative way.  That's [tex]21 000 - 700 = 20 300[/tex],  minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).

That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]

In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.

I agree with the other person. The answer is 5.

Here's how we can check to see if a number is divisible by 7.

Step 1) Remove the units digit to form a truncated (aka shrunken) number.Step 2) Double the digit we removed.Step 3) Subtract that result from the truncated number.

If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.

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

Let's use those steps to see if 20,258 is a multiple of 7

Step 1) Remove the '8' from 20258 to to get 2025Step 2) Double the 8 to get 16Step 3) Subtract 16 from 2025 to get 2025 - 16 = 2009

It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.

Step 1) Remove the 9 from 2009 to get 200Step 2) Double the 9 to get 18Step 3) Subtract to get 200-18 = 182

Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.

Step 1) Remove the 2 from 182 to get 18Step 2) Double that value we removed to get 4Step 3) Subtract to get 18-4 = 14

The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.

Notes:

182 = 26*72009 = 287*720258 = 2894*7

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

We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.

Step 1) Remove the 9 from 20259 to get 2025Step 2) Double the 9 to get 18Step 3) Subtract: 2025 - 18 = 2007

Repeat the steps until we get something more manageable

Step 1) Remove the 7 from 2007 to get 200Step 2) Double the removed digit: 7*2 = 14Step 3) Subtract: 200-14 = 186

Let's do one more round

Step 1) Remove the 6 from 186 to get 18Step 2) Double the digit removed: 2*6 = 12Step 3) Subtract: 18-12 = 6

The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.

If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.

186/7=26.57 2007/7=286.71 20259/7=2894.14

This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.

Help
I need help with this part

Answers

Answer:

[tex]3)y = kx \\ 4)y = kx \\ 5)y = - kx[/tex]

you start with a given set of rules and conditions and determine something to be true. What type of reasoning did you use?

Answers

Answer:

Deductive Reasoning.

Step-by-step explanation:

Basically it’s logical thinking in simply terms.

What is the area of this tile?

Answers

Answer:

i think its 16 but im not sure

Step-by-step explanation:

6+6+2+2= 16 but im not sure if that how u do it or not

it's been so long since i've done that stuff. 12 in i think

What is 4+2(5)+(-3)=

Answers

Answer:

The answer is 11, I think, hope this helps!

Step-by-step explanation:

Answer!

=================================================

Solve.

[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]

Therefore, the answer is 11.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

What is the probability of getting 6 as a product explanation and calculation

Answers

For an individual die roll, the probability of rolling 6 is \dfrac{1}{6}

6

1

.

Effectively, this problem is asking for P(\text{1st roll is 6}\cap\text{2nd roll is 6})P(1st roll is 6∩2nd roll is 6).

Using the rule of product, this is:

\dfrac{1}{6}\times\dfrac{1}{6}=\dfrac{1}{36}

6

1

×

6

1

=

36

1

.

can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50

Answers

hope it helps!!!!!!!!!!!!!!!!!!!!!!

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