The points (-1, r) and (4, 6) lie on a line with slope 3. Find the missing coordinate r.

Answers

Answer 1

Answer:

R = -9

Step-by-step explanation:

To solve the slope with two points, you would use the formula y2 - y1/x2 - x1. First, you would take the formula and sub in the values that you currently know.

6 - r/4 - (-1) = 3, 6 - r/5 = 3, 6 - r = 15, -r = 9, r = -9

Therefore, r = -9.


Related Questions

Find the slope of the line (2,-3) (4,-7)

Answers

hello!

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{-7-(-3)}{4-2} =\frac{-7+3}{2} =\frac{-4}{2} =\bigstar{\boxed{\pmb{-2}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Sientific notation (please help!)

Answers

√5

You know that √4 = 2

so √5 > 2

2.5 * 2.5 = 6.25,

√6.25 = 2.5

so √5 in between 2 & 2.5

2 < n < 2.5

π/3

π/3 ≈ 3.14/3

3/3 = 1

4.5/3 = 1.5

π is in between 3 & 4.5

1 < n < 1.5

√3

√2.25 = 1.5

√4 = 2

√3 is in between

1.5 < n < 2

Hope this helped!

Which expression is equivalent to y^4-400?

Answers

Answer: (2)

Step-by-step explanation:

Melissa deposits $5000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 2 years?

Answers

Answer:

$400 is the intrest she will pay in the first 2 yrs

Step-by-step explanation:

principal (p) = 5000

time (t) = 2yrs

rate (r) = 4%

Now,

Intrest(I) = p×t×r/100

= 5000×2×4/100

= 400$

State six ordered pairs for this function
f(x)=.5x+3

Answers

(0,3) - The y-int, after you can just add 5 to the y-coord for each added 1 to the x-coord.

(1,8)

(2,13)

(3,18)

(4,23)

(5,28)

A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 18 cm. cm2

Answers

Answer:

1,090

Step-by-step explanation:

Write the standard equation of the circle with the center ​(-14​,-5​) that passes through the point ​(​-7,​5).

Answers

equation: (x + 14)² + (y + 5)² = 149

Given:

centre :  ​(-14​,-5​)point ​(​-7,​5)

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

Formula's:

(x-h)² + (y-k)² = r²centre : (h, k)radius : rdistance between points : [tex]\sf \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Find the radius:

[tex]\rightarrow \sf \sqrt{(-7-(-14))^2 + (5-(-5))^2}[/tex]

[tex]\sf \rightarrow \sqrt{\left(-7+14\right)^2+\left(5+5\right)^2}[/tex]

[tex]\sf \rightarrow \sqrt{149}[/tex]

Equation of circle:

(x-h)² + (y-k)² = r²(x-(-14))² + (y-(-5))² = (√149)²(x + 14)² + (y + 5)² = 149

Graph for clarification:

Answer:

[tex]\sf (x+14)^2+(y+5)^2=149[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

[tex]\sf \implies (x-(-14))^2+(y-(-5))^2=r^2[/tex]

[tex]\sf \implies (x+14)^2+(y+5)^2=r^2[/tex]

Now substitute the point (-7, 5) into the equation to find r²:

[tex]\sf \implies ((-7)+14)^2+(5+5)^2=r^2[/tex]

[tex]\sf \implies (7)^2+(10)^2=r^2[/tex]

[tex]\sf \implies 149=r^2[/tex]

Final equation:

[tex]\sf (x+14)^2+(y+5)^2=149[/tex]

Which expression is equivalent to 1/²
Or³
o po
o 12
0,27

Answers

Answer:

[tex]r^6[/tex]

Step-by-step explanation:

Hello!

Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.

Simplify:

[tex]\frac{r^9}{r^3}[/tex][tex]r^{9-3}[/tex][tex]r^6[/tex]

The solution is [tex]r^6[/tex]

A fair dice is rolled.
Work out the probability of getting a number less than 6.
Give your answer in its simplest form

Answers

Answer: 5/6

Step-by-step explanation: If its a six sided die with numbers 1 - 6

A researcher is studying the growth of bacteria. He starts with 260 of the bacteria. It grows continuously at a rate of 1% per hour. How many bacteria will there be in 6 hours?​

Answers

[tex]\bold{ANSWER:}[/tex]
276.0775

[tex]\bold{EXPLANATIONS:}[/tex]

A movie is 9.75 seconds long.

Describe a situation related to this movie that could be a represented by the expression 9.75 / 2.5

Answers

Answer:

Step-by-step explanation: Maybe you could try:

A movie is 9.75 seconds long and each 2.5 seconds there is an ad so how many ads are there during the movie?

The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost

Answers

Answer:

$100 answers your question

Help Me with this please

Answers

Answer:

B) Δ+5

Step-by-step explanation:

Means that Austin has $5 more than Mark

Hope this helps

40 points for this question!!!

Answers

Answer:

Never

Step-by-step explanation:

It should be never since as the value of x increases, so does y.

If the y value increases as x increases, the function is said to be increasing.

If the y value decreases as x increases, the function is said to be decreasing.

Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?

Answers

If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.

Loan Oustanding balance

First step is to find the annual interest

Annual interest= $391.42 x 12

Annual interest= $4,697.04

Second step is to calculate the outstanding balance

Outstanding balance=Annual interest/Interest rate

Oustanding balance= $4,697.04/ 11½%,

Outstanding balance =$40,843.826

Outsatnding balance= $40,843.83 (Approximately)

Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.

Learn more about loan outstanding balance here:https://brainly.com/question/2279877

Solve the system of equations.​
−4x+3y=−2
y=x−1​

Answers

(-1,-2)

x= -1

y= -2

Have a wonderful day :)

Hope this helps ....... :))))

can someone help me with this please

Answers

Answer:

perspective

I hope this helps you

:)

Use the quadratic formula to solve for x.
3x2 + 2x - 6 = 0

Answers

Answer:

x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 2 x - 6 = 0

Using the quadratic formula, solve for x.

x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:

x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6

Simplify radicals.

sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):

x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).

Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):

x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:

x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).

Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):

x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))

In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:

Answer:  x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

please help me Find m

Answers

Answer: 70 degrees

Step-by-step explanation:

Simplify the expression with nested parentheses.
4 30+ 26+6 −33

Answers

Answer:

not sure if the 4 is seperate but if it is then (30+26)+(6-33)

Step-by-step explanation:

please help i will give brainliest

Answers

Answer:

[D] 1/14

Step-by-step explanation:

Given that:

What is the probability of picking an orange marble and flipping tails?

Solution:

First let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.

Now multiply both together:

(1/7)× (1/2) = (1×1)/(7×2) = 1/14

This represents the probability of getting an orange marble and flipping tails.

In additionally 1/14 can't be simplify anymore.

Kavinsky

Answer:

[D] 1/14

Step-by-step explanation:

Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.

Which the probability is 1/7

Now for the coin.

Knowing that there are two sides on a coin

Heads and tails (1/2)

Which is only 1/2 also known as 50% probability.

Now multiply straight across:

1/2 × 1/7

⇒ 1 × 1 = 1

⇒ 2 × 7 = 14

Thus, the answer is 1/14

can't be farther simplify.

[RevyBreeze]

Which expression is equivalent to 4/5x + 1 4/5
A 1/5(4x +1)
B 2/5(2x + 3)
C 4/5 (x + 2)
D 5/4 (x + 1)

Answers

There is none, but the closest is C.

It should be: 4/5( x + 2.25)

4/5 x x = 4/5x

4/5 x 2.25 = 9/5 (or 1 4/5)

(4 x? = 9) ==> 2.25

Step-by-step explanation:

A) 4/5 x + 1/5

B) 4/5x + 6/5 (or 1 1/5)

C) 4/5x + 8/5 (or 1 3/5)

D) 5/4 x + 5/4 (or 1 1/4)

Hope this helps!

2x+3y=8 find the solution using addition elimination method

Answers

Answer:

X equals 1, and Y equals 2

First, find the value of 2x, we have to assign one to make the problem work.

[tex]2x = 2 * 1[/tex]

Now, find y.

[tex]3y = 3 * 2[/tex]

Find the results of the multiplication. Remember that anything times 1 is always the same number, the base number.

[tex]2 * 1 = 2[/tex]

[tex]3 * 2 = 6[/tex]

Now, add.

[tex]6 + 2 = 8[/tex]

________________________________________________________

Now, we go over what we learned.

________________________________________________________

What have we learned?

We learned how to make inequalities true by assigning values to substitutions.

Questions related to this topic? Ask me in the comments box.

A bookstore has 120 science fiction books. It has 30% fewer mysteries than science
fiction books. It has 25% more biographies than mysteries. How many biographies
are in the bookstore? Show your work.

Answers

Answer:

105

Step-by-step explanation:

Explanation is in photo

3. Suppose a retail business sale its commodities at a margin of 25% on all items purchased and sold. Moreover the company uses 5% commission as selling expense and Birr 12,000 as a Fixed Cost, then Find the Breakeven revenue for the retail business after developing the equation ​

Answers

The Breakeven revenue for the retail business is Birr 12,500

What is breakeven?

Breakeven is the point at which the revenue is equals to the cost, hence the profit is zero.

Revenue = Cost

Let x represent the number of items sold, hence:

Revenue = (100% + 25%) of x = 1.25x

Cost = 5% of x + 12000 = 0.05x + 12000

At breakeven:

1.25x = 0.05x + 12000

x = 10000

Hence:

Revenue = 1.25(10000) = Birr 12,500

The Breakeven revenue for the retail business is Birr 12,500

Find out more on breakeven at: https://brainly.com/question/9212451

CAN SOMEBODY SOLVE EQUATION IM LOST

Answers

Answer:

2

- x  -1

3  

Step-by-step explanation:

A new computer repair company offers house calls to their customers. They use the function f(h) = 45h + 80 to calculate the total repair bill, f(h), for h number of hours worked. A. What does 45 represent in the function? < B. What does 80 represent in the function? > C. Find h if f(h) = 215. What does this value of h mean in the context of the problem? <​

Answers

The function f(h) = 45h + 80  of the computer repair is a linear function

45 represents the hourly rate80 represents the base costThe value of h means 3 hours

What 45 and 80 represents?

A linear function is represented as:

f(h) = mh + c

Where:

m represents the rate; m = 45b represents the base cost or y-intercept; y = 80

By comparison;

45 represents the hourly rate and 80 represents the base cost

How to calculate h?

We have:

f(h) = 45h + 80  

When f(h) = 215, the function becomes

45h + 80 = 215

Subtract 80 from both sides

45h = 135

Divide both sides by 45

h = 3

Hence, the value of h means 3 hours

Read more about linear functions at:

https://brainly.com/question/15602982

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Ok I see it

Angle MKP is 95° because
120-25= 95
And it’s obtuse because 95 is greater than 90

Hope this helps :)

What is the limit on the number of members in a limited liability company? There is no limit to the number of members in a limited liability company.

Answers

Hmm that is a weird question is it already ans

Easy math 2 questions

Answers

I only know question 1: 8 inches.

Also, don't delete this.

It's helpful to certain people with the same problem.

Answer:

For problem 11, Q is 16 degrees

For problem 12 I think it is 8 inches

Step-by-step explanation:

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