1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
murzikaleks [220]
2 years ago
15

Find the value of r so that the line through (8,r) and (4,5) has a slope of -4

Mathematics
1 answer:
Ratling [72]2 years ago
7 0

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = \frac{r-5}{8-4} = \frac{r-5}{4} = - 4 ( multiply both sides by 4 )

r - 5 = - 16 ( add 5 to both sides )

r = - 11

You might be interested in
WILL GIVE 11 POINTS How many solutions does the system have?
PSYCHO15rus [73]
There is one answer.  

The intersecting points are (0, 5) just for the extra if you graph them both.  
7 0
3 years ago
X^3 = 125 over 27 CAN I PLEASE GET HELP
Zinaida [17]
X³ = 125/27

Cube root both sides to isolate the variable:

∛x³ = ∛(125/27)

x = ∛(125/27)

∛125 = 5, ∛27 = 3

x = 5/3 
5 0
3 years ago
Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one
dalvyx [7]

Answer with Step-by-step explanation:

We are given that

f(x)=\frac{3x-1}{x}

For each real number x\neq 0

To prove that f is one -to-one.

Proof:Let x_1 and x_2 be any nonzero real numbers such that

f(x_1)=f(x_2)

By using the definition of f to rewrite the left hand side of this equation

f(x_1)=\frac{3x_1-1}{x_1}

Then, by using the definition of f to rewrite the right hand side of this equation  of f(x_1)=f(x_2)

f(x_2)=\frac{3x_2-1}{x_2}

Equating the expression then we get

\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}

3x_1x_2-x_2=3x_2x_1-x_1

3x_1x_2-3x_1x_2+x_1=x_2

x_1=x_2

Therefore, f is one-to-one.

6 0
3 years ago
In a race consisted of three parts for cycling part was 12 1/2 miles long the running part of the race was one for the distance
asambeis [7]
The disc of the entire race is 37 1/2
5 0
3 years ago
A a squirrel ran 9 miles in one hour. which expression can be used to determine its speed in miles per hour?
julsineya [31]

The unit rate is 9 miles per hour.

In order to find how much its unit rate will be you need to use this expression below.

<em>n = number of hours</em>

<em>m = number of miles </em>

m divided by n or <em>m/n</em>

In order to find how much does he travel in given hours see this below.

<em>n = number of hours</em>

<em>m = number of miles for 1 hour</em>

<em>nm or n * m</em>


5 0
3 years ago
Other questions:
  • Standard form............
    5·1 answer
  • What is the rule/output?
    5·2 answers
  • Put the following statements into order to prove that if 3n+4 is even then n is even. Put N next to the 3 statements that should
    6·1 answer
  • The chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the num
    7·1 answer
  • Can someone please answer this or explain it?
    13·1 answer
  • The area of a square rug can be represented by the expression of 100x²+60x+9.
    12·1 answer
  • A lamp is in sale, and it’s price is reduce from $80 to $50
    13·1 answer
  • Word problem
    7·1 answer
  • Which of the follong is the process of finding the factors of mathematical expression 2d²-8d​
    5·1 answer
  • Please help me find the y intercept! (show work)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!