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
Annette [7]
3 years ago
10

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

<u>Answer:</u>

  • Slope = 27/11
  • AB = 29.15 u

<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
  • The points are A(7,15) and B(18,42)

<u>To Find</u> :-

  • The slope of the line .
  • The length of line AB .

We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

You might be interested in
I need help!!!!
Alexxx [7]

Answer:

i gotchu. 90 degree clockwise rotation

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Help!!<br> f (x) =-3x+25; Find f(x)=52
melamori03 [73]
<h3>Solution for -3x+25=52 equation:</h3>

Simplifying

-3x + 25 = 52

Reorder the terms:

25 + -3x = 52

Solving

25 + -3x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.

25 + -25 + -3x = 52 + -25

Combine like terms: 25 + -25 = 0

0 + -3x = 52 + -25

-3x = 52 + -25

Combine like terms: 52 + -25 = 27

-3x = 27

Divide each side by '-3'.

x = -9

Simplifying

x = -9

4 0
2 years ago
What is the range of f(x)=(3/4)^x - 4 a.{y|y &gt; -4} b.{y|y&gt;3/4} c.{y|y&lt;- 4} d.{y|y/4}
Vanyuwa [196]
3/4 *x-4
3/4 x 3/4 x 3/4 x 3/4
3 13/81

8 0
2 years ago
Someone help me please and thank you!! ASAP :(
pantera1 [17]
<h3>Answer: Choice D) </h3>

Work Shown:

(f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\

We must require that x \ne -12 and x \ne 3 to avoid having 0 in the denominator. This is why choice D is the answer.

3 0
3 years ago
Antonio had his hair cut at the salon. After he returned home, he realized he had accidentally tipped the stylist 114% of the co
stepan [7]
=>C

1.14*20.95=23.883
5 0
3 years ago
Other questions:
  • F(1) = 1² +21<br> g(t) = 41-3<br> Find f(t) + g(t)
    5·1 answer
  • The price of a certain new car increases by the same amount each year. The first year it was ​$24,000 and in the 5th year it was
    6·1 answer
  • Solve each equation for x over the set of real numbers.<br><br> 3x+5/(x-1)(x^4+7)
    13·1 answer
  • Pls help hw came late and i dont want a detention
    14·2 answers
  • Given:
    11·2 answers
  • What is the value of n in the equation below?
    8·1 answer
  • Write the equation of the line passing through the points (-7,4) and (7,2).​
    8·1 answer
  • HELP ALGEBRA HELP ASAP MATH
    10·1 answer
  • I NEED HELP ASAP PLEASEE!!!
    10·1 answer
  • Word problem on unit rates associated with ratios of whole...
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!