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
mrs_skeptik [129]
3 years ago
10

Find the equation of straight line passing through the points (a,0) and (0,b). If the point (1,1) lies on the equation, prove th

at
1/a + 1/b =1​
Mathematics
2 answers:
Dmitry [639]3 years ago
7 0

Answer:

step by step

Step-by-step explanation:

Line passing (a,0) (0,b)

slope = (y2 - y1) / (x2 - x1) = - b/a

pass (0,b), y interception: b

Line: y = -b/a * x + b  

pass(1,1) y=1, x=1

1 = -b/a + b  

1/b = (-b/a) /b + b/b

1/b = -1/a + 1

1/a + 1/b = 1  

vladimir2022 [97]3 years ago
3 0

Answer:

do the following

Step-by-step explanation:

the question says that the line is passing thur the point 1,1 ... so when x = 1 so does y ... also  when  x= a.. then y=0 and when y=b then x =0  .. and this is a straight line... also  1/a + 1/b = 1

if you were to draw on a graph... this .. you would see that when b=2  then x=0 and also when a=2.. then y = 0  ....

and 1/2 + 1/2 =1

so that's the line.... draw in just roughly.... you'll see... then what is the equation of that line.. usually we would use  the slope intercept formula for the equations.. there are more than one way to show the line.. is my point.. but.. if we use  y = mx + b  where m = -1   and b = 2 then...

y= - x+2

That answer got long.. sorry :/

You might be interested in
A boat travels at a constant speed. After 20 minutes, the boat has traveled 2.5 miles. The boat travels a total of 10 miles to a
monitta
In order to find the speed at which the boat is traveling, we divide the distance it has traveled by the time elapsed:

2.5/20=0.125 miles/minute

Next, we want to find how long it took for the boat to travel 10 miles. Since it travels 0.125 miles every minute, we just divide:

10/0.125=80

Thus, it took 80 minutes for the boat to reach the bridge
6 0
3 years ago
Please help what is cm? Will mark BRAINLIEST ASAP!!
aalyn [17]

Answer:

8.7 cm squared.  Hope this helps.

5 0
3 years ago
Read 2 more answers
Numbers 43 and 44 can I help with them
Genrish500 [490]
D and a is the answer I'm pretty sure. Hope this helps!
7 0
3 years ago
Read 2 more answers
Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)​
mario62 [17]

Answer:

(f + g)(- 2) = 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= x - 3 + x² - x

= x² - 3

Thus

(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1

3 0
3 years ago
Help please. show work
shtirl [24]
Sine law to find angle R

\displaystyle \frac{\sin R}{122}= \frac{\sin 64}{187.5} \\ \\
\sin R =  \frac{122\sin 64}{187.5} \\ \\
R = \sin^{-1} \left[ \frac{122\sin 64}{187.5} \right] \\  \\
R \approx 35.7899447211

All angles in triangle add to 180 so we can find angle P

P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789

sine law with angle P to find length of RQ

\displaystyle
\frac{RQ}{\sin P} = \frac{187.5}{\sin 64} \\ \\
RQ = \frac{187.5\sin P}{\sin 64}  \\ \\
RQ = \frac{187.5\sin 80.2100552789}{\sin 64}  \\ \\
RQ = 205.57

or use cosine law

RQ = \sqrt{187.5^2 + 122^2 - 2(187.5)(122) \cos80.2100552789} \\ RQ \approx 205.57

either way the answer is 205.57 feet
4 0
3 years ago
Other questions:
  • Complete the identity. sin4x - cos4x = ?
    5·2 answers
  • Choose all the doubles facts that can help you solve 8+7
    15·2 answers
  • Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x
    8·2 answers
  • 1100 divided 40 long division
    12·1 answer
  • The answer to an addition problem is called a
    5·2 answers
  • Solve for all values of x<br> logx+4(3x2 – 4x + 2) = 2
    8·1 answer
  • Write two and forty-two thousandths in decimal notation.<br> please please
    8·2 answers
  • 0) Craig buys a ring for $500. He sells it for $750.
    6·2 answers
  • Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the five observations (to 2 decimal
    9·1 answer
  • Which expression represents the correct form of the partial fraction decomposition of StartFraction 19 x + 20 Over x squared min
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!