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 that
1/a + 1/b =1​

Answers

Answer 1

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 :/

Answer 2

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  


Related Questions

The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x

Answers

Answer:   2/9

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

Explanation:

The equation y = (2/9)x is in the form y = kx

In this case, k = 2/9.

The value of k is the constant of proportionality.

All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.

7 × (-5) is equivalent to?
2
-35
35
-12

Answers

Answer:-35

Step-by-step explanation: 7x5 = 35, but since the 5 is a negative it’s -35

Answer:

-35

Step-by-step explanation:

whenever multiplying positive and negative integers, if one of the factors are negative, then the answer will be negative. if both are negative, the answer becomes a positive, and if both are positive, the answers stays positive.

in this case 7 is positive and 5 is negative so  your anwers is -35

hope i helped!

:)


PLS help ASAP thank you

Answers

Answer: they are not similar

Step-by-step explanation:

there will no be no steps

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John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?

thx for haplin me!! :)

Answers

Question:

Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.

How much more money did she save than spend this week?

Answer:

none. i better be right or else im  jumping off my roof

PLEASE HELP!!!
The ratios 12:24, 15:30, and 18:36 form a pattern of equivalent ratios in the multiplication table below.

A multiplication table.

Which method can find other equivalent ratios for this pattern?
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Multiply 2 and 8 by the same factor, and write the products as a ratio.
Multiply 4 and 6 by the same factor, and write the products as a ratio.
Multiply 1 and 8 by the same factor, and write the products as a ratio.

Answers

Answer:

A

Step-by-step explanation:

Trust me on this.

Can I have brainlest, also I hope you do well!

Answer:

Multiply 3 and 6 by the same factor, and write the products as a ratio.

Step-by-step explanation:

because i have dun it

Are 5 and 0.5 Equal to Each other?

Answers

Answer:

no

Step-by-step explanation:

5 is a whole number 0.5 doesn't equal to 1 it is half of 1

No it is not equal one is in the tenths place

Help please:):):):):):)

Answers

do eat popcorn in a tub

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poopy face

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Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS

Answers

The answer is actually A. HL

The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.

Option A is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

We see that,

ΔBDA and ΔDBC are both right triangles.

Now,

DC = AB (hypotenuse) (given)

DB = DB ( Common sides )

CB = DA ( Remaining side of the right triangle )

ΔBDA ≅ ΔDBC

Proved by HL.

Thus,

The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

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What is 1.33 x 10^6 in scientific notation?

Answers

1,330,000
I tried-
Lmk.

6th grade math i mark as brainliest​

Answers

The variable is U and the coefficient is 7.6

Shakespeare wrote 38 plays: 16 comedies, 12 tragedies, and 10 histories. What is the ratio of comedies to the number of plays? (express in simplest form - that means reduce the fraction)

Answers

Answer:

8/19

Step-by-step explanation:

.....................................

If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n

Answers

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Diameter: d = 2rArea of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]:                    30 m = 2rIsolate r:                             15 m = rRewrite:                              r = 15 mSubstitute [AC]:                 A = π(15 m)²Rearrange:                        A = 15²π

HELP 60 PTS Write ln⁡〖(a^2 b^3)/cd〗 in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.

Answers

Answer:

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

Step-by-step explanation:

[tex]\frac{a^{2} * b^{3}}{cd}[/tex]

A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.

This means that the fraction above could also be expressed as;

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.

Easy question? Please help I’ll give brainliest! :( Please provide small explanation like instructions it’s okay if not though

Answers

Answer: Ok so what i'v got for this one is that i averaged up all three numbers and i got an average of about 85%. Now you have to put in a fourth number which will actually be another 80% i believe

Step-by-step explanation: add up all 3 divide them all by the numbers then once your done with that plug in the 80% and see what your answer will be.

help please if you know the answer

Answers

Answer:D

Step-by-step explanation:

I don't understand. ​

Answers

Answer:

Addition property of equality.

Step-by-step explanation:

You are adding something to both sides of the equation.

Answer:

Addition property of equality

Step-by-step explanation:

PLS HELP! ILL MARK BRAINIEST! what is the x and y intercept for this equation?

Answers

x int: (-2, 0) y int: (0,4)

What value of x is in the solution set of 8x - 6 > 12 + 2x?
0 -1
оо
0 3
O 5

Answers

Answer:

3 is the correct answer

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

              8*x-6-(12+2*x)>0

         

            6x - 18  =   6 • (x - 3)

The value of the inequality is x > 3 , which is 5

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

8x - 6 > 12 + 2x

Subtracting 2x on both sides , we get

6x - 6 > 12

Adding 6 on both sides , we get

6x > 18

Divide by 3 on both sides , we get

x > 3

So , the value of x is numbers greater than 3

Hence , the inequality is x > 3

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How much change from a $50 bill would you receive if you bought
items costing $13.95, $6.08, and $24.35?

Answers

Answer:

$5.62

Step-by-step explanation:

Add all of the cost of the items and then deduct that answer from 50.

Answer:

$5.62

Step-by-step explanation:

50−(13.95+6.08+24.35)

=50−(20.03+24.35)

=50−44.38

=5.62

Need the answer asap!

Answers

Answer:

--> (-7)+3 = -4

--> (-5) +1=-4

-->(-3)+(-1)=-4

Answer:

(x+3)x(x-2)

Step-by-step explanation:

WHOEVERY ANSWERS RIGHT IT GETS BRAINIST

Answers

Answer:

It is (0,6)

Step-by-step explanation:

Find the x intercept, substitute 0 for y and slove for x

find the y intercept, substitue 0 for x and solve for y

the answer is c (0,6)

Simplify
2x( x^3-3x^2+5x-8)

Answers

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

what is an equation for the line that passes through the points (-2,3), and (2,1)

Answers

Answer:

yes

Step-by-step explanation:

no

What is the least common Denominator for 29/40

Answers

Answer:

You need to know the least common denominator (LCD) of 40 and 29 if you want to add or subtract two fractions with 40 and 29 as denominators. The least common denominator, also called lowest common denominator (LCD), of 40 and 29 is 1160 .

Step-by-step explanation: hope this helps

Help me and I’ll give brainliest to u

Answers

Answer:

7p

Step-by-step explanation:

Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.

Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!

What is the value of X

Answers

Answer:

The value of x is 15

Step-by-step explanation:

If a line intersected two parallel lines, then some pairs of angles are formed

Alternate interior angles, equal in measuresAlternate exterior angles, equal in measuresCorresponding angles, equal in measuresAdjacent interior angles, the sum of their measures is 180°

In the given figure

∵ There are two parallel lines intersected by another line

The angles of measures (4x + 2) and 62° are alternate interior angles

∴ Alternate interior angles are equal in measures

4x + 2 = 62

→ Subtract 2 from both sides

∵ 4x + 2 - 2 = 62 - 2

4x = 60

→ Divide both sides by 4

x = 15

The value of x is 15

Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16+, where t is time in seconds. The height of a certain tower is 1092 feet. How long would it
take an object to fall to the ground from the top of the building?
seconds
(Round to two decimal places as needed.)

Answers

Answer:

I don't really know it but good luck!

Please help I’ll give you brainliest uwu

The ratio of gas cars to
hybrid cars in the
school parking lot is 15:4. There are 12
hybrid cars in the parking lot. How many
gas cars are in the parking lot?

Answers

Answer:

I think the answer is 45

Solve the system of equations using elimination.
3x-2y=5
x+2y=3

Answers

Answer:

x = 2

y = 1/2

Step-by-step explanation:

3x - 2y = 5

x + 2y = 3

We don't have to mutiply anything because we have values that we can eliminate.-2y and 2y can be crossed off becuase they have the same value and plus and minus cancel out. We can add instead of changing the signs.

4x = 8

x = 2

Now we know that x = 2. To find y we have to plug in x into one of the equations. I am going to use x + 2y = 3.

2 + 2y = 3

2y = 1

y = 1/2

Now we figured out y. I hope I helped!

helpp meee pleaseeee​

Answers

Answer:

I think its b:/ srry if I'm wrong

identification method
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