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

do anybody know the answer​

Answers

Answer:

A) 36

Step-by-step explanation:

So first we calculate the perimeter of the triangles. I can tell right away that it is a 3-4-5 triangle, so add 3+5+3+5=16 (not 4, since that is not on the outside). Then add the perimeter of the long side of the rectangle, so 10+10, then add to 16, so 36.

So in an atom, are there the same number of protons as electrons??? If so, then how are some electrons and protons negative and positive. And also, what is the net charge??

***IK that this isn't a math question but no one answers in science . . .

Answers

Answer:

If an atom has the same number of protons and electrons then it is electrically neutral. Not all atoms have to have the same number of atoms because the number of electrons can be changed with the element remaining the same. Protons have a positive charge while electrons have a negative charge. The net charge is dependent on the number of protons and electrons. If it has more protons it would have a higher amount of positive charge therefore making it a positive net charge. The same thing applies with electrons just opposite.

If the atom has no charge (neutral) then there are the same number of protons and electrons. The positive protons cancel out with the negative electrons to produce this neutral state. We can say the net charge is 0 here.

Now if you take away one or more electrons, then there will be more positive protons to outnumber the negative electrons. Overall, the net charge will be positive. For example, if the atom loses 3 electrons, then you'll have a net charge of [tex]3^{+}[/tex]. These positively charged ions are known as cations. You pronounce this as "cat-ion" instead of "catshun".

On the flip side, if you add electrons to an atom, then you'll make the net charge overall to be negative. So let's say we add 4 electrons. We'll have the net charge be [tex]4^{-}[/tex] and this is an anion. To pronounce "anion" you would say "an ion" instead of "anyun".

cation = positively charged ion (less electrons compared to protons)anion = negatively charged ion (more electrons compared to protons)

---------------

In short, the number of protons and electrons are the same if the net charge is 0 and we're not dealing with ions. If you are dealing with ions, then the two counts will not be the same. Note how in the examples above, I didn't change the number of protons. Doing so would change the overall element entirely.

20. The Sanchez family wants to rent a boat for fall break.
Grand Canyon Boat Rental's is offering a boat for $25
per day and a $90 non-refundable deposit.
Superstition Boat's is offering a boat for $40 per day
and a $35 non-refundable deposit.
If the Sanchez family is planning on renting the boat for 6
days which company should they choose?

Answers

Answer:

superstition boat's

Step-by-step explanation:

25 x 6 + 90=240

40 x 6 + 35=275

Mary Catherine makes 2 gallons of punch for her party. How many quarts of punch did she make?

Answers

Answer:

8

Step-by-step explanation:

1 gallon equals 4 quarts so 4*2=8

ASAP plz help me with this

Answers

Answer:

6

Step-by-step explanation:

Given this number line, DB = [?]

13 - 11 = x

11 - v = 7

13 - 11 = 2

2 = x

11 - v = 7

7 + 4 = 11

4 = v

v + x = ?

2 + 4 = 6

Given this number line, DB = [6]

is this set of ordered pairs a function ?
{ (6,1) (9,2) (6,8) (9,7) (8,3)}

Answers

Answer:

nope always remember if the x's are the same its not a function :)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

x has y

6 has 1  and later said

6 has 8

this could not happen in a function

DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.

Answers

Answer:

If you're on edge and it's the multiple choice one it would be a

In the diagram below AC is parallel to rp:
How many units? please help!

Answers

The perimeter of the triangle ABC will be 54 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In the diagram, AC is parallel to RP.

Then the triangle ABC and RBP will be similar.

Then the ratio of the corresponding sides will be constant.

BP / 10 = 7 / 14

      BP = 5

Then the perimeter of the triangle ABC will be

Perimeter = 7 + 14 + 18 + 10 + 5

Perimeter = 54 units

More about the triangle link is given below.

https://brainly.com/question/25813512

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if rectangle one side is 8 times longer than the other then how long is all of the rectangle sides if rectangle perimeter is 270cm.
shorter side is -
longer side is -

Answers

long side-120
short-15
(8x2)+(1x2)=18 for the sides
270/18=15
long side 15x8

Please help!!!!! will mark brainliest

Answers

Answer:

It should be B- an=3n+1 because it seems to be adding one every time

Step-by-step explanation:

Answer:

We will count number of squares

first term is 4

so,

second term is 7

so,

third term is 10

so,

We can see that this sequence is in arithematic sequence

we can use nth term formula

where

an is nth terms

a1 is first term

d is common difference

n is total number of terms

now, we can plug values

and we get

b 3n+1

Step-by-step explanation:

1.
I
Select all the true statements.
I
Dilations always increase the length of line segments.
B.
Dilations of an angle are congruent to the original angle.
C.
Dilations increase the measure of angles.
D.
Dilations of a triangle are congruent to the original triangle.
E.
Dilations of a triangle are similar to the original triangle.

Answers

Answer:

E

Step-by-step explanation:

Johnny ran 18.28 meters in a football game. How many yards did he run?

Answers

Answer:

19.991251 yards

Step-by-step explanation:

Answer:19.69 yards

Step-by-step explanation:

I asked Siri nah I’m kiddin if one meter is about .91 meters you just have to add .91 to. 18.28

A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.

(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.

(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?

(C) What is the expected number of eggs with rocks that Natasha will have in her basket?

Answers

Answer:

[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]

There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.

p

+

q

=

1

. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability

p

=

0.6

. Then,

q

=

0.4

. This means that for every true-false statistics question Joe answers, his probability of success

(

p

=

0.6

)

and his probability of failure

(

q

=

0.4

)

remain the same.

The outcomes of a binomial experiment fit a binomial probability distribution. The random variable

X

=

the number of successes obtained in the n independent trials.

The mean,

μ

, and variance,

σ

2

, for the binomial probability distribution are

μ

=

n

p

and

σ

2

=

n

p

q

. The standard deviation,

σ

, is then

σ

=

n

p

q

.

Any experiment that has characteristics two and three and where

n

=

1

is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.

What is the constant in the following expression? -8x^2+17y+19

Answers

Answer:

(x + 2) • (x - 19)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -38 = -38

Step-2 : Find two factors of  -38  whose sum equals the coefficient of the middle term, which is   -17 .

     -38    +    1    =    -37

     -19    +    2    =    -17    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -19  and  2

                    x2 - 19x + 2x - 38

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-19)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-19)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-19)

            Which is the desired factorization

Which of the following would produce a graph that is the reflection of f(x)= (x−3)2−4 across the x-axis?

Answers

Answer:

c took the quiz on edge 2020

Answer:

[tex]x2 - 6x + 5[/tex]

Step-by-step explanation:

The function f(x) = (x-3)^2 - 4

This can be written as ;

(x-3)(x-3) -4

x(x-3)-3(x-3)-4

[tex]x2 - 3x - 3x + 9 - 4 [/tex]

4x-5y=0
8x+5y=-60
what is the answer by substitution or elimination?

Answers

The answer is -5, -5 added by 5 cancels each other out. Then when you add 4x + 8x, you get 12x. So when you do 12x= -60, you get -5.

Gina will pay $14 for the
fabric at a craft store. The tax rate is 8.5%. How much will she pay for her fabric including tax?

Answers

Answer:

$15.19

Hope this helped!

Step-by-step explanation:

Write an equation

8.5% of 14 =

Convert percent into decimal:

8.5% = 0.085

"Of" means to multiply so multiply 0.085 to 14

0.085 x 14 = $1.19

14 + 1.19 = 15.19

Helppp I’ll make u a brainlister

Answers

Answer:

108 deg

Step-by-step explanation:

Since sides DB and CD are congruent, then opposite angles are congruent.

m<C = m<B = 36

m<B + m<C + m<D = 180

36 + 36 + m<D = 180

m<D = 108

2. A pizza restaurant charges y amount for a pizza based on the x number of toppings you select. What
does the slope and the y-intercept tell you about the price of the pizzas using this equation: y = 1.50x +
7.50
Write answer here
3. A linear model is given by y = 1.3x + 15, where x is the number of seconds that a person is riding a

Answers

Answer:

slope should be 1.50x and your y-intercept should be 7.50

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one toppin.

Answers

they got sold by her

Step-by-step explanation:

lol she sold her apples to people

can you please answer the question tyy

Answers

Answer:

Step-by-step explanation:

What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.

What is the volume of the prism

Answers

The volume of the prism is 72

How to calculate the volume of the prism?

The height of the prism is 3 ft

The base of the prism is 24 square feet

The formula for volume of a prism is base multiplied by the height

Volume= base × height

= 3 × 24

= 72

Hence the volume of the prism is 72

Read more on volume here
https://brainly.com/question/30595681

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Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?

Answers

Answer:

See Below

Step-by-step explanation:

Total no of students = 24

No of boys = 10

So, no of girls = 24 - 10 = 14

Ratio of boys to girls = 10/14 = 5/7 = 5 : 7

So the ratio of boys to girls should be 5 : 7 and not 5 : 12

Graph f( x)3/2 x= x+2​

Answers

Answer:

I don't believe there is a slope or y-intercept for this expression.

Step-by-step explanation:

There is no vertical, horizontal or oblique asymptotes that I have found.

I hope this somewhat helped to answer your question.

find the slope of a line that intersects the points (-2,6) and (4,-4)


hurry i’ll give 20 points

Answers


First find the slope of the line connecting these two points:
6-5
m = ------------ = -1/2
-4+2
Substitute this slope into y = mx + b: y = (-1/2)x + b.
Next, subst. 5 for y and -2 for x, and find b:
5 = (-1/2)(-2) + b, or 5-1=b. Then b = 4, and
the equation of the line is y = (-1/2)x + 4.

10 flowers in 5 vases = ? flowers per vase

Answers

Answer:

there are 2 in each vase

Answer:

2 flowers per vase

Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?

Answers

Answer:

Jonathan's mean score is:

(87+93+85+62+95)/5

=422/5

=84.4

Evaluate the following using a nmber line:-4+-5+3​

Answers

Answer:

-6

Step-by-step explanation:

-4+-5=-9

-9+3=-6

33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))

Answers

Given:

[tex]d(t)=80t[/tex]

[tex]C(d)=0.09d[/tex]

To find:

The value of [tex]C(d(10))[/tex].

Solution:

We have,

[tex]C(d(10))=C(80(10))[/tex]           [tex][\because d(t)=80t][/tex]

[tex]C(d(10))=C(800)[/tex]

Now,

[tex]C(d(10))=0.09(800)[/tex]           [tex][\because C(d)=0.09d][/tex]

[tex]C(d(10))=72[/tex]

Therefore, the value of [tex]C(d(10))[/tex] is 72.

I need help!! ASAP!!

Answers

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

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