The straight line ax+by=1passes through the points (1,4)and (3,1).Find the values of a and b?

Answers

Answer 1

Answer:

a= 3/11

b = 2/11

Step-by-step explanation:

a(1) + b(4) = 1

a + 4b = 1

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

b = 1-3(3/11)

b= 2/11

Answer 2

The value of a and b are 3/11 and 2/11 respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that the straight line ax+by=1 passes through the points (1,4)and (3,1).

Thus, the equation of the straight line passing through the point ( 3,1 )

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

Thus, the equation of the straight line passing through the point(1,4)

a(1) + b(4) = 1

a + 4b = 1

Now substitute the value of b;

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

Then b = 1-3(3/11)

b= 2/11

Hence, the value of a and b are 3/11 and 2/11 respectively.

Learn more about equations here;

https://brainly.com/question/25180086

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Related Questions

the ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were 450 more students than adults at the prom. If the school is expecting the same attendance this year, how many adults have to attend the prom

Answers

Answer:

about 48 adults , because you have to divide the 477 by 10

Step-by-step explanation:

I got this question on my test and i chose this and i got it right.

I hope this helps!! :)

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Select one:
O a. 23
O b. 34
O c. 35
O d. 40

Answers

Answer:

34343434343434343434

fill in the dimensions and angle measures . Are the dashed segments parallel ?

Answers

Answer:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.

(b) Four of the interior angles of a 12 sided polygon are each x °. The other angles are 2xº each. Calculate the value of x.​

Answers

Answer:

Step-by-step explanation:

Sum of all the angles of 12 sided polygon= (n -2)*180

   = (12 - 2 )*180 = 10 * 180 = 1800

Four interior angle each of xº +  8 interior angles each of 2xº = 1800

4*x  + 8*2x = 1800

4x + 16x = 1800

20x = 1800

x = 1800/20

x = 90°

Answer:

x = 90

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 12 , then

sum = 180° × 10 = 1800

There are 12 interior angles

Given 4 are x, then 8 are 2x , so

4x + 8(2x) = 1800

4x + 16x = 1800

20x = 1800 ( divide both sides by 20 )

x = 90

Is it possible to draw a triangle with these measurements 90, 60, 60

Answers

Answer:

it is possible to draw a triangle with angles 90 degree, 60degree and again 60 degree

what is a example of the reflexive property.​

Answers

Answer: 3 is equal to 3

Explaination: We all have learned that reflexive property of equality means that anything is equal to itself. So, this property tells us that anything is equal to itself.

Solve the x 2/3x +5 1/2 = -10

Answers

Answer:

x = 2/3x + 5 1/2 = -10 = x = -93/4

Step-by-step explanation:

Which point represents the opposite of -2?
A B C D
5 3 2 0 1 2 3 4 5
ОА
ОВ
ОС
OD

Answers

Answer:

your answer is point D represent

The reduce feature on a copy machine is set
at 84%. The picture being copied is 4.5
inches wide. What will be the width of the
reduced picture?

5.35 in.
2.9 in.
3.78 in.
0.72 in.

Answers

Answer:

c) 3.78

Step-by-step explanation:

what 4 numbers under 10 equals the product 2016

Answers

Answer:

4, 7, 8 and 9.

(4)(7)(8)(9)

= 4 × 7 × 8 × 9

= 2016

Verify it on a calculator for your satisfaction ☺

Hope that helps...

4x7x8x9 there you go

I'm checking behind myself. Can you answer this?

Answers

Answer:

9

Step-by-step explanation:

6x - 3 + 3x = 60 + 2x

Combine like terms:

6x - 3 + 3x = 60 + 2x

9x - 3 = 60 + 2x

-2x                -2x

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

    7x - 3 = 60

         +3    +3

    ------------------

         7x = 63

        -----   -----

          7       7

            x = 9

Hope this helped.

Answer:

9

Step-by-step explanation:

to solve this equation you first have to group the like terms

6x-3+3x=60+2x

6x+3x-2x=60+3

7x=63

then you divide both sides by 7 inorder to remain with the variable x on one side

7x/7=63/7

x=9

I hope this helps

Write 0.2¯¯¯ as a fraction in simplest form.

Answers

Answer:

1/5

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

[tex] \frac{1}{5} [/tex]

Step-by-step explanation:

0.2=

[tex] \frac{2}{10 } = \frac{1}{5} [/tex]

B is between A and C, BC=38, and AC=42. Find AB
help please!

Answers

Answer:

AB = 4

Step-by-step explanation:

AB + BC = AC

Substitute the line segments for their given values:

AB + 38 = 42

Subtract both sides by 38:

AB = 42 - 38

AB = 4

Check your work:

4 + 38 = 42

42 = 42

Correct!

if 2y-5x+10=0, find.
(i)y, when x=2
(ii)x, when y=5​

Answers

Answer:

When x = 2, y = 0When y = 5, x = 4

Step-by-step explanation:

PART I: Value of y, when x = 2

Given information

x = 2

Given expression

2y - 5x + 10 = 0

Substitute values into the expression

2y - 5(2) + 10 = 0

Simplify by multiplication

2y - 10 + 10 = 0

2y = 0

Divide 2 on both sides

2y / 2 = 0 / 2

[tex]\boxed{y=0}[/tex]

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

PART II: Value of x, when y = 5

Given information

y = 5

Given expression

2y - 5x + 10 = 0

Substitute values into the expression

2(5) - 5x + 10 = 0

Simplify by multiplication

10 - 5x + 10 = 0

20 - 5x = 0

Add 5x on both sides

20 - 5x + 5x = 0 + 5x

20 = 5x

Divide 5 on both sides

20 / 5 = 5x / 5

[tex]\boxed{x=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(i) x = 2

Substituting value in the equation,

2y - 5(2) + 10 = 0

2y - 10 + 10 = 0

2y = 0

y = 0

(ii) y = 5

Substituting value in the equation,

2(5) - 5x + 10 = 0

10 - 5x + 10 = 0

20 - 5x = 0

20 = 5x

5x = 20

x = 20/5

x = 4

Write the linear equation of the line that passes through the points (4,-5) and (-6,5)

Answers

Answer:

y = -x -1

Brainliest, please!

Step-by-step explanation:

(4, -5)(-6, 5)

y = mx + b

m = slope, b = y-intercept

m = 10/-10

m = -1

y = -1x + b

We can plug in (4, -5):

-5 = -1(4) + b

-5 = -4 + b

b = -1

y = -x - 1

1. How much interest
will Hannah earn in 4 years if she
deposits $630 in a savings account at
6.5% simple interest?

Answers

Answer:

$163.8 more.

Step-by-step explanation:

Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.

Point R is on line segment QS

. Given QR=3x−8, QS=3x, and RS=2x, determine the numerical length of RS .

Answers

Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

[tex]0.2(10-5c) = 5c - 16[/tex]

Solve for c,...
Thanks,...

Answers

We are given,

[tex] \longrightarrow 0.2(10 - 5c) = 5c - 16 [/tex]

Solving the parenthesis

[tex]{ \longrightarrow 0.2 \times 10 - 0.2 \times 5c = 5c - 16 }[/tex]

[tex]{ \longrightarrow 2 - 1c = 5c - 16 }[/tex]

[tex]{ \longrightarrow 2 + 16 = 5c + 1c }[/tex]

[tex]{ \longrightarrow 18 = 6c }[/tex]

Dividing both sides by 6

[tex]{ \longrightarrow 3 = c }[/tex]

Hence c = 3.

Simplify the power of i^15

Answers

Answer:

this cant be simplified unless you have an integer in place of "i"

what’s the i stand for?

change 3/8 to a decimal

Answers

Answer:

please mark me brainliest

Step-by-step explanation:

Answer: 3/8 as a decimal is 0.375.

Answer:

0.375.

Step-by-step explanation:

Do the division:-

8)3.000(0.375

   2 4

       60

        56

           40

            40

             --

Can anyone explain what the last part is about describing the translation!

Answers

Answer:

the pictures is not clear

Name the property of real numbers illustrated by the equation.

Answers

Answer:

Property

Step-by-step explanation:

Distributive Property

A person picks 250 apples an hour and works for 5 hours a day. How many apples can be picked in 2 weeks, assuming apples are picked each day??

Answers

Woah picking apples seems like a fun job…very fun…anyway…
So this person picks 250 apples in 1 hour and works 5 hours a day. Do 250 times 5 because he will be picking apples for 5 hours a day. 250x5=1,250 apples. This person picks 1,250 apples a day. So the question asks how many apples can be picked in two weeks if this person picks apples everyday. We all know there are 7 days a week, so if it’s 2 weeks, then 7x2=14 days in 2 weeks. Now we take that 1,250 (number of apples this person picks a day) and times it by 14 (days this person will be picking apples). 1,250x14=17,500 apples. 17,500 apples can be picked in 2 weeks.

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0

Answers

Answer:

0.0300300030000...

Step-by-step explanation:

An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.

1632 can be written as 3264/2

0.25 can be written as 1/4

0 could be written as 0/0

but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.

please help! i will mark brainliest!

Answers

Answer:

(-4.5, 0)

Step-by-step explanation:

I don't even use midpoint formula for these types of problems, we can just count and see where they meet in the middle.

0 --- (-9)

(-1) --- (-8)

(-2) --- (-7)

(-3) --- (-6)

(-4) --- (-5)

(-4.5) --- (-4.5)

Factorise
Please with full method

Answers

[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]

Answer:

Step-by-step explanation:

[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]

Need awnsers please

Answers

Answer:

1_ 129 , 51

2_ b

3_ 40

Step-by-step explanation:

1_ we can represent the bigger angle with x and smaller one with y

and as given, y is smaller than x by 78

so y = x - 78 (1)

as x + y = 180

we put y as we did in (1)

x + x - 78 = 180

so 2x = 258

so x = 129

and y will be 51

2_ from the figure we find the two angles form one angle = 90 degree

3_ from the defenition of complementary angles

m(c) + m(d) = 90

7r + 5 + 8r + 10 = 90

15r + 15 = 90

r = 5

so m(c) will be equal 7*5 + 5 = 40

John's cell phone company charges him a flat fee of $27.50 per month plus $.12 a
minute for every minute he is on the phone. If his bill was $66.62, how many minutes
was he on his phone?
326 minutes
35.5 minutes
O 348 minutes

Answers

answer: 326 minutes

explanation: 66.62 (bill) - 27.50 (monthly fee) = 39.12
39.12 is now the total of the charges for every minute he was on his phone. so we divide that number by the fee of .12 to find how many minutes he was on the phone, 326 minutes.

RS is the segment bisector. If OQ = 32 and PO = 4x,
what does x equal?
4
8
36
128
pls help

Answers

Answer:

8

Step-by-step explanation:

Bisectors are lines that divide an angle into two equal parts. The value of x of OQ is equal to PO is 8

Angle bisectors

Bisectors are lines that divide an angle into two equal parts. If RS is the segment bisector and given the following parameters:

OQ = 32

PO = 4x,

This shows that OQ = PO that is:

32 = 4x

Swap

4x = 32
x = 8

Hence the value of x of OQ is equal to PO is 8

Learn more on bisectors here: https://brainly.com/question/11006922

Which of the following numbers has the greatest value?
.1

.47

.049

.192

.0864

Answers

Answer:

.1

Step-by-step explanation:

anything that's the furthest(farthest) from the tenths is a small number

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