Find a and b if the points p(6,0) and q(3,2) lie on the graph of ax + by =12

Answers

Answer 1

Answer:

[tex]a= 2[/tex]

[tex]b = 3[/tex]

Step-by-step explanation:

Given

[tex]p(x,y) = (6,0)[/tex]

[tex]q(x,y) = (3,2)[/tex]

[tex]ax + by = 12[/tex]

Required

Find a and b

In [tex]p(x,y) = (6,0)[/tex], [tex]x = 6[/tex] and [tex]y = 0.[/tex]

This gives:

[tex]a*6 + b*0 = 12[/tex]

[tex]6a = 12[/tex]

Divide by 6

[tex]a= 2[/tex]

In [tex]q(x,y) = (3,2)[/tex]. [tex]x = 3[/tex] and [tex]y = 2.[/tex]

This gives:

[tex]a*3 + b*2 = 12[/tex]

[tex]3a + 2b = 12[/tex]

Substitute 2 for a

[tex]3*2 + 2b = 12[/tex]

[tex]6 + 2b = 12[/tex]

Collect Like Terms

[tex]2b = 12 - 6[/tex]

[tex]2b = 6[/tex]

Divide by 2

[tex]b = 3[/tex]


Related Questions

Michael paid $10 for a six-pack of socks at the store. How much would one pair of those socks cost?

Answers

10/6 = 1.6666... per sock
so $1.67

What is the percentage of deaths that occurred in 2004? Round your answer to the nearest tenth of a percent.

Answers

Answer:

I'll round in each

200,000

220,000

228,000

228,800

228,800

i am so sorry if thats not what you want i just want to help as much people as possible and i dont know im percent so im so sorry again i apoligize

The percentage of deaths occurred in 2004 is 27.77%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

We have the table that contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.

In 2004,

228802 deaths occurred.

And the total number of deaths = 823756

To find the percentage:

Let n be the required percentage.

228802 = n x 823756 / 100

n = 228802 x 100 / 823756

n = 27.77%

Therefore, the percentage is 27.77%.

To learn more about the percentage;

brainly.com/question/24159063

#SPJ2

Which of the values below will make 3+x=21 true

Answers

Answer:

x=18

21-3=18

Step-by-step explanation:

In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answers

Answer:

The propability would be 4/26 students who failed the test but completed the

homework

Step-by-step explanation:

The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]

What is  Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

Given,

Total number of students = 26 students

Number of students who completed the assignment = 18 students

Number of students who pass the test and also completed the assignment = 15 students

Number of students who completed the assignment and fail the test = 18 -15 = 3 students

Then,

Probability =  Number of favorable outcome / Total number of outcome

Probability that a student who failed the test completed the homework = [tex]\frac{3}{26}[/tex]
Hence, The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]

Learn more about Probability here

https://brainly.com/question/11234923

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Pls help extra points and mark brainlist

Answers

Answer:

y(5 + 8)

Step-by-step explanation:

I think what this problem wants us to do is take y out of this expression. 5y divided by y is 5 and 8y divided by y is 8, so we would get that this expression is y(5 + 8).

If you wanted to simplify, you would get y(13), which is 13y.

what dose 76 ÷ 5675 ≈ ( 655±3456)≈

Answers

algebra solver machine 350

Answer:

0.01339207048

Step-by-step explanation:

What is the y-intercept of a line that passes through the points (1, -7) and
(5,-25)?

Answers

Answer:

-5/2

Step-by-step explanation:

i really hope this helps you out!

hi im 7th grade and i feel like people think i smell when i do everything to not smell. i wake up take a shower with soap aplly deoderant and brush teeth. any tips

Answers

Answer:

Step-by-step explanation:

This might be a hygiene problem. What causes the unpleasant smell is the bacteria that build up on your sweaty skin and react with sweat and oils to grow and multiply when sweat reacts with bacteria on the skin. These bacteria break down proteins and fatty acids, causing body odor in the process. If deodorant isn’t good enough , I recommend perfume, the perfume smell lasts longer than deodorant I would think. But shower everyday, full clean down, but if ur hygiene is ok, I recommend going to the doctor for a checkup. Hopefully your problem will be resolved. Also use lotion.

help pls! i will give 10 points! thxs

Answers

Answer:

P=105°

QR=11.6

M=45°

LN=8.5

Step-by-step explanation:

1

What is a counterexample for 3/4 and 6/8

Answers

Answer:

While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.

Can someone do this warmup for me

Answers

Answer:

cos, it's adjacent over hypotenuse.

for the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
14. distance to the closest movie theater
16. number of competing computer spreadsheet software packages

Answers

Answer:

14: quantitative continuous

16: quantitative discrete

Step-by-step explanation:

Distance can be any non-negative real number, hence it is continuous.

The number of packages has to be a positive integer, hence is discrete.


(
0
,
4
)

(

1
,
4
)

(
0
,

3
)
(
0
,
4
)

(
-
1
,
4
)

(
0
,
-
3
)
dilated by a factor by 
2

Answers

Answer:

wait what the hell is even this!

at the end of the day, oranges at a farm market sell for $2.25 per pound and baskets cost $4.00. if serena wants to buy a basket and spend at most $22 total, how many pounds of oranges can she buy

Answers

Answer:

So if im entirely correct you said

Step-by-step explanation:

deeznutz

At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia
buys 3 sodas and 4 snacks and spends $15. Set up the system of
equations.

Answers

Answer: 20

Step-by-step explanation:

Which of the following are magnitudes for rotational symmetry of the square below about the marked point?

Choose all answers that apply:

A : 45

B : 180

C : 270

D : None of the above

Answers

CCCCCCCCCCCCCCCCCCCCC

Answer:

b

Step-by-step explanation:

that was the right answer on khan academy

At the end of a conference, the attendants were asked if they are planning to attend this conference next year. The ratio of ‘Yes’ to ‘No’ answers was 7 to 9. If 320 people gave either a 'Yes' or 'No' answer, then how many of these people answered 'Yes'?

Answers

Answer: 140

Step-by-step explanation:

Solve for g in terms of h
6g - 3+ h = 5g - 4h + 13

Answers

The answer is g= -5h + 16

Answer:

g = −5h+16

h = −[tex]\frac{g}{5}[/tex]+[tex]\frac{16}{5}[/tex]

David is looking for the best deal on a laptop that regularly costs $719. Help him compare the price of the laptop at a
store with the price on the store's website by completing the following.
(a)
The store's website is offering the laptop at a 60% discount off the regular price. Ignoring tax and shipping, how
much would he pay for the laptop on the store's website?
(b)
The store is having a sale, offering a 50% discount off the regular price of the laptop. David also has an
in-store-only coupon for an additional 10% off the sale price. Ignoring tax, how much would he pay for the laptop
at the store?
so
(c)
Select the true statement.
David would pay more for the laptop on the website.
David would pay more for the laptop at the store.
David would pay the same amount at the store and on the website.
Continue
Continue
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Answers

Answer:

A) $287.60.

B) $323.55.

C) David would pay more for the laptop at the store.

Step-by-step explanation:

A) Given that the store's website is offering the laptop at a 60% discount off the regular price of $ 719, ignoring tax and shipping, the sale price is obtained through the following calculation:

100 - 60 = 40

719 x 0.40 = X

287.6 = X

Therefore, in this case the sale price would be $ 287.6.

B) Since the store is having a sale, offering a 50% discount off the regular price of the laptop, and David also has an in-store-only coupon for an additional 10% off the sale price, ignoring tax, the price of sale is obtained through the following calculation:

(719 x 0.5) x 0.9 = X

359.5 x 0.9 = X

323.55 = X

Thus, the sale price in the present case would be $ 323.55.


Helen Sanchez's checking account had a balance of $678.22. She wrote a check to pay her gasoline charge
card for $17.21 and a check to the grocery store for $172.71. What is her new balance?

O $668.01
O $488.30
0 $661.01
O $478.30

Answers

The answer to the question is $488.30 all you had to do was subtract

120% of what number is 36? due today

Answers

Answer:

30

Step-by-step explanation:

search it up 4 instant answer

Answer:

30

Step-by-step explanation:

I just wrote it out.

120%   36

100%     30

80%     24

60%     18

40%     12

20%    6

plz plz plz HELP!
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b ​

Answers

Answer:

y=11x

Step-by-step explanation:

ΔX = 2 – 1 = 1

ΔY = 22 – 11 = 11


[tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]
can someone please solve this?

Answers

Answer:

[tex]\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}[/tex]

Step-by-step explanation:

Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-

[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } [/tex]

Let's simplify the equation :-

[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}[/tex]

At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP​

Answers

Answer:

Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better

Step-by-step explanation:

HOMEWORK HELP!

model this sine function into a cosine function.

sine function: 67.5sin12(x-7.5)+67.5​

Answers

Answer:

67.5sin12(x - 7.5) + 67.5

= 67.5[sin 12(x - 7.5) + 1]

= 67.5[sin(12x - 90) + 1]

= 67.5[ sin(12x)cos90 - cos(12x)sin90 + 1]

= 67.5[ -cos12x + 1]

= 67.5 - 67.5cos12x

Step-by-step explanation:

Answer:

that is by graph and solving steps

Step-by-step explanation:

hope it helps

1) (2 points) Imagine a 21-gonal prism. How many total faces does this prism have? Provide a clear
and detailed justification for your answer, using appropriate vocabulary, that does not rely on a
formula.

Answers

Answer:  There are 23 faces total.

Explanation:

This is because there are 21 lateral faces, each of which are a rectangle. Then there are the 2 base faces which are each 21-gons. A 21-gon is a 21 sided polygon. So we have 21+2 = 23 faces total.

2 9/10 as a decimal number

Answers

2 9/10 in decimal form would be,

[tex]2.9[/tex]

if you have any other questions like this,

let me know ill help you!!

Answer:

2 9/10=2.9

Step-by-step explanation:

We know that 9/10 is the same as 9÷10

Therefore:

2 9/10 = 2 + (9÷10)

Then using

Long Division for 9 divided by 10

we have

=2+0.9=2.9

Please give me brainliest because I worked hard on this answer and I am trying to level up

look at the picture and pls hurry i’m failing algebra and this will help a lot

Answers

UmumumumumumumumumumumumuAnswer:

Step-by-step explanation:

Solve the system by substitution.
8x – y = 42
-43 - 6 = y

Answers

Answer:

x = .875 y = -49

Step-by-step explanation:

(8x - y = 42)

(y = -43 - 6) or (y = -49)

Since we have our y value, we can plug it into our top equation:

8x -(-49) = 42

8x + 49 = 42

      -42   -42

8x = 7

/8    /8

x = 0.875

To check the work:

8(0.875) - 49 = 42

7 - 49 = 42

can you help me in that problem​

Answers

Answer:

(x - 10, y - 13)

Step-by-step explanation:

We have two shapes on a graph and the question is asking for the translation of rhombus QRST to rhombus Q'R'S'T.

Looking at the graph we can see that not only does the rhombus move backwards, but also downward, this indicates that our answers will be in a subtracting symbol.

So all we have to do is count the amount of spaces rhombus QRST went to get to rhombus Q'R'S'T

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