Given that the line is x/3 + y/2 =1
i ) make y the subject
ii ) gradient of line

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

(i)

[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - [tex]\frac{2}{3}[/tex]


Related Questions

what is the answer because i need help with it
Josh will take 10 test in 5 weeks at school how many test will he have taken after 7 weeks

Answers

Answer:14

Step-by-step explanation:

He takes 2 a week so 2 times 7 is 14

Help now please now 50 points and brainliest

Answers

Answer:

F=(9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

Simplify to 5F-160/9=c

multiply by 9 on both sides : 5F-160=9C

add 160 to both sides: 5F=9C+160

Divide by 5 on both sides: F=(9C+160)/5

Simplify: F=9/5c+32

Answer:

[tex]F=\frac{9C}{5}+32[/tex]

Step-by-step explanation:

The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.

[tex]c=\frac{5(F-32)}{9}[/tex]

To do this we first need to distribute 5.

[tex]C=\frac{5F-160}{9}[/tex]

Divide 5F-160 by 9.

[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]

We can then swap sides to make it easier.

[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]

We then add [tex]\frac{160}{9}[/tex] to each side.

[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]

We can then find F by multiplying by 9/5 or dividing by 5/9.

[tex]F=\frac{9}{5}(C+160/9)[/tex]

We then can simplify by multiplying.

[tex]F=\frac{9C}{5}+32[/tex]

:D

Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawn, $9 for washing cars, and $7 for walking dogs. Tim owes his mother $23. What possible combination of jobs could Tim perform to earn
enough money to pay back his mother? Write an addition equation using integers to represent the
situation. Will he have money left over? Select the correct choice below and fill in the answer boxes to complete your choice.

Answers

Answer:

D

Step-by-step explanation:

D is the only option where Tim has 23 or more dollars earned.

To show this I will solve each equation...

A) (-23)+9+9 = (-23)+18= -5

-5 < 0 so A doesn't work

B) (-23)+7+7+7 = (-23)+21= -2

-2 < 0 so B doesn't work

C) (-23)+12+9 = (-23)+21= -2

-2 < 0 so B doesn't work

D) (-23)+12+12 = (-23)+24= 1

1 > 0 so D does work!

* I am using 0 to compare each number with the result because Tim should have 0 or more dollars after paying his mom.

Hope this Helps!

13) When simplified, -2(x + 4) 3(2x + 1) is equivalent to

Answers

-6 • (x + 4) • (2x + 1)

Answer:

-6(x=4)(2x+1)

Step-by-step explanation:

Just multiply -2 x 3

Hope this helps! :)

What is the value of
this expression? [2x(3x5)+6]x4

Answers

Answer:

144

Step-by-step explanation:

(2*(3*5)+6)*4:

First, we simplify the 3*5.

(2*(15)+6)*4

Next, we multiply by 2.

(30+6)*4

We add the six now.

36*4

Finally, we multiply.

144

How many 1 1/2 cup servings are there in 12 cups of juice?

Answers

Answer:

8, 1 1/2 cup servings in 12 cups of juice.

Step-by-step explanation:

I just divided 12 by 1.5

Solve:
(a+b+c) (a+b-c)

Answers

Answer:

a²+2ab+b²-c²

Step-by-step explanation:

Solve:

(a+b+c) (a+b-c)=

(a²+ab-ac+ab+b²-bc+ac+bc-c²)=

a²+ab-ac+ab+b²-bc+ac+bc-c²=

a²+2ab+0ac+b²+0bc-c²=

a²+2ab+b²-c²

Answer:

The answer is a² + 2ab + b² - c²

Step-by-step explanation:

(a + b + c) × (a + b - c)

a² + ab - ac + ba + b² - bc + ca + cb - c²

a² + ab + ba - ac + ca + b² - bc + cb - c²

a² + 2ab + b² - c²

Thus, The answer is a² + 2ab + b² - c²

-TheUnknownScientist 72

i don’t know what’s going on here, can someone help me?

Answers

Answer:

[tex](\frac{a}2;\frac{a}2)[/tex]

Step-by-step explanation:

You simply need to apply the formula for the midpoint of a segment - which is provided.

[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]

Which expression gives the distance between the points (4,6) and my (7,-3)?

Answers

All you have to do is search up the distance formula and plug the points in, once doing so you end up with the correct answer (A).

how mouch does it cost in total(include 13%tax) to reaseal the parking lot if each 19l pail of sealantt costs 19.29

Answers

Answer:

9.50

Step-by-step explanation:

needs to be 20 character

How to divide with decimals and fractions.

Answers

Answer:

Dividing Decimals

Step 1: Estimate the answer by rounding .

Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.

Step 3: Divide as usual.

Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

Step-by-step explanation:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

what is the answer???????​

Answers

Answer:

1) 1(1/32)

2) 1.8

Step-by-step explanation:

2(3/4)=11/4

2(2/3)= 8/3

(11/4)/(8/3)=33/32

33/32= 1(1/32)

1(4/5)=9/5

9/5=1.8

PLEASE HELPPP‼️‼️‼️‼️I WILL MARK BRAINLYEST ‼️‼️SOMEONE PLEASE ANSWER ‼️‼️
What is the length of DE?

A. 2.24
B. 2.66
C. 5
D. 1.73

Answers

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

I Jose' Altuve is currently hitting 2 home runs for each 25 times at bat. If he continues at this rate, how many home runs will he hit in a season in which he bats 550 times?​

Answers

Answer:

44 home runs

Step-by-step explanation:

550 ÷ 25

= 22

22 x 2

= 44

can someone please help me solve this! ​

Answers

Answer:

B

Step-by-step explanation:

[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]

B is factorable through this method

Please help
2x−9≥17
Ancwers:
x≤3

x≤13

x≥3

x≥13

Answers

Add 9 to -9 and 17.
You should have 2x<26 (canceled out the 9) (flip because you subtracted)
Divide the 2x and the 26 by 2.
Should be x is greater than or equal to 13 (x>13)


Emilio's family is going on vacation. His mom and sister leave at
7:00 in the morning, driving an average of 45 miles per hour.
Emilio and his dad leave at 8:00. His dad drives an average of
60 miles per hour.
Will Emilio and his dad catch up to his mom and sister?

Answers

Answer:

3 hours

Step-by-step explanation:

This is an LCM of least common multiple problem. The GCF of 60 and 45 is 15 and 45/3=3. So the LCm of these 2 numbers are 60x3=180 minutes or 3 hours

Answer:

3 hours is the answer

Step-by-step explanation:

answer

A helicopter floats 120m above a helipad, a dog is 85m from the helipad, if the dog could fly, how far would it have to fly to get to helicopter?

Answers

If the dog could fly, it would need to fly 147 meters to catch the helicopter

This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.

Using pythagoras theorem, we have

120² + 85² = c²

c² = 14400 + 7225

c² = 21625

c = [tex]\sqrt{21625}[/tex]

c = ±147 meters.

Since distance cant be in the negative, our answer is 147 m

read more about pythagoras theorem here https://brainly.com/question/15138986

How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3

Please answer !

Answers

you tried plugging in 3 for J on both sides of the equation

7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.

Answers

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

Answer this Question I’ll BrainElist and PLEASE HELP ME DUE NOW PLEASE

Answers

Step-by-step explanation:

I I think you have your answer now

Lilly made 32 of her 40 serve attempts over the net. What percent of her serves made it over the net?

Answers

80%

(32/40)=0.8
0.8 x 100 = 80

Find the 75th term of the following arithmetic sequence.
2, 8, 14, 20,
..

Answers

Answer:

The 75th term is 446

Step-by-step explanation:

Using the explict formula you get an=6n-4

you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446

Answer:

446 is the 75th term

Step-by-step explanation:

This sequence increases by 6

2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446

I need helpppp with 1-9

Answers

Answers:
1. x=1 y=3
2. x=2 y=1
3. x=2 y=2
4. x=5 y=5
5. x=2 y=0
6. x=2 y=1
7. x=3 y=-1
8. x=1 y=-3
9. x=1 y=0

Tell me if you want a step by step on any of them!! I can add that if you want.

Hope this helped. :)

Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.

Answers

Answer:

116π

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(58)π

Circumference = 116π

-Chetan K

If there are four quarts in a gallon, how many quarts are in 101/2 gallons?

Answers

Answer:

202

Step-by-step explanation:

Can someone help me with this question, please explain your answer. :D

Answers

Answer:

21/8 yards

Step-by-step explanation:

If Sarah wants to make her own costume she will need 21/8 yards of yarn.

To get this, you multiply 2 by 8 and get 16.

Next, you will add 5 onto 16 and get 21.

Keep your 21 and put is as your numerator.

Now take your 8 and put it as your denominator.

Evaluate the expression when m=8 and n=9.
4n+m


Answers

Answer:

44

Step-by-step explanation:

4(9) + 8  

=36 + 8

=44

Find the perimeter. Simplify your answer.

Answers

Answer:

6z-30 :D

Step-by-step explanation:

The perimeter of a square is just all the sides added up together. To do this we can make an equation.

2(z-5) + 2(2z - 10)

This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.

2z - 10 + 2(2z - 10)

We then use the distributive property by multiplying 2z - 10 by 2.

2z − 10 + 4z − 20

We then combine 2z and 4z to get 6z.

6z − 10 − 20

Subtract 20 from 10 to get -30.

6z-30.

Answer:

6z - 30

Step-by-step explanation:

Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10

= 6z - 30...ans

Hope it Helps you!!

Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)

Answers

Answer:

  27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

  180° -50° -70° = 60°

Then the distance c can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

  c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

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