MATHEMATICS MIDDLE SCHOOL

Write an equation of the line that passes through the given points:there are four questions:

   1) (0,-1);(6,8)
   2) (3,1);(9,7)
   3) (1,2);(10,14)
   4) (0,0);(-3,5)

Answers

Answer 1
Answer: y=ax+b
1) we put this points into general formula
\left \{ {{-1=a*0+b} \atop {8=6a+b}} \right.\nb=-1\n8=6a-1\n6a=9\na= (3)/(2)
y= (3)/(2)x-1
2)
\left \{ {{1=3a+b} \atop {7=9a+b}} \right. \n b=1-3a\n7=9a+1-3a\n6a=6\na=1\nb=1-3*1=-2\ny=x-2
3)
\left \{ {{2=a+b} \atop {14=10a+b}} \right.\nb=2-a\n14=10a+2-a\n12=9a\na= (4)/(3) \nb=2- (4)/(3)=(2)/(3)\ny=(4)/(3)a+(2)/(3)
4)
\left \{ {{0=b} \atop {5=-3a+b}} \right.\n5=-3a\na=- (5)/(3)\ny=-(5)/(3)a

Related Questions

In a group of 120 seventh graders. 30% have completed their science project. How many students have completed their science project.
If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?
How do you write a ratio as a percent
-24/7 = - 6 what is the answer as a mixed number
What is 1,699 times 8

Simplify 12(6b+2).

96b

72b+24

18b+14

2b+6

Answers

Distributive formula:
a(b+c) = ab + ac

12(6b+2) = 12(6b) + 12(2) = 72b + 24

Your answer is B.

What is X divided by 5 if X=5?What is five to the first power?

What is 5 divided by 0?

Is it possible to subtract integers with negative signs?

What is 1 plus 1 minus 1 times 1 divided by 1?

1234567891010987654321+1234567891010987654321 times 2 as a fraction?

Answers

x ÷ 5 if x = 5 is 1

five to the power of one is 5

any number ÷ by 0 is 0

yes

invalid question

Answer:

234567888ghfgffxnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

Ten pounds of rice are distributed equally into 6 bags to give out at the food bank. How many pounds of rice are in each bag?

Answers

1.6 lbs. 10/6=1.6 so 1.6 pounds in each bag.. hope this helps
10\6 equals 1.6 b\c you can take the zero out of ten then put the point between the 1 and 6 and you got your answer

108 identical books have a mass of 30 kg. Find(i) the mass of 150 such books,
(ii) the number of such books that have a mass
of 20 kg.

Answers

Answer:

The mass of 150 books = 41.7kg

The number of books that have mass 20kg = 72 books

Step-by-step explanation:

(I) Number of identical books = 108

Mass of  books = 30 kg

Mass of 150 books = ?

Let the mass of 150 books = x kg

To find the mass of 150 books we will use ratio and proportion:

108 books: 30kg = 150 books: x kg

You can also write it like this because ratio can be written in division:

108/30 = 150/x

By cross multiplication:

108x = 150*30

108 x= 4500

Divide both sides by 108

108 x/108 = 4500/108

x= 41.7

Thus the mass of 150 books = 41.7kg

( ii ) The number of books that have a mass of 20 kg = ?

Let assume that the number of books of mass 20 kg = y books

We will again use ratio and proportion method.

108 books: 30kg = y: 20kg

We can write it as:

108/30 = y/20

By cross multiplication:

108 *20 = 30y

2160= 30y

Divide both the terms by 30

2160/30 = 30y/30

72 = y

Therefore the number of books that have mass 20kg = 72 books ....

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 row of the same length, he has 3 chairs left over. If he arranges the chairs in 7 rows of that same length, he has 19 left. How many chairs does Liam have?

Answers

Let the number of chairs in a row be x, then the total number of chairs is 9x + 3 = 7x + 19. i.e. 9x + 3 = 7x + 19; 9x - 7x = 19 - 3; 2x = 16 x = 16/2 = 8. Thus there are 8 chairs in each row. Therefore, the total number of chairs is given by 9(8) + 3 = 72 + 3 = 75.I hope that my answer is helpful! Let me know if you need something more :)

Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? There are 7 sides on the birdhouse. If Willa uses only 7 nails on each side, how will the total number of nails she uses change?

Answers

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = No. of sides * Nails used for each side

Nails used on one birdhouse = 7*9 = 63 nails

If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;

No. of nails = 7*7 = 49 nails

Difference = Old value - New value

Difference = 63-49 = 14

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

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