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frutty [35]
3 years ago
12

Write the equation for the

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

(

y

−

4

)

=

2

⋅

(

x

+

3

)

y

−

4

=

2

x

+

6

y

=

2

x

+

6

+

4

We get the equation of the line as :

y

=

2

x

+

10

The graph will look like this:

graph{y=2x+10 [-10, 10, -5, 5]

Step-by-step explanation:

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I need to solve these problems. Plz solve theses problems ASAP.
podryga [215]

Answer:

Step-by-step explanation:

Let's start with the first problem :

  • Dora spent 1/3 of her money and it equals 72
  • Jack spen 1/4 and had the amount left

To get the initial amount that Dora had we must multliply 72 by 3 since she spent 1/3 and 3 is the total number of parts

  • 72*3=216 ⇒ Dora had 216
  • she spent 72 so  : 216-72=144 ⇒144 is the amount left for her and Jack

Jack spent 1/4 of his total amount and had 144 left

  • 144 is 3/4
  • to get 1/4 we must divide 144 by 3 ⇒ 144/3=48
  • so the total amount is 48*4=192  

Let's check : 192-48= 144 so it's right

  • Jack spent 48

The second question :

We notice that the total area A is the sum of the white square's area and the blue region's area

  • A= 65+ x    x is the area of the white square so x = 4*4 since it is 4cm*4cm
  • so A= 65+16= 81
  • we khow that the area of a square is the lenght times itself
  • so 81 = y² with y the lenght of the large blue square and y≥0 since it is a distance
  • y= \sqrt{81}= 9
  • so the lenght is 9 cm

The third problem :

  • Mo gave alex some stickers and now he has twice as many as Mo
  • Mo had 150 and Alex 207
  • so let x be the amount of stickers  we are locking for
  • then : 207 +x = 2(150-x)
  • 207+x = 300-2x
  • 207 +3x = 300
  • 3x = 300-207 ⇒93= 3x ⇒ x= 31

Let's check : 150-31 = 119  119*2= 238

                       207 + 31 = 238 that's right

so mo gave 31 stickers to alex

5 0
4 years ago
Read 2 more answers
9 and 11! Will mark brainliest if you get both right:) help needed ASAP
notka56 [123]

Answer:

C & B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the surface of the cereal box? please helppp ​
Yuri [45]

Answer:

Step-by-step explanation:

Jdhbdzbzvdksksskdjdjhdjdjdjjdjdjjfnfndjffjdjxbbx jasjsjs hahahas

3 0
3 years ago
Signs for science project displays are cut from pieces of poster board that measure 1 yard on each side. Each sign is LaTeX: \fr
iren [92.7K]

Answer:

27

Step-by-step explanation:

Given that :

Dimension of poster board = 1 yd by 1 yd

Dimension of each poster sign = 1/3 yd by 1/9 yd

Number of poster signs that can be cut :

Area of poster sign = 1/3 * 1/9 = 1/27 yard²

Area of poster board = 1 yard²

Number of poster signs that can be cut :

Area of poster board / area of poster sign

1 yard² ÷ (1/27) yard²

1 ÷ 1/27

1 * 27/1

= 27 poster signs

4 0
3 years ago
Hello I don’t understand question 9 a and b. Please show working out.<br> Thanks
brilliants [131]
A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

Use y to find x

x = y + 3
x = 6 + 3
x = 9

So the answers are x = 9 and y = 6.
3 0
3 years ago
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