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lesya692 [45]
3 years ago
10

95°

Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Answer:

Step-by-step explanation:

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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
A display order of numbers are called​
Sergeu [11.5K]

Answer:

I think

A display order of numbers are called​ <u>sequences</u>.

7 0
3 years ago
Read 2 more answers
Write 50,722 in expanded form​
avanturin [10]

Answer:

 50,722 =

 50,000  

+ 0  

+ 700  

+ 20  

+ 2  

Step-by-step explanation:

5 0
3 years ago
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Solve the simultaneous equation: x-y=2
kakasveta [241]

Answer:

Y= –7.08, 5.08

Step-by-step explanation:

hope ya ready bro.

X=36/Y

replace 36/y instead of X

36/Y–Y=2===> 36–Y²=2Y===> Y²+2Y–36=0

Y1= –1+√37≈ –7.08

Y2= –1–√37≈ 5.08

5 0
3 years ago
find three consecutive odd integers such that the square of the first plus the square of the third is 170
scZoUnD [109]
Here is the set up:

x
x + 2
x + 4

x^2 + (x + 2) + (x + 4)^2 = 170

Take it from here.
4 0
4 years ago
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