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DanielleElmas [232]
3 years ago
10

The sum of two numbers is 6, their difference is 4, find the two numbers. What is their product?

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

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The area of a rectangle is 42 m2, and the length is
MrRissso [65]

Answer:

length = 14 m

width = 7 m

Step-by-step explanation:

l = length

w = width

l = 2w - 8

w(2w - 8) = 42

2w² - 8w - 42 = 0

you can factor out a 2 to work with smaller numbers:

w² - 4w - 21 = 0

(w - 7)(w + 3) = 0

w = 7

'w' cannot equal a negative so we discount it as an answer

find length:

l = 2(7) - 8

l = 14 - 8 or 6m

6 0
3 years ago
Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?
photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

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10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

4 0
3 years ago
Yesterday 6 of the 20 students in ms.healys. class took the bus to school
Rus_ich [418]
If 6/20 took the bus then there is 14/20 remaining.
6/20 simplified is 3/10.
14/20 simplified is 7/10.

Hope This Helps You!
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8 0
3 years ago
If y =32 when x =8 find y when x =30
irina1246 [14]

Answer:

y = 120

Step-by-step explanation:

If y = 32 when x = 8, then <em>y</em> is 4 times the number of <em>x</em>. If x = 30, then (4)30 = 120.

8 0
3 years ago
Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e.g. 8 x 10 =
Ludmilka [50]

Answer:

Step-by-step explanation:

let the consecutive even numbers be  2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.

2n(2n+2)-(2n-2)(2n+4)

=4n²+4n-(4n²+8n-4n-8)

=4n²+4n-4n²-8n+4n+8

=8

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3 years ago
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