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40

Step-by-step explanation:

because 40 goes in to 8 5 times and it also goes into 80 2 times

8 * 5 = 40

8 * 10 = 80

8 must be the highest common factor of two separate numbers. So, one of them must be 8, and the other must be greater than 8.

Multiples of 8:

8

16

24

32

40

48

56

64

72

80

The numbers on that list that multiply evenly to 80:

8, 16, 40, 80

16 is the lowest common multiple of 16 and 8

40 is the lowest common multiple of 40 and 8

80 is the lowest common multiple of 80 and 8

So the two numbers are 8 and 80; the highest common factor (HCF) is indeed 8.

Step-by-step explanation:

x+y = 29, 5x + 2y = 100

step-by-step explanation:

i'm guessing it was a multiple first option was the correct answer

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15