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4 years ago

Find the answer please.its both questions

Mathematics

2 answers:

snow_tiger [21]4 years ago

5 0

Yes because when you want to find the prime factors of the number that you are multiplying, you need to multiply the numbers first.

iogann1982 [59]4 years ago

4 0

21. It is not necessary to use a calculator as you already know 4 numbers which can be multiplied to make 17017 ( the final number). As those 4 numbers are all prime numbers the PFD would be 17017 = 7 x 11 x 13 x 17

22. Following the pattern, and additional 0 increases the incidies by 1, therefore, as 1 billion has 9 '0s', the PFD would be 1,000,000,000 = 5^9 x 2^9

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zysi [14]

Answer:

Step-by-step explanation:

8 0

4 years ago

-5x + y = -2<br> -3x + 6y = -12

Korolek [52]

Answer:

x = 0

y = -2

Step-by-step explanation:

-5x + y = -2

x = 0

y = -2

-3x + 6y = -12

x = 0

y = -2

6 0

4 years ago

consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two

Oksana_A [137]

Answer:

(-2, 1)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3

For the lines to intersect, the values must be the same

-x-y=1

x + y = -1

y = -x - 1

Equating the y values

-x - 1 = x+ 3

-x-x = 3 + 1

-2x = 4

x = 4/-2

x = -2

Substitute x = -2 into y = x+3

y = -2 + 3

y = 1

Hence the required coordinate is (-2, 1)

7 0

3 years ago

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andrew11 [14]

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3 years ago

One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an

andre [41]

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.

5 0

3 years ago