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Luda [366]
3 years ago
10

Which of the following statements is true of -4 and 4? Select all that apply.

Mathematics
2 answers:
nlexa [21]3 years ago
5 0
They are opposites
They are the same distance from zero
lesantik [10]3 years ago
4 0

Answer:

they are a pair of zero

Step-by-step explanation:

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((2x^9)(y^n))((4x^2)(y^10))=(8x^11)(y^20)
tino4ka555 [31]

We are given

((2x^9)(y^n))((4x^2)(y^{10}))=(8x^{11})(y^{20})

Firstly, we simplify left side

Left side is

((2x^9)(y^n))((4x^2)(y^{10}))

we will make all x terms together

and y terms together

(2x^9)(4x^2)(y^n)(y^{10})

2\times 4(x^9)(x^2)(y^n)(y^{10})

8(x^9)(x^2)(y^n)(y^{10})

we can multiply left side by using exponent rule

a^m\times a^n=a^{m+n}

8(x^{9+2})(y^{n+10})

8(x^{11})(y^{n+10})

now, we can set them equal

(8x^{11})(y^{n+10})=(8x^{11})(y^{20})

Since, both sides have x,y and 8

and both are equal

so, their exponent must be equal

so, exponent of y must also be equal

we get

n+10=20

n=10................Answer



3 0
3 years ago
Read 2 more answers
Use completing the square to solve the equation x^2+16x=-44.
Sidana [21]

Step-by-step explanation:

our equation is x²+16x = -44

  • x²+16x= -44
  • x² is the first term so weill have in the middle 2*x* a number
  • x²+2*x*8 = -44
  • the third term is 8² wich is 64 so we will add it in both sides
  • x²+2*x*8+64 = -44+64
  • (x+8)² = 20

Now that we have completed the perfect square let's solve the equation

  • (x+8)² = 20
  • x+8 = \sqrt{20}or x+8= -\sqrt{20}
  • x = -8+\sqrt{20} or x =  -8- \sqrt{20}

so the first answer is the correct one

64; 8 +/- \sqrt{20}

7 0
3 years ago
Read 2 more answers
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that
Hunter-Best [27]

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
6 0
3 years ago
If you bought a cookie for 80¢ and paid for it with a 5 dollar bill, how much change would you receive?
Inessa [10]

Answer:

4 dollars and 20 cents

Step-by-step explanation:

5.00-.80=4.20

5 0
3 years ago
Read 2 more answers
Please help with this problem:
Olegator [25]
He added 8 to both sides. He did the write thing.
6 0
2 years ago
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