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denis-greek [22]
3 years ago
15

One of the steps Misaki used to solve an equation is shown below.

Mathematics
1 answer:
kramer3 years ago
4 0

Answer:

Distributive property

Step-by-step explanation:

The given equation is:

2q(q+4)=10

To solve this equation, we expand the left hand side using the distributive property to obtain:

2q^2+8q=10

That was exactly what Miskai did.

Therefore the property that justifies his step shown is the distributive property.

This property says that, if a, b, and c are real numbers then,

a(b+c)=ab+bc

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What is the vertical asymptotes of the function f(x)=x-2/x*2-3x-4
frozen [14]

Answer:

<h2>x = -1 and x = 4</h2>

Step-by-step explanation:

f(x)=\dfrac{x-2}{x^2-3x-4}\\\\\text{DOMAIN}:\\\\x^2-3x-4\neq0\\\\x^2-4x+x-4\neq0\\\\x(x-4)+1(x-4)\neq0\\\\(x-4)(x+1)\neq0\iff x-4\neq0\ \wedge\ x+1\neq0\\\\x\neq4\ \wedge\ x\neq-1\\\\\text{Therefore the vertical asymptotes are:}\\\\x=-1\ and\ x=4.

4 0
3 years ago
Given: ∠TUW ≅ ∠SRW; RS ≅ TU Prove: ∠RST ≅ ∠UTS Complete the paragraph proof: It is given that ∠TUW ≅ ∠SRW and RS ≅ TU. Because ∠
Citrus2011 [14]
I just did this problem on e2020 and its 
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6 0
3 years ago
Read 2 more answers
There are 24 children in a class, 16 brown-haired and 8 black-haired. Two students are randomly selected for a stage performance
Natali5045456 [20]
The answer is 7/69.

There are 8 black-haired children among 24 children. The probability of <span>randomly selecting black haired children for the first time is:
P1 = 8/24 = 1/3

Now, there are 7 black-haired children left among 23 children. The probability of </span>randomly selecting black haired children for the second time is:
P2 = 7/23

Since we want both of these events to occur together, we will multiply their probabilities:
P = P1 * P2 = 1/3 * 7/23 = 7/69
6 0
3 years ago
What is the surface area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a lengt
Kruka [31]
The surface area of the cylindrical ring is given by
πdh
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4 0
3 years ago
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Determine the equation of the line passing through the points <br> (4,-1) and (-2,-4)
jenyasd209 [6]

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}

the equation:

with the point (4, -1)

y-(-1)=\frac{1}{2} (x-4)

y+1=\frac{1}{2}x-2

y=\frac{1}{2} x-2-1

y=\frac{1}{2} x-3

I hope this help you

8 0
3 years ago
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