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Romashka-Z-Leto [24]
4 years ago
14

What is 8x minus 4y equal?

Mathematics
2 answers:
Katena32 [7]4 years ago
8 0
-32xy is the answer to 8x minus 4y
Brums [2.3K]4 years ago
5 0
You can factorize to simplify the expression

The answer would be,
4(2x - y)
Hope this helped
:D
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I need help on this please​
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3 years ago
What is 5x to the second power +15
noname [10]
It depends what x is
7 0
3 years ago
Part 2: Identify the vertex, focus, and directrix of each. Then sketch the graph.
Andre45 [30]

Answer:  \bold{1.\quad \text{Vertex}}:(-3,-6)\qquad \text{Focus}:\bigg(-3,-\dfrac{17}{4}\bigg)\qquad \text{Directrix}:y=-\dfrac{19}{4}

               2.  Vertex: (-5, 4)           Focus: (-6, 4)                 Directrix: x = -4

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k  or  x = a(y - k)² + h

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus
  • -p is the distance from the vertex to the directrix

    \bullet \quad a=\dfrac{1}{4p}

1) y = (x + 3)² - 6        →       a = 1      (h, k) = (-3, -6)

a=\dfrac{1}{4p}\qquad \rightarrow \qquad 1=\dfrac{1}{4p} \qquad \rightarrow \qquad p=\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-18}{4}+\dfrac{1}{4}\\\\.\qquad = -\dfrac{17}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(-3,-\dfrac{17}{4}\bigg)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=\dfrac{-18}{4}-\dfrac{1}{4}\\\\.\qquad \quad y= -\dfrac{19}{4}

****************************************************************************************

2.\quad x=-\dfrac{1}{4}(y-4)^2-5\qquad \rightarrow \quad a=\dfrac{1}{4}\qquad (h, k)=(-5,4)

a=\dfrac{1}{4p}\qquad \rightarrow \qquad -\dfrac{1}{4}=\dfrac{1}{4p} \qquad \rightarrow \qquad p=-1\\\\\text{Focus = Vertex + p}\\\\.\qquad =-5+\ -1\\\\.\qquad = -6\qquad \rightarrow \qquad \text{Focus}=(-6,4)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=-5+\ -1\\\\.\qquad \quad y= -4

7 0
4 years ago
Apply the rules for order of operations to simplify (2-1) + 3² ÷ 3.
strojnjashka [21]
<h3>(2-1) + 3² ÷ 3.</h3>

<em>To divide powers with the same base, subtract the exponent in the denominator from the exponent in the numerator. Subtract 1 from 2 to get 1.</em>

<h3>2 − 1 + 3¹</h3>

<em>Subtract 1 from 2 to get 1.</em>

<h3>1 + 3¹</h3>

<em>Calculates 3 to the power of 1 and gets 3.</em>

<h3>1 + 3</h3>

<em>Add 1 and 3 to get 4.</em>

<h3>4</h3>

The correct option is Alternative "C".

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