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8090 [49]
3 years ago
15

Describe how to convert from vertex form to standard form. (10 points

Mathematics
1 answer:
Anton [14]3 years ago
7 0

Answer:

  "simplify" it

Step-by-step explanation:

To convert from vertex form to standard form for a quadratic, eliminate parentheses and collect terms. In short, "simplify" it.

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Why is 3 x 1/10 less than 3 x 10
DIA [1.3K]

Answer:

Why is 3 x 1/10 less than 3 x 10

Since is 3 x 1/10 = 3/10 and

3 × 10 = 30, and

30 > 3/10

Step-by-step explanation:

4 0
3 years ago
Determine whether the lines are parallel, intersect, or coincide. x-5y=0, y+1=1/5(x+5)
MAXImum [283]

<u>Answer-</u>

<em>The lines are two </em><em>coinciding lines</em><em> or the </em><em>same lines</em><em>.</em>

<u>Solution-</u>

The given line equations are

the first one,

\Rightarrow x-5y=0  

the second one,

\Rightarrow y+1=\dfrac{1}{5}(x+5)\\\\\Rightarrow 5y+5=x+5\\\\\Rightarrow 5y=x\\\\\Rightarrow x-5y=0

As we know two line equations A_1x+B_1y+C_1=0 and A_2x+B_2y+C_2=0 will be,

  1. Parallel if, \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}
  2. Coincide if, \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}
  3. Intersect if, \dfrac{A_1}{A_2}\neq \dfrac{B_1}{B_2}

As here,

\Rightarrow \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}

\Rightarrow \dfrac{1}{1}=\dfrac{-5}{-5}

(C₁ and C₂ aren't considered as they are 0)

Therefore, the lines are two coinciding lines or the same lines.

4 0
3 years ago
Solve the equation.(please ~u~)<br><br> 9 = 6y + 33
sladkih [1.3K]
9 = 6y + 33
9 - 33 = 6y
6y = 9 - 33
y = \frac{ - 24}{6} = - 4
y = -4
3 0
3 years ago
Read 2 more answers
Explain how you could use a number line to determine -5 -(-3)<br><br> What is the difference?
AURORKA [14]

Answer:

The difference is -2

7 0
3 years ago
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac
IrinaK [193]

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

<u>For example, for one year:</u>

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

8 0
2 years ago
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