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hodyreva [135]
3 years ago
11

Find the equation of the line in standard form containing a point P(-3.3) and slope m= -4/3​

Mathematics
1 answer:
bixtya [17]3 years ago
5 0

Answer:

4x + 3y = -3.

Step-by-step explanation:

First substitute into the point-slope form:

y - y1 = m(x - x1):

y - 3 = (-4/3)(x - -3)

y - 3 = (-4/3)(x + 3)

y - 3 = -4/3 x - 4

y = -4/3 x - 4 + 3

y = -4/3x - 1   Multiply through be 3:

3y = -4x - 3

4x + 3y = -3  (answer).

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x \leqslant  - 21

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Describe the transformation of the parent function k(x)=f(-x)
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I'm a middle school students sorry I can't help

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Form a polynomial whose real zeros and degree are given. ​zeros: negative 2−2​,negative 1−1​,44​, 55​; ​ degree: 4 type a polyno
prisoha [69]
We write the polynomial in its factored form first.
 We have then:
 (x + 2) * (x + 1) * (x-4) * (x-5)
 We now rewrite the polynomial:
 (x ^ 2 + x + 2x + 1) * (x ^ 2-5x-4x + 20)
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 We now add terms of the same degree:
 x ^ 4 + (-9 + 3) x ^ 3 + (20-27 + 1) x ^ 2 + (60-9) x + (20)
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 Answer:
 
The polynomial sought is:
 
x ^ 4 - 6x ^ 3 - 6x ^ 2 + 21x + 20
6 0
4 years ago
What is the value of x in the equation below 6 (x - 8) equals 72 ​
olga_2 [115]

Here is the equation:

6(x-8)=72

In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.

FIRST METHOD

<h3>6(x-8)=72</h3>

You need to remove the parentheses by multiplying everything in the parentheses by 6.

6(x-8) = (6\times x) + (6 \times -8)

Multiply:

6 \times x = 6x\\6 \times -8 = -48

Remember:

NEGATIVES

  • Negative(-) times(×) negative(-) = positive(+)
  • Negative(-) times(×) positive(+) = negative(-)
  • Negative(-) divided(÷) by positive(+) = negative(-)
  • Negative(-) divided(÷) by negative(-) = positive(+)

POSITIVES

  • Positive(+) times(×) positive(+) = positive(+)
  • Positive(-) times(×) negative(-) = negative(-)
  • Positive(+) divided(÷) by positive(+) = positive(+)
  • Positive(+) divided(÷) by negative(-) = negative(-)

Now combine the two values and rewrite the equation:

6x+-48 \rightarrow 6x-48=72

Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).

6x-48+48=72+48\\6x=120

Lastly, divide both sides by 6 to leave x alone.

\frac{6x}{6} = \frac{120}{6}

x=20

SECOND METHOD

While the first step is somewhat complicated, there is a much easier way.

6(x-8)=72

Start by dividing both sides by 6 to remove the number next to the parentheses.

\frac{6(x-8)}{6} =\frac{72}{6}

x-8=12

(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).

Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).

x-8+8=12+8\\

x=20

Either method can be used, but the second one is definitely shorter!

The answer is x = 20.

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3 0
3 years ago
Read 2 more answers
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