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aleksandrvk [35]
2 years ago
7

Write an equation in standard form of the line that contains the point (-1,2) amd is perpendicular to y = 3x - 1

Mathematics
1 answer:
Strike441 [17]2 years ago
7 0
Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is -\frac{1}{3} x

So now we have, 
y=- \frac{1}{3} x+b

To find b, we use the point that the line passes through and substitute it to the y and x values.

2=- \frac{1}{3} (-1)+b

which would give us b=5/3

Therefore, the equation of the line is 
y=- \frac{1}{3} x+ \frac{5}{3}
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Solve the inequality. Graph the solution.<br> 7z&lt; -28
Zepler [3.9K]

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

6 0
2 years ago
E5 In (x + 1)<br> Simplify
pentagon [3]

Answer:

e^ (5 ln (x + 1))   = (x + 1)^5

Step-by-step explanation:

e5 In (x + 1)  or did you mean   e^ (5 ln (x + 1))

because then this would simplify a lot

e^ (5 ln (x + 1))  = e ^ (ln (x + 1)^5)

e^ (5 ln (x + 1))  = e ^ (ln (x + 1)^5) = (x + 1)^5

or did you mean  (e^5) ( ln (x + 1))  =  ln [(x+1)^(e^5)]

But I think you meant:

e^ (5 ln (x + 1))  = e ^ (ln (x + 1)^5) = (x + 1)^5

8 0
2 years ago
Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer
Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

0=(3x+2)(x-4)

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply (3x+2)(x-4) i.e. 3x^2-12x+2x-8 = 3x^2-10x-8

So, the equation becomes:

0=3x^2-10x-8

Comparing this equation to standard quadratic equation:

ax^2+bx+c=0

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0
2 years ago
the cook put broth and vegetables into the pot. later he added some meat. he let it cook for a while then served it to dinners o
ch4aika [34]

if i understand this correctly the question is asking if the cook did it correct and i believe he did

3 0
3 years ago
What is the check digit, d, for the UPC bar code number shown below? 0-24679-36163-d
Juli2301 [7.4K]

Answer:

The check digit is 7.

Step-by-step explanation:

Check digit can be calculated by the following way:

  • Add all the digits except the check digit that is the last digit on the   right side.

             Total = 0 + 2 + 4 + 6 + 7 + 9 + 3 + 6 + 1 + 6 + 3

             Total = 47

  •      Add the digits at odd starting from left, double this amount and          finally add it with the total from step 1.

             = 0 + 4 + 7 + 3 + 1 + 3

       Sum =  18

      Doubling the sum = 36

     Adding it with the total from step 1, we get

        Total = 36 + 47

        Total = 83

  •  Subtract the last digit of the total from step 2 with 10, and this will be check digit.

        Check Digit  = 10 - 3

        Check Digit  = 7

3 0
3 years ago
Read 2 more answers
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