All categories

3 years ago

Write an equation of a line that passes through the point (2,6) and is parallel to the line whose equation is 3x-4y=6

1 answer:

3 0

First, we must put that equation into slope form.

3x-4y=6 >> -4y= -3x+6 >> y= 3/4x-3/2

Parallel lines share the same slope, so we know that the new equation must at least look like y= 3/4x+b. However, since we must find b, we need to plug in (2,6) for the x and y coordinates to solve.

6= 3/4(2) + b
6= 6/4 + b
4.5 = b

We plug this b value into y=3/4x+b, therefore making the final new equation y= 3/4x + 4.5

You might be interested in

I need to solve for p and have a rationalized denominator

Travka [436]

Answer:

$p = \pm \dfrac{\sqrt{r(st - 1)}}{st - 1}$

$p = \dfrac{\sqrt{r(st - 1)}}{st - 1}$

Step-by-step explanation:

$t = \dfrac{p^2 + r}{p^2s}$

$p^2st = p^2 + r$

$p^2st - p^2 = r$

$p^2(st - 1) = r$

$p^2 = \dfrac{r}{st - 1}$

$p = \pm \sqrt{\dfrac{r}{st - 1}}$

Your picture cuts out the assumption. If the assumption is that all variables are non-negative, then the answer is

$p = \sqrt{\dfrac{r}{st - 1}}$

$p = \dfrac{\sqrt{r}}{\sqrt{st - 1}}}$

$p = \dfrac{\sqrt{r}}{\sqrt{st - 1}}} \times \dfrac{\sqrt{st - 1}}{\sqrt{st - 1}}$

$p = \dfrac{\sqrt{r} \sqrt{st - 1}}{\sqrt{st - 1}\sqrt{st - 1}}$

$p = \dfrac{\sqrt{r(st - 1)}}{st - 1}$

7 0

3 years ago

All parallellograms are squares true or false

Zepler [3.9K]

Answer:

false

Step-by-step explanation:

all parallelograms are not square

their opposite sides only equal

5 0

3 years ago

Solve the following inequality:

Advocard [28]

Answer:

The answer is a>-3

Step-by-step explanation:

option no. C

#Hope it helps uh......

8 0

3 years ago

Read 2 more answers

A group of 50 New York psychology students got a mean score of 530 on the psychology GRE with a standard deviation of 80. These

lesantik [10]

Answer: No, New York students are not truly more nerdy than the California students.

Step-by-step explanation:

Since we have given that

Number of students in a group = 50

Mean score of New York psychology = 530

Mean score of California psychology = 515

Standard deviation = 80

So, we will find t-distribution first.

$t=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{530-515}{\dfrac{80}{\sqrt{50}}}\\\\t=1.32$

Let α = 5% = 0.05

So, $t_{\alpha,2}=2.920$

Since t < t(critical value)

No, New York students are not truly more nerdy than the California students.

3 0

3 years ago

Find the complex zeros of x^3+27. write f in factored form

aliina [53]

$x^3+27=0
\\x^3+3^3=0
\\(x+3)(x^2-3x+9)=0
\\x^2-3x+9=0
\\a=1,b=-3,c=9
\\
\\x_{1,2}= \frac{-b\pm \sqrt{b^2-4ac} }{2a} = \frac{-(-3)\pm \sqrt{(-3)^2-4\times1\times9} }{2\times1} =\frac{3\pm \sqrt{-27} }{2} =\frac{3\pm 3\sqrt{3}i }{2} 
\\
\\(x+3)(x-\frac{3+ 3\sqrt{3}i }{2})(x-\frac{3- 3\sqrt{3}i }{2})=0

$

4 0

3 years ago