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3 years ago

Solution set for 6 tan 3x=6

1 answer:

8 0

$6\tan3x=6\ \ \ \ |divide\ both\ sides\ by\ 6\\\\\tan3x=1`\\\\3x=\dfrac{\pi}{4}+k\pi\ \ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\dfrac{\pi}{12}+\dfrac{k\pi}{3}\ where\ k\in\mathbb{Z}}$

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Write a translation rule that maps point D(7,-3) onto point D'(2,5).

Sergio039 [100]

We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'

6 0

3 years ago

Read 2 more answers

Im not sure if anyone knows how to do this but if u do could u pleaseee help me with this!!!

slavikrds [6]

Answer:

y = -2x - 5

Step-by-step explanation:

<u>1) Find the slope of the line.</u>

The slope of the original line is the same as the slope of the parallel line.

Slope formula:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

In this case you can choose any 2 set of points on the table.

$m = \frac{4 - 2}{-3 - (-2)}$ = $\frac{4 - 2}{-3 + 2}$ = $\frac{2}{-1}$ = -2

So the slope of the line is -2

<u>2) Use the point-slope formula to find the equation of the line.</u>

Point-slope formula:

$y - y_{1} = m(x - x_{1})$

Now plug in the point (0, -5) and the slope -2 into the equation.

y - (-5) = -2(x - 0)

y + 5 = -2(x - 0)

To solve the equation first apply the distributive property.

y + 5 = -2x + 0

y + 5 = -2x

Next, subtract 5 from sides.

y = -2x - 5

You know have your equation in point-slope form!

6 0

3 years ago

3. One of the graphs represents

faltersainse [42]

Answer:

3x-2y=6

Step-by-step explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

y=-3+ $\frac{3x}{2}$

Rewrite in slope-intercept form

y= $\frac{3}{2} *-3$

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and b using the form y=mx+b

$m=\frac{3}{2}$

$b=-3$

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: $\frac{3}{2}$

y-intercept: -3

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Choose 0 to substitute in for x to find the ordered pair.

(0,−3)

Choose 1 to substitute in for x to find the ordered pair.

$(1,-\frac{3}{2} )$

Graph the line using the slope and the y-intercept, or the points.

slope: $\frac{3}{2}$

y-intercept:-3

5 0

3 years ago

What is equal to n in this equation

IRISSAK [1]

Answer:

n = -45

Step-by-step explanation:

(n-5) /10 = -5

Multiply each side by 10

(n-5) /10 *10= -5*10

n-5 = -50

Add 5 to each side

n-5+5 = -50+5

n = -45

4 0

3 years ago

Which expression can be used to find measure angle R

Novay_Z [31]

Answer:

cos-1(-4/14)

Step-by-step explanation:

4.5=r

3.5=s

2=t

By law of cosines:

$r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )$

4 0

2 years ago