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Novay_Z [31]
2 years ago
6

Solve the equation.

Mathematics
1 answer:
Gelneren [198K]2 years ago
5 0

Answer:

x=-5/4 or x=9/4

Step-by-step explanation:

2 - 4x = -7

-4x = -7 - 2

-4x = -9

x = 9/4

or

2 - 4x = 7

-4x = 7-2

-4x = 5

x = -5/4

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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
If tan x° = 11 divided by r and cos x° = r divided by s , what is the value of sin x°
Oksana_A [137]
Sin x =11.r We know tan x = sin x divided cos x If you plug in 11 instead of tan x and r for cos x you will have the answer
4 0
3 years ago
a line that includes the point (3,4) has a slope of 2. what is the equation in the slope-intercept form?
Andreas93 [3]

Answer:

y=2x-2

Step-by-step explanation:

<em>the slope is y/x</em>

the slope is 2 or 2/1

<em>subtract 2 from the y value and 1 from the x value</em>

(3-1,4-2) = (2,2)

<em>keep doing this until you get a 0 in the x value</em>

(2-1,2-2) = (1,0)

<em>1 is your x-intercept</em>

(1-1,0-2) = (0,-2)

-2 is your y intercept.

So now you know your y-intercept and your slope so you can now write your equation.

<em>y=mx+b</em>

<em>m=slope, b=y-intercept</em>

m=2, b=-2

<em>substitute into the equation</em>

y=2x-2

8 0
3 years ago
URGENT MATH HELP DUE BY 12:00 PM!
Sedaia [141]
I think D is the correct answer.
3 0
3 years ago
20. Which measurement (with its units) is plotted on the x-axis?
bagirrra123 [75]

Answer: can you put the picture so I can tell you more? The x axis is the horizontal line. It has negatives on the left and positives on the right. Hope this helps!

Step-by-step explanation:

8 0
3 years ago
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