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pickupchik [31]
3 years ago
13

Can l please get help ​

Mathematics
1 answer:
maria [59]3 years ago
4 0

Answer:

-10x^2 +9+8x^2-5x+7=-2x^2-5x+16

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Solve the equation. And write all solutions in general form.
Amiraneli [1.4K]

Answer:

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Step-by-step explanation:

8 cos^2 x + 4 cos x-4 = 0

Divide by 4

2 cos^2 x +  cos x-1 = 0

Let u = cos x

2 u^2 +u -1 =0

Factor

(2u -1) ( u+1) = 0

Using the zero product property

2u-1 =0    u+1 =0

u = 1/2      u = -1

Substitute cosx for u

cos x = 1/2    cos x = -1

Take the inverse cos on each side

cos ^-1(cos x) = cos ^-1(1/2)   cos ^-1( cos x) =cos ^-1( -1)

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

8 0
3 years ago
Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0
Stells [14]

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = \frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}

                    = -\frac{16}{8}

                    = -2

and y = \frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}

         = -\frac{40}{8}

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

4 0
3 years ago
A number increased by 6 is 13. What is the number?*
Oliga [24]

Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

4 0
3 years ago
You usually buy a 5.4 ounce bottle of lotion. There is a new bottle that says it gives
tangare [24]

Answer:

5.4 · 0.2

1.08 = 20%

5.4 + 1.08

6.48 ounce bottle

3 0
2 years ago
Write the equation of the parabola with a focus of (-5,0) and directrix of x=7
ad-work [718]

Answer:

\left(y-5\right)^2=-14\:\left(x-\frac{7}{2}\right)

Step-by-step explanation:

5 0
3 years ago
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