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3 years ago

Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5

1 answer:

4 0

7sin²x-14sinx+2= -5
7sin²x-14sinx+7=0
7(sin²x-2sinx+1)=0
sin²x-2sinx+1=0
(sinx-1)(sinx-1)=0
sinx-1=0
sinx=1
$x= \frac{ \pi }{2} +2n \pi$ where n is an integer

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aksik [14]

To find slope between two given points:
(y2-y1)/(x2-x1)
Find the difference between the first two points
12-9.5/2-1 = 2.5/1 = 2.5
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17-14.5/4-3 = 2.5/1 = 2.5
The rate of change between each point is 2.5

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3 years ago

jessica's mother gave her 70 chocolates to give to her friends. She gave 3 chocolates to each of her friends at the party and ha

Blizzard [7]

Answer:

She had 22 friends at her graduation party.

Step-by-step explanation:

70 chocolates total minus 3 chocolates times the number of friends she had at the party = 4

70-3x=4

Subtract 70 from both sides of the equation

-3x=4-70

Simplify

-3x=-66

Divide both sides of the equation by -3

-3x/-3=-66/-3

Simplify

x=22

8 0

3 years ago

You are one of 55 people whose name will be drawn for a prize. What is the probability that your name will be drawn first?

suter [353]

Your answer will be 1/55 or A because, at the beginning of the problem it states "you are one of 55 people" ((:

8 0

3 years ago

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

mars1129 [50]

The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$
a1=1
r=2
we want to find $S_{10}$ (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

$S_{10}=\frac{1(1-2^{10})}{1-2}$
$S_{10}=\frac{(1-1024}{-1}$
$S_{10}=\frac{(-1023}{-1}$
$S_{10}=1023$

3 0

3 years ago

Read 2 more answers

Vitek1552 [10]

Answer:

Given :

→x-y=12

→xy= 3²

Equation formed:

${(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy$

Step by step explanation:

${(12)}^{2} = {x}^{2} + {y}^{2} - 2 \times 9 \\ 144 + 18 = {x}^{2} + {y}^{2} \\ = 162$

hope it helped you:)

8 0

3 years ago