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Sholpan [36]
3 years ago
11

9.A. (3, 6)B. (20, –4)C. (10, –1)D. (–1, 8)

Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Answer:

(10, –1)

Step-by-step explanation:

[1]XXXX3y=−12x+2

[2]XXXXy=−x+9

While it is not technically necessary, I find it easier to clear the fractions before actually beginning; so multiplying [1] by 2

[3]XXXX6y=−x+4

Substituting (from [2]) (−x+9) for y in [3]

[4]XXXX6(−x+9)=−x+4

Simplifying

[5]XXXX−6x+54=−x+4

[6]XXXX5x=50

[7]XXXXx=10

Substituting (from [7]) 10 for x in [2]

[8]XXXXy=−10+9=−1

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aliina [53]

Given:

The trigonometric equation is:

\tan x\sin x=\tan x\cos x

To find:

The solutions for the given equation over 0^\circ.

Solution:

We have,

\tan x\sin x=\tan x\cos x

It can be written as

\tan x\sin x-\tan x\cos x=0

\tan x(\sin x-\cos x)=0

\tan x=0 and (\sin x-\cos x)=0

The solutions over 0^\circ are:

x=90^\circ,180^\circ and \sin x=\cos x

x=90^\circ,180^\circ and x=45^\circ, 225^\circ

Therefore, the correct option is D.

3 0
3 years ago
What is the value of x?
satela [25.4K]

Answer:

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Step-by-step explanation:

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The difference between two whole numbers is 14. Their product is 1,800. What are the two numbers?
Soloha48 [4]
The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y

(14+y)y=1800
14y+y²=1800
y²+14y-1800=0

Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:

y₁=(-14-86)/2=-50     ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36    ⇒x=14+y=14+36=50

Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
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4 years ago
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