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MAVERICK [17]
3 years ago
9

solve the following system of equations express your answers as an ordered pair in the format (a,b) with no spaces between the n

umber of symbols 3x+4y=16 -4x-3y=-19
Mathematics
2 answers:
UNO [17]3 years ago
8 0

Answer:

(4,1)

Step-by-step explanation:

The system of equations is

3x+4y=16......(1)\\-4x-3y=-19.....(2)

Multiply equation(1) by 4 and equation (2) by 3 and then add

12x-12x+16y-9y=64-57\\7y=7\\y=1

Plugging the value of y in equation (1)

3x+4(1)=16\\3x+4=16\\3x=12\\x=4

Hence, the solution to the given system of equation is (4,1)

Vlada [557]3 years ago
3 0
The answer to your question is (4,1)
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Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )​
levacccp [35]

Answer:

A.  \displaystyle \frac{1}{2}

General Formulas and Concepts:

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA  
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

sin 30°

<u>Step 2: Solve</u>

Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.

Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.

Substituting it into sin, we have:

sin 30° = 1/2 = 0.5

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3 0
2 years ago
The question about btw if answer correctly I’ll give brainalist + 10 points this is half my grade so please be truthful in your
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6 0
3 years ago
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
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