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Irina-Kira [14]
3 years ago
15

How to answer x+3y=12

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

X = 12 - 3 y , y e r

Step-by-step explanation:


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The length of a rectangular jewelry box is 3 in. more than twice the width. the perimeter is 36 in. find the length and the widt
Lisa [10]
Width: x
Length: 2x+3
Perimeter=x+x+2x+3+2x+3=6x+6
6x+6=36
x=5
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Length= 2(5)+3=13 in.
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You walk 20 meters north, then 5 meters south. what is your displacement?
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I have 69 Games and 1 friend took 15, and 3 others took 20. How many games do I have left?
AnnyKZ [126]

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Step-by-step explanation:

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3 years ago
Read 2 more answers
BRAINLIEST IF CORRECT AND EXPLANATION <br> Solve each equation in the interval [0, 2pi)
victus00 [196]

Answer:  \frac{\pi}{2}, \ \frac{5\pi}{4}, \ \frac{3\pi}{2}, \ \frac{7\pi}{4}

We can write the four solutions as:  pi/2, 5pi/4, 3pi/2, 7pi/4

=============================================================

Work Shown:

\sqrt{2}\cot(x)\sin(x)+\cot(x)=0\\\\\cot(x)\left(\sqrt{2}\sin(x)+1\right)=0\\\\\cot(x)=0 \ \text{ or } \ \sqrt{2}\sin(x)+1=0\\\\\frac{\cos(x)}{\sin(x)}=0 \ \text{ or } \ \sqrt{2}\sin(x)=-1\\\\\cos(x)=0*\sin(x) \ \text{ or } \ \sin(x)=\frac{-1}{\sqrt{2}}\\\\\cos(x)=0 \ \text{ or } \ \sin(x)=\frac{-\sqrt{2}}{2}\\\\

Use the unit circle or reference sheet to find that \cos(x)=0 leads to x = \frac{\pi}{2} \ \text{ and } \ x =  \frac{3\pi}{2} when working with the interval [0,2pi)

Also, use of the unit circle would show that \sin(x)=\frac{-\sqrt{2}}{2} leads to x = \frac{5\pi}{4} \ \text{ and } \ x =  \frac{7\pi}{4} when working with the interval [0,2pi)

-----------

Overall, the four solutions on the interval [0, 2pi) are

\frac{\pi}{2}, \ \frac{5\pi}{4}, \ \frac{3\pi}{2}, \ \frac{7\pi}{4}

To verify these solutions, plug them in one at a time into the original equation. You should end up with 0 = 0 after simplifying. Make sure your calculator is in radian mode.

3 0
3 years ago
Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer th
Lorico [155]

Answer:

<h2>The shorter side is 6 ft and the longer side is 11 ft</h2>

Step-by-step explanation:

The options are not given, but we could solve and arrive at an answer

say the shorter side is x

and the longer side is x+5

we know that the area of a rectangle is given as

x*(x+5)=66

open the bracket

x^2+5x=66

x^2+5x-66=0

Find two factors of  -66  whose sum equals the coefficient of the middle term, which is   5 .

the factors are 11 and -6

splitting the middle term using the two factors  11  and  -6

x2 +11x - 6x - 66=0

x(x+11)-6(x+11)=0

(x-6)=0

x=6

(x+11)=0

x=-11

The shorter side is 6 ft and the longer side is 11 ft

4 0
3 years ago
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