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masha68 [24]
3 years ago
9

Which ordered pair is a solution of the equation? y=8x+3y=8x+3

Mathematics
2 answers:
jeyben [28]3 years ago
7 0

y=8x+3y=8x+3

the answer is (7,4) i think

_queenshadygucci_

Mrac [35]3 years ago
3 0

Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:  

8x-20y = -24

8x +3y = 68

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

0 -23y = -92  

Now divide both sides by -23:  

y = 4  

Find x by plugging y=4 into either equation:  

8x +3(4) = 68

8x = 68 - 12

8x = 56

x = 7  

So the answer is ordered pair is (7,4)

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What is the value of x?<br><br> A. 4<br><br> B. 4√3<br><br> C. 8<br><br> D. 8√3
SashulF [63]

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B. 4√3

Step-by-step explanation:

\sin \: 60 \degree =  \frac{x}{8}  \\  \\  \therefore \:  \frac{ \sqrt{3} }{2}  = \frac{x}{8} \\  \\  \therefore \: x =  \frac{8 \times  \sqrt{3} }{2} \\  \\  \therefore \: x =  4 \times  \sqrt{3}\\  \\  \huge \purple{ \boxed{ \therefore \: x =  4 \sqrt{3} }}\\

4 0
3 years ago
9. Find the volume of the triangular pyramid. (2pts)-10 mI9 m16 m
Makovka662 [10]

Answer:

240 m³

Explanation:

The volume of a pyramid is equal to:

V=\frac{1}{3}\times B\times H

Where B is the area of the base and H is the height of the pyramid.

Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

B=\frac{b\times h}{2}

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

B=\frac{16\times9}{2}=\frac{144}{2}=72m^2

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

V=\frac{1}{3}\times72\times10=\frac{1}{3}\times720=240m^3

Therefore, the volume is 240 m³

4 0
1 year ago
Help!!! please!!! Confused!
OleMash [197]
∵AB=CB
∴∠BAC=∠BCA

∵AB bisect ∠MAT
∴∠MAB=∠TAB

Hope my answer helped u :)
4 0
3 years ago
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