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2 years ago

Which statement is true?

Mathematics

1 answer:

aivan3 [116]2 years ago

5 0

Answer:

Step-by-step explanation:

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How many solutions does this linear system have? y =2/3 x+ 2 6x – 4y = –10

ZanzabumX [31]

2. They are both straight lines. The solution of a linear system is where the two lines intersect, and if they're both straight lines, then they can only cross once.

See the picture attached.

8 0

3 years ago

Pleasee help mee 12sin(x)-5cos(x)=6,5

abruzzese [7]

We turn -5,12 into polar coordinates. It's a Pythagorean Triple so

r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k integer k

x = Ф ± 60° + 360° k

x = 180° + arctan(-12/5) ± 60° + 360° k

That's the exact answer;

x ≈ 180° - 67.38° ± 60° + 360° k

x ≈ 122.62° ± 60° + 360° k

x ≈ { 62.62°, 182.62°} + 360° k, integer k

3 0

2 years ago

What is 1248x16=______ Guys please help Have a good one!

AfilCa [17]

Answer:

19968

Step-by-step explanation:

Use the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

4 0

2 years ago

SOMEONE PLEASE HELLPPPP

ipn [44]

Answer:

93.39

Step-by-step explanation:

So the sum of exterior angles of the convex octagon is: 360 degrees

This means if we add all the equations that represent each angle, we can set it equal to 360 and solve for x

$(x+14) + (2x-3) + (3x+8) + (3x+16) + (2x-17) + (3x-4) + (3x-12) + (6x)$

Group like terms

$(x+2x+3x+3x+2x+3x+3x+6x) + (14-3+8+16-17-4-12)$

Add like terms

$23x+2$

Now let's set the sum of exterior angles to 360

$23x+2 = 360$

Subtract 2 from both sides

$23x=358$

Divide both sides by 23

$x\approx 15.565$

So by looking at all these, it appears that 6x is the highest value, given that x is positive. The way I estimated, is approximately 15.5, whenever I saw an equation like x+14, I estimated it's about 2x, since 14 is not exactly, but close to 15.5. I did this with each polynomial given. You could also manually check each one

Original equation

Subsitute

6(15.565)

Simplify

$93.39$