What would you need to multiply by in order to solve this system of equations using the linear combination (elimination) method?

1 answer:

3 0

<span>D) Multiply the 1st equation by 5 and multiply the 2nd equation by 2. This will eliminate the y's when you add the two new equations together.</span>

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Find parametric equations for the tangent line at the point (cos(3pi/6),sin(3pi/6), (3pi/6))

r-ruslan [8.4K]

$r(t)=(\cos{t},\sin{t},t)
\\r'(t)=(-\sin{t},\cos{t},1)
\\t= \frac{3\pi}{6} = \frac{\pi}{2}
\\ r'(t)=(-\sin{\frac{\pi}{2}},\cos{\frac{\pi}{2}},1)
\\ r'(t)=(-1,0,1)
\\
\\x=0+t(-1)=-t
\\y=1+t\times 0=1
\\z= \frac{\pi}{2} +t$

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3 years ago

What is 5.03 rounded to the nearest decimal place

oksano4ka [1.4K]

5 is the answer answer

6 0

2 years ago

A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?

ale4655 [162]

Answer:

y = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: $( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y = −1/3x+17/3

7 0

3 years ago

The zeros of a quadratic function are 4 and 8. What is the axis of symmetry of the function?

alexgriva [62]

So if you want to have a factored form...

If the zeroes are +4 and +8, you would write
(X-4) (x-8)
Then you would multiply it out to get to quadratic form...

So, (x-4)*(x-8)
X^2 - 12x + 32

Then you would plug it into the formula for axis of symmetry...
X= -b/2a

X=12/2 = 6

X=6

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2 years ago

If I have the letter x after a number, what does it mean?<br><br> Ex. 20x = 5

Rzqust [24]

Answer:

It means that 20 times x is 5

also the answer to that problem (20x=5) is 1/4

Step-by-step explanation:

20x means

20 * x

and since 20 * x = 5

divide 5 and 20

5/20 = 1/4

4 0

2 years ago