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4 years ago

If I simplify (3b^3)^4 and in the end get 81b^12 how do I get there?

1 answer:

6 0

Everything inside of the parenthesis needs to be to the 4th root. So you can see it as:

3^4 * (b^3)^4

3^4 = 3*3*3*3 = 81

And using rules of exponents, you need to multiply those exponents.

b ^ (3*4) = b^12

Put them together... 81 b^12

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It’s length is 31 feet and it’s width is 24 feet. Suppose each pack of seed covers 12 square feet. How many pack of seed will he

OverLord2011 [107]

Answer:
62 packets

Steps:
31*24= 744
744/12= 62

6 0

3 years ago

Please can you give me help with answers. Thanks

Margaret [11]

1) 110+30+a = 180
a = 180-140 = 40
Obtuse angled triangle

2) 50+50+C = 180
C=180-100 =80
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4) 45+60+C = 180
C = 180-105 =75
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5) 94+47+b =180
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6)81+53+a = 180
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7) 38+45+b =180
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5 0

3 years ago

Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form

Anestetic [448]

Answer:

Final answer is $x-6y=23$

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

$\frac{1}{6}x+\frac{5}{6}=y$

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

$y-y_1=m\left(x-x_1\right)$

$y-(-3)=\frac{1}{6}\left(x-5\right)$

$y+3=\frac{1}{6}x-\frac{5}{6}$

$y=\frac{1}{6}x-\frac{5}{6}-3$

$y=\frac{1}{6}x-\frac{23}{6}$

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is $x-6y=23$

6 0

4 years ago

I don’t know how to do these problems so please help me.

Olin [163]

Answer:

36s^3

Step-by-step explanation:

3 0

3 years ago

Determine the equation of the line with slope 3 that passes through the point M(1, 2).

Mandarinka [93]

Answer:

Step-by-step explanation:

We are given the slope along with an (x, y) coordinate with which to write the equation. You could use this info in the slope-intercept form and solve for b, or you could use this info in the point-slope form and solve it for y. Trust me when I tell you that either one will get you the correct equation. Promise! I used the point-slope form, just because. ; )

y - 2 = 3(x - 1) and

y - 2 = 3x - 3 and

y = 3x - 1 OR in standard form, we will put the x and y terms on the same side of the equals sign, separated from the constant:

-3x + y = -1. But if we get picky and do not like to lead with negatives, we could change ALL the signs to their opposites (which is the same as multiplying the whole thing by a -1) to get

3x - y = 1 which is the third choice down.

4 0

3 years ago