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Marysya12 [62]
3 years ago
7

Which literal equations are equivalent to ? Choose all answers that are correct.

Mathematics
1 answer:
vazorg [7]3 years ago
7 0
a.\\g=\frac{w}{m}\ \ \ \ |multiply\ both\ sides\ by\ m\neq0\\\\w=gm\ \boxed{c.}\\\\therefore:\boxed{a.}\ is\ equivalent\ to\ \boxed{c.}\\\\b.\\g=\frac{m}{w}\ \ \ \ |multiply\ both\ sides\ by\ w\neq0\\\\gw=m\ \ \ \ |divide\ both\ sides\ by\ g\neq0\\\\w=\frac{m}{g}\ \boxed{d.}\\\\therefore:\boxed{b.}\is\ equivalent\ to\ \boxed{d.}
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Find an equation of the plane passing through (0 comma negative 1 comma 1 )that is orthogonal to the planes 3xplus4ynegative 3ze
galben [10]

Answer:

The equation of plane is

22x -3y+18z = 21

Step-by-step explanation:

We have to find the equation of plane passing through the point (0,-1,1) and orthogonal to the planes

n_1:3x + 4y-3z = 0\\n_2:-3x + 2y + 4z = 5

Thus, we can write:

n_1:\\n_2:

We will evaluate:

n = n_1\times n_2\\\\n = \left[\begin{array}{ccc}i&j&k\\3&4&-3\\-3&2&4\end{array}\right] \\\\n = i(16 + 6)-j(12-9) +k(6+12)\\n = 22i-3j+18k\\n =

The required plane passes through the point (0,-1,1)

Thus, the equation of plane is

n.=0\\\Rightarrow .=0\\\Rightarrow 22(x) -3(y+1) + 18(z-1) =0\\\Rightarrow 22x - 3y - 3 + 18z - 18 = 0\\\Rightarrow 22x -3y+18z = 21

is the required equation of the plane.

7 0
3 years ago
Find the area of the trapezoid<br><br> A. 168 in^2<br> B. 94.5 ft^2 <br> C. 72 ft^2<br> D. 84 ft^2
Rainbow [258]

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

A=\frac{a+b}{2} h

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84

Hence, the area of the trapezoid is 84ft² and your answer is D

4 0
2 years ago
How to do it and how to work it out and stuff
gogolik [260]
Oof I had that question and I was so stuck on it I still dont know it till this day ah life is hard
8 0
3 years ago
Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5
lakkis [162]

Sorry for the late response :<

Answer:

The unit rates would be comparable for both races. So, his speed is going to be the same for both races.

<3

8 0
2 years ago
Read 2 more answers
Giovanna and Janet have jobs where they get paid by the hour .Below are the numbers of hours of each have worked on each of the
Harman [31]
I would need more information to help you. Like the numbers of hours worked, amount of money made, and the statements.
5 0
3 years ago
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