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Natali5045456 [20]
3 years ago
10

The three steps below were used to find the value of the expression

Mathematics
1 answer:
barxatty [35]3 years ago
8 0
(-10+2)= -8 -8-1= -9 The answer is c
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Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}=  \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0
3 years ago
What is the quotient 8 x 4 − 12 x 2 − 16 x 4 x , where x ≠ 0 ?
Nat2105 [25]

Answer:

that = 8 and if you want to see more you can go on

5 0
3 years ago
Isabella has 2 1/4 oranges. Colleen has 3 1/4 oranges. How many all together?
pentagon [3]
The answer is 5 1/2.
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3 years ago
Read 2 more answers
Find the volume of the shaded figure by subtracting the smaller volume from the larger
alekssr [168]

Answer:

a. 9a^3 - 9ab^2

b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

6 0
4 years ago
Megan is going to paint the front door of her house. In order to purchase the correct amount of paint, Megan needs to calculate
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Answer: You need to calculate the Area  because it is a space being occupied.  

Step-by-step explanation:

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