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vovangra [49]
4 years ago
10

What is the equation of the plane that contains the triangle shown in the diagram *answers in question*

Mathematics
2 answers:
natulia [17]4 years ago
6 0
Consider, pls, the offered option:
1. knowing points on the graph (2;0;0), (0;5;0) and (0;0;4) it is possible to check an equation.
2. only equation 10x+4y+5z=20 is right if to substitute coordinates in it.
Answer: 10x+4y+5z=20
LiRa [457]4 years ago
5 0

Answer:

Option C is correct.

10x+4y+5z =20

Step-by-step explanation:

The intercept form of the equation of plane is given by:

\frac{x}{a}+\frac{y}{b} +\frac{z}{c} = 1    .....[1]

where

a is the intercept of x-axes

b is the intercept of y-axes and

c is the intercept of z-axes

From the given diagram:

a = 2

b = 5

c = 4

Substitute these in equation [1] we have;

\frac{x}{2}+\frac{y}{5} +\frac{z}{4} = 1

LCM of 2, 5 and 4 is 20

\frac{10x+4y+5z}{20} = 1

Multiply equation 20 both sides we get;

10x+4y+5z =20

Therefore, the equation of plane that contains the given triangle is, 10x+4y+5z =20


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Pleaseeeee help me. i really need it.
deff fn [24]

comparing the relation given

thus y= -2x +1 to the general equation of a line

where y= mx + c

where m is the gradient and c is the intercept on the y-axis.

from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

\frac{ - 1}{m}

so substituting the value of m in to the equation

\frac{ - 1}{ - 2}

=

\frac{1}{2}

as the gradient

equation of line is given by

y - y1 = m( x-x1)

from the question y1= -2 and x1=1

substitute them

y-(-2) = 1/2 (x -1)

y+2 =1/2 (x-1)

multiplying through by 2

2 (y+2) = x-1

2y +4 = x-1

2y =x-1-4

2y =x-5

x -2y -5 = 0

therefore the equation for the line is x-2y -5=0

7 0
3 years ago
У - 6x = ||<br> -77<br> - 2x-3y=-7
Maksim231197 [3]

Answer:

<h2>x= 37/16</h2><h3>y=199/8</h3>

Step-by-step explanation:

1....y=11+6x

-77-2x+3y=-7

replace y by ..1..

so   -77-2x+3(11+6x)=-7

-77-2x+33+18x=-7

-44+16x=-7

16x=37

y=11+6x

replace x by 37/16

y=11+6*37/16

y=199/8

6 0
3 years ago
Help 6th grade math i will give brainliest to the person who answers all
Dominik [7]

Answer:

1. Equivalent

The rest are not

Step-by-step explanation:

This is my thinking, sorry if I got it wrong...

In the first pair, 6 will be multiplied by 5, which is 30, the 6 will be multiplied by x as well. The second one is not equivalent as 4 is not multiplied. The last one is that y did not get multiplied.

3 0
3 years ago
List the following numbers from greatest to least: -5, 4, 0, |-3|, -6, 2<br><br> 6th grade integers
strojnjashka [21]

Answer:

4, 2, |-3|, 0, -5, -6

Step-by-step explanation:

7 0
3 years ago
If Mr. Smith had $210,500 in an account that earned $2,000 in interest in 7 years, how much money would he have in the account a
Anton [14]

Answer:

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