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Dafna11 [192]
3 years ago
9

What is the equation of the plane that contains the triangle shown in the diagram?

Mathematics
2 answers:
Anastaziya [24]3 years ago
6 0
The first equation

2x + 3y + 6z = 12
kolezko [41]3 years ago
3 0

Answer:

Option A is correct.

2x + 3y +z = 6

Step-by-step explanation:

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

\frac{x}{l}+\frac{y}{m} +\frac{z}{n} =1            .....[1]

where

l is the intercept of x-axes

m is the intercept of y-axes and

n is the intercept of z-axes respectively;

From the given figure;

we have;

The intercepts of coordinates axes are;

l = 3

m = 2

n = 6

Substitute these values in the equation [1]; we have;

\frac{x}{3}+\frac{y}{2} +\frac{z}{6} =1  

Taking LCM of 3, 2 and 6 is 6

2x + 3y +z = 6

therefore, the equation of plane that contains the triangle as shown in the diagram is, 2x + 3y +z = 6

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mars1129 [50]

Answer:White Paintings

Step-by-step explanation:

In 1951, Robert Rauschenberg painted some stretched canvanses a plain, solid white, leaving minimal roller marks. Each of his works consist of different number of panel iterations ( one to seven panels) which are collectively known as 'the white paintings'.

7 0
3 years ago
Please help! Will mark brainless​
KengaRu [80]
Here’s what you can do to make this very simple. Consider that the “missing” space between the rectangles isn’t there. Then, find the area:

10 x 9 = 90 mm

Now, find the area of the “missing” part.

5 x 2 = 10 mm

Finally, you deduct the missing part from the complete rectangle!

90 - 10 = 80 mm

The area of this whole thing is 80 mm!

4 0
2 years ago
Read 2 more answers
The vehicles petrol tank has a capacity of 40 litres. Will the vehicle be able to cover the full distance of 340km with on petro
mixer [17]

The vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Since the vehicles petrol tank has a capacity of 40 litres and the bvehicles wants to cover a distance of 340 with a pertol usage of 14 km/l.

We need to determine if the petrol in the tank will be enough to cover that distance.

<h3>Distance</h3>

So, distance = petrol usage × volume of tank

Since

  • petrol usage = 14 km/l and
  • volume of tank = 40 l,

Substituting the values of the variables into the equation, we have

distance = petrol usage × volume of tank

distance = 14 km/l × 40 l

distance = 560 km

Since the distance covered = 560 km which is greater than 340 km, the vehicle will be able to cover the full distance.

So, the vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Learn more about distance here:

brainly.com/question/10428039

5 0
2 years ago
Help, 50 points
AnnyKZ [126]

Answer:

above is the solution to the question

5 0
3 years ago
When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full
blondinia [14]
<h3>Answer:</h3>

The tank can hold up to 9 gallons.

Quick Review:

By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.

7/12 * 12/7 = 1

Doing the Problem:

By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.

5 1/4 ---> 21/4

Okay, lets go!

21/4 * 12/7 = 252/28

<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>

Hope that helps, :)

6 0
3 years ago
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