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SCORPION-xisa [38]
3 years ago
12

What are the intercepts of the equation 4x+6y+2z=12?

Mathematics
2 answers:
Bond [772]3 years ago
6 0

Answer:

The answer is D

Tpy6a [65]3 years ago
3 0

Answer: (3, 0, 0), (0, 2, 0), (0, 0, 6)

Step-by-step explanation:

The x intercept is the point where the graph intersects the x axis.

To find this, we single out x.

4x  = 12 - 6y - 2z

x    = 3  - 3y/2 - z/2

The constant in the graph is 3. Therefore the x intercept is 3, where z and y are 0. ( y and z have to be 0 for the graph to intersect the x axis) The x intercept is (3,0,0)

Note that we gained this value by dividing the constant in the original graph (in this case 12), by the coefficient of the variable whose intercept we needed to find.

So we can find the y intercept by dividing 12 by the y coefficient, 6. Therefore the y intercept is (0,2,0)

Similarly the z intercept is found by dividing 12 by the z coefficient, 2.

Therefore, the z intercept is (0,0,6)

So the intercepts of your graph are (3,0,0), (0,2,0),(0,0,6)

Hope i helped you!!! :)

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7/8 of a rectangle is colored red. Damien cuts this red part into a number of pieces so that each piece is 1/24 of the whole rec
Degger [83]

Answer: Damien has 21 red pieces

Step-by-step explanation:

First, 7/8 of the rectangle is coloured red.

Then, the 7/8 was cut into a size 1/24 of the rectangle each.

That consequently means that 24 of those pieces will form the whole shape.

Since red covers 7/8 of the rectangle, the number of red pieces invariably becomes

⅞ × 24 pieces, which is equal to 21 pieces

Therefore, Damien has cut the red part of the rectangle into 21 pieces

7 0
3 years ago
A trail mix recipe calls for 1 1/2 cups granola, 3/4 cups raisins, and 2/3 cup of peanuts. How many cups of trail mix does the r
viva [34]

Answer:1 11/12 CUPS OF TRAIL MIX

Step-by-step explanation:

1 1/2= 1 6/12

3/4=9/12

2/3=8/12

9/12+8/12=17/12=1 5/12

1 5/12+ 1 6/12= 1 11/12

5 0
2 years ago
Can someone help me out???
iVinArrow [24]

Answer:

sorry

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tahk. Wh
kvasek [131]

Answer:

2002 pounds

Explanation:

To know the weight of the plane, we need to find an equation that relates the amount of fuel to the weight.

This equation can be founded using the following

y-y_1=m(x-x_1)

Where m is the slope, x1 is the number of gallons and y1 is the respective weight. So, replacing m = 6.0, x1 = 51 gallons and y1 = 2206 pounds, we get:

y-2206=6(x-51)

Now, we can solve for y

\begin{gathered} y-2206=6(x)-6(51) \\ y-2206=6x-306 \\ y=6x-306+2206 \\ y=6x+1900 \end{gathered}

Then, we can calculate the weight of an airplane with 17 gallons of fuel replacing x = 17 on the equation above

y = 6x + 1900

y = 6(17) + 1900

y = 102 + 1900

y = 2002

Therefore, the answer is 2002 pounds

5 0
1 year ago
1+1=<br> Easy question :&gt;
Veseljchak [2.6K]

1+1= 2

Big brain >:3 Ty for the points tho ^^

3 0
3 years ago
Read 2 more answers
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