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Elis [28]
3 years ago
9

Help with this question? I got half of it, but can't seem to get the other half. Please explain how you got your answer. Thanks!

Mathematics
2 answers:
AlladinOne [14]3 years ago
7 0
<u>X - Intercept</u>
    x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
        x + 0 + 0 = 6
              x + 0 = 6
              <u>   - 0  - 0</u>
                    x = 6
X - Intercept: (6, 0, 0)

<u>Y - Intercept</u>
  x + 3y + 2z = 6
0 + 3y + 2(0) = 6
    0 + 3y + 0 = 6
    0 + 0 + 3y = 6
          0 + 3y = 6
        <u>- 0         - 0</u>
                <u>3y</u> = <u>6</u>
                 3     3
                  y = 2
Y - Intercept: (0, 2, 0)

<u>Z - Intercept</u>
x + 3y + 2z = 6
0 + 3(0)  2z = 6
  0 + 0 + 2z = 6
        0 + 2z = 6
      <u>- 0         - 0</u>
              <u>2z</u> = <u>6</u>
               2     2
                z = 3
Z - Intercept: (0, 0, 3)

<u>Volume of the X - Intercept, Y - Intercept, and Z - Intercept</u>
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
KIM [24]3 years ago
5 0

Answer:

Volume of the pyramid = 6 cubic units

Step-by-step explanation:

The volume of a triangular pyramid is: V = (1/3)*A*H

where A is the area of the triangle base, and H is the height of the pyramid.

Taking the triangle formed in the x-y plane as the base, its area is computed as follows:

A = (1/2)*6*2 = 6 square units

where 6 and 2 are the measure of the two perpendicular sides of the triangle.  This is taken from the x-intercept point  (6, 0, 0) and  y-intercept point  (0, 2, 0).

The height of the pyramid is then the measure of the z-intercept point (0, 0, 3), that is, 3. Replacing in volume formula:

V = (1/3)*A*H

V = (1/3)*6*3

V = 6 cubic units

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B - x=5

Step-by-step explanation:

If y=25 is 250% more than y=10, so multiply 2 by 250% and you get 5

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Answer:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

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According to the context clues provided by the author, what is a pesticide?

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Step-by-step explanation:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.

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3 years ago
The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish?
Nata [24]

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Step-by-step explanation:

3 0
2 years ago
What is the rate of change of y with respect to x for this function?​
lilavasa [31]

Answer:

Given the function: y=f(x) = 3x+2

when x=-2 at the beginning of the interval [-2, 5],

then;

y = 3x+2 begins at

y= 3(-2)+2 = -6+2= -4.

and

when x=5 at the end of the interval [-2, 5],

y = 3x+2 ends up at

y= 3(5)+2 = 15+2= 17.

So,

y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21

and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7

So, the average rate of change of y with respect to x over the interval

[-2, 5] is given by ;

=

Therefore, the average rate of change y with respect to x over the interval is, 3

Step-by-step explanation:

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Leokris [45]

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Read 2 more answers
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