1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Make x the main subject<br> 6x+a=5(x+t)
ratelena [41]

Answer:

x=5t-a

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Suppose I have three variables in my dataset called testscr, str, and income. I first execute the command "reg testscr str, r".
IrinaVladis [17]

Answer:

4. It should be less than coefficient on str in the first regression

Step-by-step explanation:

Since the str and income are positively correlated and the coefficient on income in the second regression is positive, the coefficient on str in the second regression therefore should be less than coefficient on str in the first regression.

5 0
3 years ago
It says solve by factoring.
dsp73

Answer:

Alright well Graph each side of the equation. The solution is the x - value of the point of intersection k = 4.582 Hope this helps :)

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
In ΔDEF, what is sin D, in simplified form?
Igoryamba

Answer: second option.

Step-by-step explanation:

You must apply sin\alpha=\frac{opposite}{hypotenuse}

Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:

opposite=20\\hypotenuse=25

Therefore, when you substitute values, you have:

sinD=\frac{20}{25}

Reduce the fraction, then you obtain:

 sinD=\frac{4}{5}

5 0
3 years ago
Read 2 more answers
(Help needed ASAP I’m confused ) Solve the equation by using the distributive property first
Misha Larkins [42]
I got the answer. Use Brainly
4 0
3 years ago
Read 2 more answers
Other questions:
  • Draw lines to show much each person gets. write the answer. <br> 4 friends share 3 Orange equally
    7·1 answer
  • How do I solve for x in the equation 5^x=3125? Also in 5^x=1/125, 9^x=243, 4^x=1/32, and 3*2^x=96?
    5·2 answers
  • Simplify the expression completely <br>HELP ME ​
    8·2 answers
  • Don typically works 30 hours per week and earns $13.25 per hour. He is scheduled for a 3% pay increase next month. What will be
    10·2 answers
  • What is science and what are some examples of science 2 paragraphs.​
    9·1 answer
  • The graphs of functions f(x) and g(x) = f(x) + k are shown in the picture.
    13·1 answer
  • The football team has a total of 50jerseys. There are 35 medium sized jerseys. What percent of the jerseys are medium sized jers
    10·1 answer
  • Sinead bought 2 shirts for $15.81 each and a pair of shoes for $42.81. If she paid for the items with a $100 bill, how much chan
    5·2 answers
  • The highest mark in the Science test was 92. Three
    13·1 answer
  • A free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. the goalie is standing on
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!