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
erik [133]
3 years ago
10

****WILL GIVE BRAINLIEST TO FIRST ANSWERER****

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0
Let's plug in each coordinate and see what we get:

(2, 0, 0)
-> 2A + 0 + 0 = D
-> 2A = D
-> A = D/2

(0, 6, 0)
-> 0 + 6B + 0 = D
-> 6B = D
-> B = D/6

(0, 0, 5)
-> 0 + 0 + 5C = D
-> 5C = D
-> C = D/5

plugging this back into the equation:
(D/2)x + (D/6)y + (D/5)z = D    [then divide through by D]
(1/2)x + (1/6)y + (1/5)z = 1
and since we have to have integer coefficients, 
multiply through by 30

so we get
15x + 5y + 6z = 30



Second question

<span>Take a look at the bottom-left point in the picture.
If you move three points in the y-direction, you'll reach to the  point A.
 If you instead move up 4 points (or in the z-direction), you reach D.
And finally, if you walk back to point F from point E, you'll have moved back 4 points in the x direction. </span>

<span>This gives us our measurements, or dimensions: 3 x 4 x 4.
If this were a rectangular prism, the dimensions would just be each of them multiplied.
 But since it's triangular, you need to divide it by two. That gives you a total volume of
(3x4x4)/2 = 24.</span>

You might be interested in
There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con
grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

\square ABCD

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD

\angle BAC = \angle  DCA

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC

and

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED

So, the congruent sides and angles of △ABE and △CDE are:

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD ---- S

\angle BAC = \angle  DCA ---- A

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED or \[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC  --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

4 0
2 years ago
When using the given diagram to determine the area of the pentagon by decomposition, which statements are correct?:
pogonyaev

Answer:

Options (B) and (E)

Step-by-step explanation:

Area of ΔABC = \frac{1}{2}(\text{Base})(\text{Height})

                        = \frac{1}{2}(14)(6)

                        = 42 in²

Area of trapezoid ADEC = \frac{1}{2}(b_1+b_2)h

[Here, b_1 and b_2 are the parallel sides and 'h' is the height of the isosceles trapezoid given]

= \frac{1}{2}(10+14)(8)

= 96 in²

Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC

                                    = 42 + 96

                                    = 138 in²

Therefore, Options (B) and (E) are the correct options.

6 0
3 years ago
Which diagram represents the postulate that states exactly one line exists between any two points?
Ivahew [28]

Answer:

C with points A and B on the line

5 0
3 years ago
Read 2 more answers
What is the value of the function when x = 2?
VARVARA [1.3K]

Answer: The answer is -2

Step-by-step explanation:

To make this easier, first draw or imagine a vertical line at x=2

Find where the vertical line and the graph intersects.

Draw or imagine that point of intersection.

Now, draw or imagine a horizontal line that goes through the point of intersection.

That horizontal line tells us the the value of the function by passing through that mark that says "-2"

The function's value at x=2 is -2.

(Vote me the brainliest)

5 0
3 years ago
Find the slope and y-intercept fotv
Verizon [17]
Look at the picture.

A(3;\ 2)\\\\the\ slope:\ m=\dfrac{2}{3}\\\\B(0; 0):\ y-intercept

3 0
3 years ago
Other questions:
  • (02.02)Pat paid $85.50 for renting a scooter for 6 hours. What was the rate per hour for renting the scooter? (Input only numeri
    9·1 answer
  • Please help show work and I’ll give brainliest
    7·1 answer
  • What is the answer too 509+35+12
    12·2 answers
  • What is 157% in a Fraction
    12·2 answers
  • Im a bit rusty on my graphing plz help me<br><br> which do you graph first x line or y line
    7·2 answers
  • 12(3+1)4 what is equivalent
    15·1 answer
  • 27 is 3 as many times aswhat number
    13·2 answers
  • Help please ASAP!!!!!!
    6·2 answers
  • Maggie had $4 in her wallet. If this is 16% of her monthly allowance, wha is her monthly allowance?
    13·2 answers
  • What is money? 1. A store of value2. A medium of exchange3. A measure of valuea. Money simplifies the exchange process because i
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!