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Alex
3 years ago
9

What is the solution to the system of equations y= -3x+6 y=9

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Answer:

<h2>C. (-1, 9)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=-3x+6\\y=9\end{array}\right\ \text{put the value of}\ y\ \text{to the first equation}\\\\9=-3x+6\qquad\text{subtract 6 from both sides}\\3=-3x\qquad\text{divide both sides by (-3)}\\-1=x\to x=-1

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1. M is the midpoint of LN and O is the midpoint of NP.
Reptile [31]
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4. 
The line would be 
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5. 
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
5 0
3 years ago
Alberto quiere envasar 32 toneladas de arroz en sacos de 15 kilogramos cada uno, ¿Cuántos sacos necesitarán?
Sveta_85 [38]
I don’t know what your saying
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3 years ago
John wants to see the formulas he has used in his spreadsheet but he does not want to see the results of the formulas. How does
vova2212 [387]
In order to see the formulas that you used in a spreadsheet, but doesn't want to see the results of the formulas, then just click on Show Formulas. That can be done by clicking the cell and click, show formula. Letter A.
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3 years ago
On your math quiz, you earn 5 points for each question that you answer correctly on your math quiz, and Y represents the total n
Sloan [31]

Answer:

y = 5x

Step-by-step explanation:

y = 5x  where x is the number of questions answered correctly

4 0
3 years ago
Read 2 more answers
Solve this with an explantion i will say thanks
melamori03 [73]

Answer: x=5

Step-by-step explanation:

divide both sides by the numeric factor on the left side, then that will give the answer for x

6 0
2 years ago
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