You have the correct axis of symmetry value. Nice work.
Plug that x value into the equation to get...
y = -2x^2 - 12x - 10
y = -2*(-3)^2 - 12*(-3) - 10 <<-- replace every x with -3; then use PEMDAS
y = -2*(9) - 12*(-3) - 10
y = -18 + 36 - 10
y = 18 - 10
y = 8
The vertex is the ordered pair (-3, 8)
Note: the axis of symmetry is the vertical line through the vertex
Answer:
(-1,-2) OR x = -1 and y = -2
Step-by-step explanation:
y = 3x + 1
y = -x -3
so you would first multiply everything on y = -x -3 by 3 and get 3y = -3x -9
so then you would add 3y = -3x -9 to y = 3x + 1 (<u> to eliminate the x</u> )which would be 4y = -8 then divide by 4 and get <u><em>y = -2</em></u>
then you plug in y = -2 into any one of the equations but to make it easier i am going to plug it into y = -x -3 so now it would be -2 = -x - 3 then, add 2 to both sides which would be 0 = -x -1 then add 1 to both side 1 = -x then multiply both sides by -1 and get <u><em>x = -1</em></u>
<u><em>SO your answer would be </em></u> (-1,-2) OR x = -1 and y = -2 ( both of them are correct but it depends on what the teacher taught you)
Answer:
75600
Step-by-step explanation:
We are given that a word MATHEMATICS
Total letters =11
M repeated 2 times
T repeated 2 times
A repeated 2 times
Total vowels=4
Let MTHMTCS=P
Total number of ways in which MTHMTCS can be arranged=
PAEAI
Total number of ways in which PAEAI can arranged=
Total number of arrangements when all consonant appear together=
Total number of arrangements when all consonant appear together=
By using formula ;
Answer:
-7
Step-by-step explanation:
They both are perpendicular lines. Which means that their slopes are opposite reciprocals.
If you are trying to figure out how many marbles Timmy gave away, let's see -
All you really do is divide 24 into 6 pieces, then take 1 piece and count how many is in that one piece. Let's do it -
24 ÷ 6 = 4
See? Super easy, right? 1/6 of 24 marbles is equal to four marbles.
↑ ↑ ↑ Hope this helps! :D
