Answer:
(x+3)^2+4 or x^2+6x+13
Step-by-step explanation:
The number in the parenthesis means the translation from the original left or right. The second number (outside of the parenthesis, in this case 2), is the translation from the original up or down. So, if the question were shift the graph of this function two units <em><u>down</u></em>, then the second number would <em><u>decrease</u></em> by 2. However, because the equation is shift the graph up 2 units, then you would <u><em>add </em></u> 2 to the second number. Same thing with the number inside of the parenthesis.
No an obtuse angle does not have a complement
Answer:
x = 3/2 ± 
/2
Step-by-step explanation:
4x²-12x+9 = 5
Rearrange:
4x²-12x+4 = 0
Solve using the quadratic equation:
x = 3/2 ± /2
4 less (-4) 5 times a number (5n) is (=) 11 (11)
-4+5n=11
add 4 to both sides
4-4+5n=11+4
0+5n=15
5n=15
divide both sides by 5
5n/5=15/5
1n=3
n=3
the number is 3
Answer: x = - 16
y = - 11
Step-by-step explanation:
The given system of linear equations is expressed as
2x - 3y = 1- - - - - - - - - - - - -1
x - 2y = 6 - - - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 1 and equation 2 by 2. It becomes
2x - 3y = 1- - - - - - - - - - -3
2x - 4y = 12- - - - - - - - - - - -4
Subtracting equation 4 from equation 3, it becomes
y = - 11
Substituting y = - 11 into equation 2, it becomes
x - 2 × - 11 = 6
x + 22 = 6
Subtracting 22 from the left hand side and the right hand side of the equation, it becomes
x + 22 - 22 = 6 - 22
x = - 16
