Answer:
x
45,000
Step-by-step explanation:
2x+4y=16
x-7=-4y
4y=16-2x
<span>4y=16-2(-4y+7)
4y=16+8y-14
-4y=2
-4y/-4=2/-4
<u>y=-0,5</u>
2x=16-4(-0,5)
2x=16+2
2x/2=18/2
<u>x=9
</u>
C</span>
Answer: So, the coterminal angle of 450° is -90°.
Step-by-step explanation:(i) 395°
Write 395° in terms of 360°.
395° = 360° + 35°
So, the coterminal angle of 395° is 35◦
(ii) 525°
Write 525° in terms of 360°.
525° = 360° + 165°
So, the coterminal angle of 525° is 165°.
(iii) 1150°
Write 1150° in terms of 360°.
1150° = 3(360°) + 70°
So, the coterminal angle of 1150° is 70°.
(iv) -270°
Write -270° in terms of 360°.
-270° = -360° + 90°
So, the coterminal angle of 270° is 90°.
(v) -450°
Write -450° in terms of 360°.
-450° = -360° - 90°
So, the coterminal angle of 450° is -90°.
Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:
x^2 + bx + (b/2)^2 = c + (b/2)^2
Now let’s solve the equation above using this method.
Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2
Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2
Step 3: x^2 - 12x + 36 = -6 + 36
Step 4: x^2 - 12x + 36 = 30
Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2
Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2
Step 6: (x - 6)^2 = 30
Step 7: x - 6 = √30
Step 8: x = 6 ±√30
Answer:
14
Step-by-step explanation:
f(x)=3x²+1
f(2) = 3 x 2² + 1 = 13
g(x) =1-x
g(2) = 1 - 2 = -1
(f-g)(2) f(2) - g(2) = 13 - (-1) = 14
