Answer:
9.5
Step-by-step explanation:
square root 90 and you get 3 square root of 10 which is around 9.486
X² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60
x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45
<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)
<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900
<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900
<u>12(x^4 - 3x³ - 21x² + 43x + 60) </u>
3(x^4 - 9x³ + 3x² + 145x + 300)
<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60) </u>
</span><span> (x^4 - 9x³ + 3x² + 145x + 300)</span>
5+2=7, so the first blank is 2.
For the second blank, you just need two numbers in the box that when added, equals 7. (So 1,6 or 3,4)
Answer:
The equation for the axis of symmetry is x=1.5.
Step-by-step explanation:
It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .
In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.
If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is

According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.



Therefore the equation for the axis of symmetry is x=1.5.
Answer:
answer A : (2 -5)
Step-by-step explanation:
the midipoint P,Q is the center A of this circle (because PQ is a diameter)
use : (x-6)²+(x+5)² = 16 you have : A(6 , -5) now let Q(x,y) :
(x+10)/2 = 6
(y-5)/2 = - 5
x+10 = 12
y-5 = -10
so : x = 2 and y = - 5....answer A : (2 -5)