9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
__
This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
Answer:
17 x^2
Step-by-step explanation:
(8x^2 + 8x) – (-9x^2 + 8x)
Distribute the minus sign
8x^2 + 8x + 9x^2 - 8x
Combine like terms
17 x^2 +0x
17x^2
Y = x² + 4x + 4.. Since the coefficient of x² =1, is positive, then this parabola opens upward & has a minimum.
Its axis of symmetry is = -b/a = -4/1 = 4 (so x=4)
1) When x=4, y= 4²+4(4)+4 => y=36 so the VERTEX has a minimum is at (4,36)
2)FOCUS.: To be able to calculate the focus, rewrite the equation in a standard form: y-k =a(x-h)² & y = x² + 4x + 4 could be written y=(x+2)², this means that k=0 & h=-2.
Now p being the distance between the VERTEX & the FOCUS, we apply the formula (x-2)² = 4P (y-k) , but k=0 & h=2 then (x-2)² = 4P(y-0) then P =1/4
3) DRECTRICE : y=k-P = 0-1/4 ==> y=-1/4 is the directrix
Answer:
300
Step-by-step explanation:
6 x 5= 30, so just add one zero to 6 and add a zero to 30
Answer:
In Weston 1,296 males are married
Step-by-step explanation:
step 1
Find out the number of males
Multiply the total population by 45%
step 2
Find out the number of males that are married
Multiply the number of males by 2/3
therefore
In Weston 1,296 males are married
