Answer:
a)x=5; b)x=4
Step-by-step explanation:
a) 4x-3=2x+7
=>4x-2x=7+3
=>2x=10
=>x=5 [divide both by 2]
b)2x+6=7x-14
=>7x-2x=6+14
=>5x=20
=>x=4 [divide both by5]
Answer:
Step-by-step explanation:
I have taken Biology
6 semicircles = 3 circles
The formula of the area of a equilateral triangle:
We have a = |AE| = 3cm. Substitute:
The formula of the area of a circle:
We have 2r = |AE| =3cm → r = 1.5cm. Substitute:
The area of the figure:
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
