Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Soo. If there are 12 gift baskets and 15 small boxes of chocolate in each box,
15*12 = 180 boxes of chocolate in total.
Since each box has 17 pieces of chocolate, there are 180 * 17 =3060 pieces of chocolate.
Answer:
x=3y
Step-by-step explanation:
ATQ
(x+y):(x-y)=2
or, x+y=2x-2y (crossmultiply)
or, 0= 2x-x-2y-y
or, x- 3y=0
or, x=3y is required equation
Answer:
the measure of arc HG is 136
