The endpoints of ab are a(1,4) and b(6,-1). if point c divides ab in the ratio 2: 3, the coordinates of c are ? . if point d divides ac in the ratio 3: 2, the coordinates of d are ? .

The coordinate C:(3,2) and coordinate

Step-by-step explanation:

1. The endpoints of AB are A(1,4) and B(6,-1)

If point C divide AB in the ratio 2:3

Formula:

Where,

2. The endpoints of AC are A(1,4) and B(3,2)

If point D divide AC in the ratio 3:2

Hence, The coordinate C:(3,2) and coordinate D:

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15