Which of the following points lies on the graph of y =
x+1+2 in the xy-plane ?
(-1,0)
(1,4)
(8, 11)
(15,6)

The point (1,4) and (8,11) lie on the graph of y = x + 1 + 2

Step-by-step explanation:

(-1,0) ⇒ y = -1 + 1 + 2 = 2 ≠ 0

(1,4) ⇒ y = 1 + 1 + 2 = 4 satisfies the equation

(8,11) ⇒ y = 8 + 1 + 2 = 11 satisfies the equation

(15,6) ⇒ y = 15 + 1 + 2 ≠ 6

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.