Answer:
The distance between (-3, 2) and (0,3) is √10.
Step-by-step explanation:
As we go from (-3,2) to (0,3), x increases by 3 and y increases by 1.
Think of a triangle with base 3 and height 1. Use the Pythagorean Theorem to find the length of the hypotenuse, which represents the distance between the points (-3, 2) and (0, 3):
distance = √(3² + 1²) = √10
The distance between (-3, 2) and (0,3) is √10.
The equation looks like this:
26=x*3.5+8.50
where x is the number of pen you bought.
We solve it like this:
first, we subtract 8.50 from both sides:
17.50 =3.5*x
now we divide both sides by 3.5:
5=x
so you purchased 5 pens.
Answer:
Option D. 5
Step-by-step explanation:
we know that
The initial value of the function is the y-intercept, so is the value of the function when the value of x is equal to zero
In this problem observing the table
For x=0
The value of y is equal to y=5
therefore
The initial value is 5
Answer:
24
Step-by-step explanation:
This a special right triangle with angle measures of 30° 60° 90°
The side length that sees angle measure 30° is represented with a, the one that sees 90° is represented by 2a and the one that sees 60° is represented by a√2
AC sees angle B which has an angle measure of 60
(6√2)×(√2) = 24
