What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, com
tester [92]
Answer: square root of 29
Step-by-step explanation:
Given the question :
Distance between (4, 7) and (2, 2)
Distance between two points is given by:
Distance = sqrt[(X2 - X1)² + (Y2 - Y1)²]
X1 = 4 ; Y1 = 7 ; X2 = 2 ; Y2 = 2
Distance = sqrt[(2 - 4)² + (2 - 7)²]
Distance = sqrt[(-2² + - 5²)]
= sqrt(4 + 25)
= sqrt(29)
Answer:slope =7/10
Step-by-step explanation:
slope=(y-y0) ➗ (x-x0)
Slope=(8-1) ➗ (4-(-6))
Slope=7 ➗ (4+6)
Slope=7 ➗ 10
Slope=7/10
Answer: 
Step-by-step explanation:
The slope can be calculated with this formula:

Notice that the formula shows the change in "y" for a unit change in "x" on the line.
In order to solve this exercise, it is important to remember that:
1. If a line is increasing, then its slope is positive.
2. If a line is decreasing, then its slope is negative.
3. If the line is horizontal, its slope is zero.
4. If the line is vertical, it has no slope.
Therefore, since the given line that passes through the point
, is horizontal, its slope is:

Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
Answer:
m∠ABC = 90°
Step-by-step explanation:
Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.
We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...
m∠ABC = m∠ADC = 90°