Step-by-step explanation:
we know,
distance = √(x_2 - x_1)² + (y_2 - y_1)²
given points
(6,4) and (0,-5)
according to formula
→ d = √(0 - 6)² + (-5 - 4)²
→ √(-6)² + (-9)²
→ √36 + 81
→ √117 = 10.81 (approx.)
therefore, distance between both the points are 10.81 (approx.).
Hope this helps you !
Answer:
(x+y)²
Step-by-step explanation:
Given the expressions (x + y) and (x + y)².
We are to find the LCM of (x + y) and (x + y)²
Taking the factors as shown
(x+y ) || (x + y) (x + y)²
(x+y ) || 1 (x+y)
|| 1 1
Multiplying both factors to get the LCM
= (x+y)(x+y)
= (x+y)²
<em>Hence the LCM of (x + y) and (x + y)² is (x+y)²</em>
Answer:
Slope is 1/4 (0.25) while y-intercept is 5
Step-by-step explanation:
Here, we are interested in getting the y intercept and slope of the line joining the given points.
We can get the slope by using any two points
Let’s say (4,6) and (12,8)
Mathematically; slope
= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25
To get the y-intercept, we proceed
kindly recall that the equation of a straight line is;
y = mx + c
where m is the slope and c is the y-intercept
Let’s take any of the points (28,12)
Thus:
12 = 0.25(28) + c
12 = 7 + c
c = 12-7
c = 5