Answer:
Median
Explanation:
The median is the middle number. This answer fits best with the question asked.
The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.
The range is just how many numbers the data spans across. It has no relation to the middle of the data.
Answer: 10
Step-by-step explanation:
By definition, the point at which a median intersects the side of the triangle opposite from the vertex from which it is drawn is the midpoint of that side.
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Answer:
y = -5x/4 + 0
Step-by-step explanation:
Find the slope
y = -5/4x - 4
Slope is the coefficient of x
Slope m = -5/4
Substitute m into point slope form equation
y - y1 = m(x - x1)
y - y1 = -5/4( x - x1)
Substitute the point into the equation
( 4 , -5)
x1 = 4
y1 = -5
y - y1 = -5/4( x - x1)
y - (-5) = -5/4( x - 4)
y + 5 = -5/4(x - 4)
Using a slope intercept form equation
y = mx + c
y - intercept point y
m - slope
x - intercept point x
c - intercept
open the bracket with -5/4
y + 5 = -5(x - 4)/4
y + 5 = (-5x + 20)/4
y = (-5x + 20)/4 - 5
LCM = 4
y =( -5x + 20 - 20)/4
y = ( -5x + 0)/4
Rearrange in
y = mx + c
y = -5x/ 4 + 0/4
y = -5x/4 + 0
The equation of the line is
y = -5x/4 + 0
Answer:
cscθ = 
Step-by-step explanation:
cscθ = 
For a unit circle, radius = 1
hence, hypotenuse = 1
opposite = y
cscθ =
