68-61 =7
but 7-6 =1
Step-by-step explanation:
Answer:
we know the plane line has 180°
so here it's 111°-180° = 69°
so co- interior angles are equal so 111°=the olace of 13x-6
As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.
Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).
Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:
6 = (-1/3)(-6) + b, or
6 = 2 + b. Then b = 4, and the equation in slope-intercept form is
y = (-1/3)x + 4.
Answer:
Step-by-step explanation:
if it is linear then it will be a straight line(gradient is the same)
if quadratic then curve(gradeint isnt the same)
y=mx+c
m=[y(2)-y(1)]/[x(2)-x(1)]
you can choose any 2 points from the table
m=2-0.4/0-1
m=-1.6
repeat but 2 different coordinates
m=0.4-0.08/-1--2==>-2.24
m=-2.24
different coordinate therefore quadratic
cant be exponential, because nothing is being raised to some power
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
