Answer:
b = 0
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 2x + 17 is in this form with slope m = - 2
• Parallel lines have equal slopes, hence
slope of line through the 2 points is - 2
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (b, 7)
m = 
= 
, hence
= - 2 ( cross- multiply )
- 2(b - 2) = 4
- 2b + 4 = 4 ( subtract 4 from both sides )
- 2b = 0 ⇒ b = 0
9514 1404 393
Answer:
a) 540°
b) 720°
c) 900°
d) 1440°
Step-by-step explanation:
The total measure of internal angles of a convex polygon is given by the formula ...
sum of angles = 180°(n -2) . . . . for an n-sided polygon
So, you count the sides, subtract 2, and multiply that result by 180°.
__
a) 180°(5 -2) = 540°
b) 180°(6 -2) = 720°
c) 180°(7 -2) = 900°
d) 180°(10 -2) = 1440°
Answer:
B is correct
Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
Given:
The graph of an exponential function.
To find:
The exponential growth factor as x increases by 1 unit.
Solution:
From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.
The general exponential function is:
...(i)
Where, a is the initial value and b is the growth factor.
Putting 
in (i), we get
...(ii)
Putting 
in (i), we get
...(iii)
Divide (iii) by (ii).
b is the the growth factor and the value of b is 3.
Therefore, the exponential growth factor is 3 as x increases by 1 unit.
b*h/3 is the formula to find the volume (or area whichever it is) of a pyramid so it will be 16 times 30 divided by 3 which would get u to 480/3 which would then get u to 160 cm
