Answer:
6
Step-by-step explanation:
Slope intercept form is y=mx+b, with m being the slope and be being the y intercept, so when you look for what b is in the equation for y=-3x+6 then 6 is b.
Answer:
18 square units
Step-by-step explanation:
The given rectangle has an x-dimension of 3-1 = 2, and a y-dimension of 5-2 = 3. Stretching the x-dimension by a factor of 3 will multiply it to ...
2×3 = 6
and give you a rectangle 6 units wide by 3 units high. Its area will be ...
(6 units)(3 units) = 18 units²
Answer:
, the third one
Step-by-step explanation:
Explaining the sine function:
The sine function is defined by:
In which A is the amplitude, 
is the period, 
is the horizontal shift and V is the vertical shift.
So, in your problem:
The amplitude is 4, so A = 4.
The period is 
, so 
.
There is no horizontal shift, so 
.
The vertical shift is −3, so V = -3.
The sine function that represents these following conditions is
, the third one
Answer:
4:9 or 4/9
Step-by-step explanation:
4/9 is the simplified version of 24/54.
You need to make a draw of the problem to understand what to do.
The height of the pyramid, and half the original base side length make a rectangle triangle, whose hypothenuse is the height of the lateral area of one of the pyramids faces, so we have. So we use Pythagoras:
hyp^2 = 11^2 + 14^2 = 317
hyp = 17.8 m
that is the height of the lateral area triangle
Now to find the area of the lateral area triangle, we have:
a = base*height/2 = 22*17.8/2
a = 195.8 m^2
that is the lateral area of the pyramid, 196 m^2
