Answer:
4 mph
Step-by-step explanation:
Givens
Current = c = 2 mph
Alberta = r = ?
d = 2 mph upstream
d1 = 6 mph downstream
Formula
d = r * t
The time is the same so the formula becomes d/r = t
2/(r - 2) = 6/(r + 2)
Solution
Cross Multiply
2*(r + 2) = 6*(r - 2)
2r + 4 = 6r - 12 Subtract 2r from both sides
4 = 6r - 2r - 12 Combine the right.
4 = 4r - 12 Add 12 to both sides.
4 + 12 = 4r
16 = 4r Divide by 4
16/4 = 4r/4
r = 4
Alberta's rate of travel is 4 mph
Answer:
Let A (2a, 4a)
B(2a, 6a)
C (2a + sqrt (3a), 5a)
Side AC:
Side BC:
Hence AC = BC
It is an isoceles triangle.
Side AB:
It proves that the triangle is NOT an equilateral triangle.
Answer: 11x-3y = 32
---------------------------------------------------------------
Explanation:
The given points are
A = (-4,-2)
B = (4,4)
C = (18,-8)
First we'll use points A and C to find the slope of line AC
m = (y2-y1)/(x2-x1)
m = (-8-(-2))/(18-(-4))
m = (-8+2)/(18+4)
m = -6/22
m = -3/11
The slope of AC is -3/11
Take the negative reciprocal of this slope
Flip the fraction: -3/11 -----> -11/3
Flip the sign: -11/3 ----> +11/3 = 11/3
The slope of AC is -3/11 while the slope of any line perpendicular to AC is 11/3
Let m = 11/3 and (x,y) = (4,4) which are the coordinates of point B
Plug these values into slope intercept form and then solve for b
y = mx+b
4 = (11/3)*4+b
4 = 44/3+b
4 - 44/3 = 44/3+b-44/3
b = 4 - 44/3
b = 12/3 - 44/3
b = (12 - 44)/3
b = -32/3
Since m = 11/3 and b = -32/3, we go from this
y = mx+b
to this
y = (11/3)x-32/3
Now clear out the fractions and get the x and y variables to one side
y = (11/3)x-32/3
3y = 3*[ (11/3)x-32/3 ]
3y = 11x - 32
3y-11x = 11x-32-11x
-11x+3y = -32
-1*(-11x+3y) = -1*(-32)
11x-3y = 32
The equation of the through B that is perpendicular to AC is 11x-3y = 32 (this equation is in Ax+By = C form which is called standard form)
This is better known as the altitude through B
Step-by-step explanation:
Storage Space of Shed = Volume of Shed.
Volume of Shed = Volume of Rectangular level
+ Volume of Triangular roof
Volume of Rectangular Level =
Length x Width x Height
=
Volume of Triangular Roof =
Area of Triangular side x Length
=
Volume of Shed = 576 + 144
=
Answer:
Multple included
Step-by-step explanation:
Part A. the answer would be −4 since −24 divided by 6 would equal −4 (-24/6=?)
For Part B you can write:that passed week, the change of temperature would to −4 degrees, so than after period of 6 weeks, the change of temperature should be 4∗(−6)=−24 degrees.
Im 95% sure this is correct. :)