Step-by-step explanation:
1. A = lw
- l = A/w
- l = (x²+7x +12) / (x + 3) =
- (x + 4)(x + 3)/(x + 3) =
- x + 4 m
2. V = lwh
- lw = V/h
- lw = (x³ + 12x²+ 47x + 60) / (x + 3) =
- (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) =
- (x + 3)(x² + 9x + 20) / (x + 3) =
- x² + 9x + 20 cm²
3. A = bh
- h = A/b
- h = (f³-8) / (f-2) =
- (f - 2)(f² + 2f + 4)/(f-2) =
- f² + 2f + 4 cm
4. A = p*c
- c = A/p
- c = (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =
- (3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =
- (x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =
- 3x + 2 cans
5. A = lw
- l = A/w
- l = (x² + 5x - 6)/(x + 2) =
- (x - 1)(x + 6)/(x + 2) m
Answer:
Step-by-step explanation:
Let +s+ = the speed of the passenger train
+s+-+20%5D+ = the speed of the freight train
Let +t+ = time in hours for both trains
-------------------------------------
Equation forpassenger train:
(1) +280+=+s%2At+
Equation for freight train:
(2) +180+=+%28+s-20+%29%2At+
------------------------
(1) +t+=+280%2Fs+
Substitute (1) into (2)
(2) +180+=+%28+s-20+%29%2A%28+280%2Fs+%29+
(2) +180s+=+280s+-+5600+
(2) +100s+=+5600+
(2) +s+=+56+
and
+s+-+20+=+36+
The speed of the passenger train is 56 mi/hr
The speed of the freight train is 36 mi/hr
-------------------------------------
check:
(1) +280+=+56%2At+
(1) +t+=+5+
and
(2) +180+=+%28+56-20+%29%2At+
(2) +180+=+36t+
(2) +t+=+5+
OK
Hello!
To find the surface area of a rectangular prism you use the equation
SA = 2(wl + wh + lh)
SA is surface area
w is width
l is length
h is height
Put in the values you know
SA = 2(4.5 * 16 + 4.5 * 29 + 16 * 29)
Multiply
SA = 2(72 + 130.5 + 464)
Add
SA = 2(666.5)
Multiply
SA = 1333
The answer is 1333 cm squared
Hope this helps!
It is c I did the test/quiz
Answer: the slope would be -4/3 and the y intercept is 2
Step-by-step explanation: you would have to divide both sides by 3 to get y by itself. that leaves you with -4/3x + 2
