Answer:
(6,-4)
Step-by-step explanation:
-3x-9y = 18 (equation 1)
4x+3y = 12 (equation 2)
multiply equation 2 by 3, and add it to equation 2
-3x-9y = 18
12x+9y = 36
-----------------
X's cancel out
9x = 54
Divide both sides by 9
x = 6
Plug in 6 for x in any of the original equations
(Plugging into Equation 2)
4(6)+3y = 12 Multiply 4(6)
24+3y = 12 Subtract 24 from both sides
3y = -12 Divide 3 on both sides
y = -4
Therefore the solution is (6,-4).
Answer:
h = 6
Step-by-step explanation:
Given he area of the banner expressed as;
A = ℎ(2ℎ−2)
h is the height of the banner
A is the area = 60
Substitute
60 = ℎ(2ℎ−2)
60 = 2h² - 2h
30 = h² - h
h²-h-30 = 0
Factorize;
h²-6h+5h-30 = 0
h(h-6)+5(h-6) = 0
(h-6)(h+5) = 0
h - 6 = 0 and h+5 = 0
h = 6 and -5
Since the height cannot be negative;
h = 6
Hence he height of the banner is 6
Answer:
50 units
Step-by-step explanation:
you use Pythagorean-theorem which means A^2+B^2 =C^2
It does not matter the order of A and B because it is adding. But C is the hypotenuse.
If we plug in the # this is what it looks like...
14^2 +48^2=C^2
or
48^2+14^2=C^2
14*14= 196
48*48=2,304
then you add
196+2,304=C^2
2,500= C^2
and you can use a calculator for this part you do 2,500
with the 2,500 you use the sign as in the picture and it gives you...
50
which means 50*50 = 2,500
Answer:
3675
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of 
where t is expressed in seconds
The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity
Velocity at time t = s'(t) = 
This becomes 0 when t =15 seconds
Hence at 15th second the rock starts falling and upto
s(15) =
metres high it goes
The time taken to reach highest point is = 15 seconds.