Answer:
Both are irrational
Step-by-step explanation:
is a trick as it does simplify to
, but that is irrational
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.
Answer:
500 ml
Step-by-step explanation:
1 liter = 1 000 ml
1 / 2 liters = 1000 ml /2 = 500 ml
1000ml - 500 ml = <u>500 ml</u>
so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.
we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.

Answer:
m=10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(2m−6)+21=−77
(−7)(2m)+(−7)(−6)+21=−77(Distribute)
−14m+42+21=−77
(−14m)+(42+21)=−77(Combine Like Terms)
−14m+63=−77
−14m+63=−77
Step 2: Subtract 63 from both sides.
−14m+63−63=−77−63
−14m=−140
Step 3: Divide both sides by -14.
-14m/-14=-140/-14
m=10