Answer:
m= 0.3
Step-by-step explanation:
10.1 = 8 + 7m
-8 -8
2.1 = 7m
2.1/7 = 0.3
Answer:
4(2x+1)(x−1)
Step-by-step explanation:
8x2−4x−4
8x2−4x−4
=4(2x+1)(x−1)
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:
The numbers are 50 & -72.
Step-by-step explanation:
Let the first number is x and the second number is y.
According to the question:-
x + y = -22 ........(1)
x - y = 122 ........(2)
By adding equation 1 & 2-
2 x = 100
x = 50
Put X =50 in equation (1)-
y = -22 -50
y = -72
Hence the numbers are (50, -72).