Answer:
- 19
Step-by-step explanation:
Step 1:
3m - 10 Equation
Step 2:
3 ( - 3 ) - 10 Substitute - 3 for m
Step 3:
- 9 - 10 Multiply
Answer:
- 19 Subtract
Hope This Helps :)
Answer:
x = 1.8
Step-by-step explanation:
10.4 - 5 = 5.4 (subtract 5 from each side)
to isolate the variable, x, divide each side by 3
5.4/3 = 1.8
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
The correct option is;
The graph will have a height of 6 feet at 16 seconds
Step-by-step explanation:
The given parameters are;
The start time for throwing the rock = 0 s
The height from which the rock is thrown = 6 ft
The vertex of the parabola = 8 seconds
Given that the vertex is the axis of symmetry, then the time it takes the rock to reach the vertex (8 seconds) from the point (0, 6) will be the same time it takes the rock to reach the point on the other side of the parabola at the same 6 feet which will then have coordinates (8 + 8, 6) or (16, 6) which will be 6 feet in 16 seconds.
