Answer:
From left to right,
1. impossible
2. unlikely
3. neither unlikely nor likely
4. likely
5. certain
Step-by-step explanation:
Answer:
Given the equations:
.....[1]
....[2]
Substitute the value of x in [1] we get;'

Use identity: 

Combine like terms;

Subtract 36 from both sides we get;


By zero product property, we get;
y = 0 and 
Substitute these y values in [2] to get x values;
For y = 0 we have;
x = 2(0) +6 = 0+6 = 6
For x = -4.8
x = 2(-4.8)+6 = -9.6 + 6 = -3.6
Therefore, the solution for the given equations are; (6, 0) and (-3.6, -4.8)
Answer:
Larissa takes 59.141 seconds to complete both laps.
Step-by-step explanation:
The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:
(i) <em>She completes her first lap in 31.135 seconds</em>:

(ii) <em>She completes her second lap 3.129 seconds faster than the first lap</em>:



Then, the time taken by Larissa to complete both laps is:


Larissa takes 59.141 seconds to complete both laps.
-4 is the x intercept.as in the values on the x-axis
So,
Notice that there is a triangle with two of the angles given. We know that the sum of any triangle's angles will always be 180°. Thus, we can subtract the two given angles from 180, and that will give us the measure of angle ABC.
180 - 20 - 25 = 160 - 25 = 135
The measure of angle ABC is 135°.
The correct option is D.