Answer: (x,y)=(14/4,0)
Step-by-step explanation:
y=-2(x-3)(2)+2
Clear the brackets
y=-2(2x-6)+2
y=-4x+12+2
y=-4x+14
To get the x-intercept y=0
0=-4x+14
4x=14
x=14/4
(x,y)=(14/4,0)
Calculate and multiply to get
-4/(-6)+7 - 2x(-2)/-1x3+7
Next remove parentheses and calculate,
You'll get -4/-6+7 - 2x(-2)/4
Then calculate and reduce,
-4/1 - -2/2
Reduce and divide to get -4-(-1)
Remove parentheses, -4+1
And calculate to get your final answer
= -3
Answer:
The equation of required line is: 
Step-by-step explanation:
We need to write equation in the form Ax+By+C=0 of the line parallel to 
and through the point (-2,3)
First we need to find slope and y-intercept of the required line.
Using equation of line to find slope.
Since the given line and required lines are parallel there slope is same.
Writing equation in slope intercept form: 
where m is slope.
So, the slope m = 5/8
The slope of required line is 
Now finding y-intercept using slope and point(-2,3)
So, the equation of required line having slope and y-intercept 
So, The equation of required line is:
Answer:
Inequality to represent given data is y ≥ 5.
No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.
Step-by-step explanation:
Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solution.
i) therefore y + 1 ≥ 6
ii) therefore y ≥ 5
iii) No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.
The correct value of the angle of rotation is 3π/5
Answer:
Distance travelled ≈ 22.6 ft
Step-by-step explanation:
We are given;
Radius;r = 12 ft
Angle of rotation; θ = 3π/5
The formula for calculating distance travelled is;
Distance travelled = rθ
So, plugging in the relevant values;
Distance travelled = 12 x 3π/5
Distance travelled ≈ 22.6 ft
