When it is 3:00 the minute hand and the hour hand would form a 90 degree angle making a right triangle. If you use the Pythagorean theorem you can find the distance between the tips of the hands.
14^2+9^2=x^2
196+81=x^2
277=x^2
X=16.64ft when rounded
Explanation:
2/3y+1=1/6y+8
Multiply both sides of the equation by 6 you get
4y+6=y+48
4y+6=y+48
Move variable to the left side and change its sign
4y-y+6=48
4y-y=48-6
Collect like terms
3y=48-6
3y=42
Divide both sides of the equation by 3 and your final answer is
y=14
You’re answer is: y=14 :)
Parallel lines have the same slope, in this case 3.
To find the y intercept we plug in the points (2,1) into y=mx+b, with 2 being x and 1 being y.
1=3(2) + b
Solve this and you get -5 as the y intercept.
The equation is y=3x-5
When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.
So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.
Answer:
y=12x+3
Step-by-step explanation:
The slope-intercept form is y=mx+b. In the equation for slope-intercept form m=slope and b=y-intercept. You have the slope and y-intercept so all you have to do is put them in the right places. Since the slope is 12 your put the 12 where the m is and get y=12x+b. Then since you know the y-intercept is (0,3)=3 then you just need to put the 3 where the b is to get y=12x+3.
Hope this helps!!!
