Answer:
The hypotenuse is 5
Step-by-step explanation:
We can use the Pythagorean theorem to find the hypotenuse of a right triangle
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
3^2 +4^2 =c^2
9+16=c^2
25=c^2
Take the square root of each side
sqrt(25) =sqrt(c^2)
5 = c
Answer:
y = -2x - 5
Step-by-step explanation:
<u>1) Find the slope of the line.</u>
The slope of the original line is the same as the slope of the parallel line.
Slope formula:
In this case you can choose any 2 set of points on the table.
= 
= 
= -2
So the slope of the line is -2
<u>2) Use the point-slope formula to find the equation of the line.</u>
Point-slope formula:
Now plug in the point (0, -5) and the slope -2 into the equation.
y - (-5) = -2(x - 0)
y + 5 = -2(x - 0)
To solve the equation first apply the distributive property.
y + 5 = -2x + 0
y + 5 = -2x
Next, subtract 5 from sides.
y = -2x - 5
You know have your equation in point-slope form!
Answer:
The number of months after which amount paid to two fitness clubs be the same is 10
Step-by-step explanation:
Given as :
The charge of Mikes fitness center = $30 per month fro membership
The charge of All-Day fitness center= $22 per month fro membership + $80
initiation charge
Let The number of months after which amount paid to each club be same = x
So, According to question :
30 x = 22 x + 80
Or, 30 x - 22 x = 80
Or, 8 x = 80
So x =
∴ x = 10
Hence The number of months after which amount paid to two fitness clubs be the same is 10 Answer
9514 1404 393
Answer:
(2/3)(e^t +1)^(3/2)
Step-by-step explanation:
Use the substitution ...
u = e^t +1
Then du = e^t and you are finding the integral of ...
∫u^(1/2)·du
which you know by the power rule is ...
(2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)
