Answer:
2√3
Step-by-step explanation:
5y2+20=80
Step 1: Subtract 20 from both sides.
5y^2+20−20=80−20
5y^2=60
Step 2: Divide both sides by 5.
5y^2
/5 =
60/5
y2=12
Step 3: Take square root.
y=√12
y=2√3
Answer:
d(1) = -3 and d(2)= -28
Step-by-step explanation:
Given that the distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point
For finding out the distances for x=1 and x=2
let us substitute 1 and 2 for x
d(1) = -3 and d(2)= -28
I would be glad to help you! I will solve through 3 to get you started.
This is a very important concept, so it would be helpful if you learn it on your own.
C= 2* pi* r
1. The radius is 5 cm. 5 cm represents r in the equation.
C= 2* 3.14 (or pi)* 5
Multiply it by using a calculator.
My answer was 31.4.
Let's try the second one.
2. The diameter is 9. Have of the diameter is the radius.
9/2= 4.5
Plug it into the equation.
C= 2*3.14*4.5
I got 28.26
One more.
Plug it into the equation.
C= 2*3.14*5.6
35.17 was my answer.
Make sure to add the end signs to you answer, ft, cm, meter, etc.
Let me know if you need more help.
Brainliest answer is always appreciated.
Answer:
x = -5, and y = -6
Step-by-step explanation:
Suppose that we have two equations:
A = B
and
C = D
combining the equations means that we will do:
First we multiply both whole equations by constants:
k*(A = B) ---> k*A = k*B
j*(C = D) ----> j*C = j*D
And then we "add" them:
k*A + j*C = k*B + j*D
Now we have the equations:
-x - y = 11
4*x - 5*y = 10
We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.
Then we can take the first equation:
-x - y = 11
and multiply both sides by 4.
4*(-x - y = 11)
Then we get:
4*(-x - y) = 4*11
-4*x - 4*y = 44
Now we have the two equations:
-4*x - 4*y = 44
4*x - 5*y = 10
(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)
If we add them, we get:
(-4*x - 4*y) + (4*x - 5*y) = 10 + 44
-4*x - 4*y + 4*x - 5*y = 54
-9*y = 54
So we combined the equations and now ended with an equation that is really easy to solve for y.
y = 54/-9 = -6
Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.
-x - y = 11
-x - (-6) = 11
-x + 6 = 11
-x = 11 -6 = 5
-x = 5
x = -5
Then:
x = -5, and y = -6
Zero slope line coinciding with x axis and undefined slope line coinciding with y axis
