Answer:
5 meters
Step-by-step explanation:
Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.
c = √( a² + b² )
c² = a² + b²
b² = c² - a²
b = √ ( c² - a² )
b = √ ( 13² - 12² )
b = 5 meters
Correct me if I'm wrong. I hope it helps.
Hi there!
In order to use the elimination method, you have to create one variable that has the same coefficient. This is to be able to eliminate one variable and have a one variable equation (which you can then solve).
In your case, we'll have the "x" have the same coefficient by multiplying the top equation by 4 and the bottom equation by 2 :
4( -2x + 3y = -4) → -8x + 12y = -16
2( 4x - 2y = 16) → 8x - 4y = 32
Now that both of your equation have a variable with the same coefficient, you need to choose rather you need to add or subtract the equations in order to get rid of the variable (in this case we want to get rid of the "x").
In your case, you want to add both equation together which will give you :
8y = 16
Now that you only have one variable, all you need to do now is solve the equation for "y" :
8y = 16
Divide each side of the equation by 8
y = 2 → Your answer
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
<h2>60 days</h2>
Step-by-step explanation:
<h3>Step 1: First, since it is 1/6 pound twice a day, multiply by 2</h3>
1/6 x 2 = 1/3
<h3>Step 2: Divide 20 by 3 to get days that bag will feed the dog</h3>
20 ÷ 1/3 = 60
The bag will feed Nina's dog for 60 days.
I'm always happy to help :)
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
y is the value of the home
x is the number of years
a is the initial value
r is the rate of change
we have
substitute
