You wanna
divide 85 and 52
because he can run 20 KM in 85 min
and he wants to see how long it takes him to run 52 KM
So the first one is correct
Answer:
- m = 4/3; b = -4
- m = 3; b = -6
Step-by-step explanation:
In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.
<h3>1.</h3>
-3y = -4x +12 . . . . . subtract 4x
y = 4/3x -4 . . . . . . . divide by -3
The slope is 4/3; the y-intercept is -4.
__
<h3>2.</h3>
y = 3x -6 . . . . . . divide by 2
The slope is 3; the y-intercept is -6.
_____
<em>Additional comment</em>
Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.
(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)
Answer:
Length = 10 inches
Width = 10 inches
Step-by-step explanation:
The perimeter of the base is 40 inches, so we can write the following equation:
2*Length + 2*Width = 40
Length + Width = 20 (eq1)
The volume of the box is 800 in3, so we have:
800 = Length*Width*8
Length*Width = 100 (eq2)
From the (eq1), we have:
Length = 20 - Width
Using this value of Length in (eq2), we have:
(20 - Width)*Width = 100
20*Width - Width^2 - 100 = 0
Using Bhaskara's formula, we have:
Delta = b^2 - 4ac = 400 - 400 = 0
Width = -b/2a = -20/(-2) = 10 inches
Length = 20 - Width = 20 - 10 = 10 inches
So the length is 10 inches and the width is 10 inches
As here we are given with an equilateral triangle, whose side is 3 cm, and we need to find the height and area of the equilateral triangle. So, for this let's recall that, the area of any equilateral triangle with side a is given by ;
So, if we substitute a = 3, in our Formula, it will yield to



Now, as we know that, for any triangle we also have a formula that is ;
Now, Here as the triangle is equilateral, so it's base will just be same 3, and if we let height be H, so we will be having



The answer for this is 5y+5 :)