Solve the equation for m. ms+mv = t
1 answer:
The goal is to get m alone on one side of the equals and to get things not m on the other. With two m terms on the left it looks fine, but subtracting one sends it to the other side. Adding it back takes us back to the start.
That's not the way to start. Instead, m and s are put together with multiplying. So are m and t. Let's try instead to get m away from the other variables.
ms + mv = t
m (s + v) = t <--- factor m out as a common factor
m = t / (s + v) < ---- divide both sides by s + v
Thus,
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Answer:
The formula for the area of the triangle is:
When <em>x</em> = 3, the area is 216 square centimeters.
When <em>x </em>= 2.4, the area is 138.24 square centimeters.
And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.
Step-by-step explanation:
We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.
The area of a triangle is given by the formula:
So, by substitution:
When <em>x </em>= 3, the area will be:
And when <em>x</em> = 2.4, the area will be:
When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.
By the Pythagorean Theorem:
So:
The hypotenuse will be: