Answer:
The equation of the line is
Step-by-step explanation:
Looks like you've already found the y-intercept and slope of this graph. Great! That's all the info we need to create an equation.
The equation of a line is always in form, where k is the constant of proportionality (aka the slope) and b is the constant added (aka the y-intercept).
We know the slope is 3 and the y-intercept is 3, so we can put these values into the equation.
Hope this helped!
Answer:
The rectangle is 3.2 cm by 12.6 cm
Step-by-step explanation:
See attached image for a diagram.
Choose <em>w</em> to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.
Length = 3w + 3
The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse = 13.
The Pythagorean Theorem says so
Now solve using the Quadratic Formula with .
The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.
