If a = and b = -1 what is the value of ab -b^2
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As long as Loren drove, the law of motion was
As long as Loid drove, the law of motion was
So, the total time they took is
Had Loren driven the whole time, the law of motion would have been
And we know that this time would have been 30 minutes (i.e. 0.5 hours) faster. So, we have
This translates into
If we subtract 200/s from both sides, we have
We can simplify the right hand side by summing the two fractions:
So, we have to solve
If we cross multiply the denominators, we have
Which yields the solutions
We accept the positive solution, because the negative would mean to travel backwards, so Loren's rate was 50mph
Given:
The piecewise rectangular figure.
To find:
The area of the piecewise rectangular figure.
Solution:
Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.
Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:
Figure (b) is a square of edge 2 yd. So, the area of the square is:
The area of the given figure is:
Therefore, the area of the given figure is 19 square yd.
An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.
Let the value of x be 5.
3x-8y=54
3(5)-8y =54
15-8y = 54
-8y = 54 - 15
-8y = 39
y = -4.875
Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).
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