8.24621 is the distance between the points
We know that the perimeter of a rectangle is 2(width)+2(length). We can multiply the length by 2 to find out how much remaining fencing we have, then divide that number by 2 to find the width.
15.5*2=31
170.5-31=139.5
139.5/2=69.75
A possible width is 69.75 feet.
Answer:
Discriminant: -4
No real solutions
Step-by-step explanation:
You might remember this long, seemingly very hairy thing called the <em>quadratic formula</em> from earlier in algebra:
The <em>discriminant</em> of a quadratic equation of the form is that bit under the square root: . What does the discriminant tell us? Since we're taking its square root, we know that is only real for non-negative values of . If , we have two real roots, one for and one for . If , the function has a rational root, since the formula becomes
In your case, we have the equation ; here, , , and , so our discriminant is . Since we'd have a negative under our square root in the quadratic formula, we have <em>no real solutions</em>.
Answer:
He can go 10.78 miles
Step-by-step explanation:
This problem can be solve by creating a proportion, knowing that 15.4 miles is to one gallon the same as "x" miles (our unknown) is to 0.7 gallons. This can be set in math terms as the equation that relates these two ratios of miles per gallon:
and to solve for the unknown number of mile, we multiply both sides of the equation by "0.7 gallon" in order to isolate our unknown:
Since I'm kind of confused about the question, this may not be right. However, the answer I got from the info in the question is 19/60. I'm sorry if it's wrong.