Answer:
Paul might have written the expression .
Step-by-step explanation:
Given:
Length of the leg 1 = a
Length of the leg 2 = b
Hypotenuse = h
We need the expression Paul has written:
Solution:
Now we know that;
The figure sketched by Paul is a right angle triangle.
Now by Pythagoras Theorem which states that;
"The square of the length of the hypotenuse is equal to sum of the square of the length of the legs."
equation can be framed as;
Hence Paul might have written the expression .
Answer:
Ten and a Half milkshakes can be prepared from the available amount of ice cream.
Step-by-step explanation:
The total vanilla ice cream = 7/8 gallons
Ice cream used for 1 milkshake = 1/12 gallon
Now, total number of milkshakes possible =
=
Hence ten and a half milkshakes can be prepared from the available amount of ice cream.
Answer:
2 real solutions
Step-by-step explanation:
Remember this messy thing?
The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.
For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.