Answer: 5 games
Step-by-step explanation: They need to win half their games for a .500 record and half or 30 is 15. They already won 10 so they need to win 15- 10 = 5 more games to have a .500 record.
Answer:
Height = 3.5cm.
Step-by-step explanation:
Area of a trapezium:
a+b/2 × h
Area = 14.7cm²
Parallel sides (a and b) = 5.3cm, 3.1cm
14.7cm² = 5.3 + 3.1/2 × h
h = 14.7 ÷ 4.2
h = 3.5cm
The height is 3.5cm.
The simplification of rational expressions is explained
<u>Solution:</u>
Rational expressions are fractions that have a polynomial in the numerator, denominator, or both.
Rational expressions contain variables, they can be simplified in the same way that numerical fractions are simplified.
<em><u>Steps to simplify rational expressions:</u></em>
Let us see it with an example:
1) Look for factors that are common to the numerator & denominator
2) 3x is a common factor to the numerator & denominator. Note that it is clear that x ≠0
3) Cancel the common factor
4) If possible, look for other factors that are common to the numerator and denominator
5) After cancelling, you are left with
6) The final simplified rational expression is valid for all values of "x" except 0 and 1
We have to follow the same procedure for any rational expression.
9) Intersection point (-1, 3)
10) Intersection point (4, 1)
Hope I helped and have a great day M'lady ^-^
The radius of the given circle is 5 units with the equation x²+y²+8x-6y+21=0.
<h3>
What are circles?</h3>
All points in a plane that are at a certain distance from the center combine to form a circle.
It is the curve that a moving point in a plane draws to keep its distance from another point constant, to put it another way.
In the center of a circle, equal chords subtend equal angles.
So, the radius of the circle with equation x² + y² + 8x – 6y + 21 = 0:
General form:
(x – a)² + (y-b) = r²
x² + y² – 2ax – 2by + (a² + b² – r²) = 0
We know that: r = √(a² +b²)
Compare the following equation to the equation's general form.
We obtain:
-2ax = 8x ⇒ a = – 4
-2by = -6y ⇒ b = 3
r = √((-4)2 +32 ) = √16 + 9 = √25 = 5
Therefore, the radius of the given circle is 5 units with the equation x²+y²+8x–6y+21=0.
Know more about circles here:
brainly.com/question/24375372
#SPJ4
Correct question:
What is the radius of a circle whose equation is x² + y² + 8x – 6y + 21 = 0?