Answer:
<h3><u>Part (a)</u></h3>
<u />
<u>Equation of a circle</u>
where:
- (a, b) is the center
- r is the radius
Given equation:
Comparing the given equation with the general equation of a circle, the given equation is a <u>circle</u> with:
- center = (0, 0)
- radius =
To draw the circle, place the point of a compass on the origin. Make the width of the compass 2.5 units, then draw a circle about the origin.
<h3><u>Part (b)</u></h3>
Given equation:
Rearrange the given equation to make y the subject:
Find two points on the line:
Plot the found points and draw a straight line through them.
The <u>points of intersection</u> of the circle and the straight line are the solutions to the equation.
To solve this algebraically, substitute into the equation of the circle to create a quadratic:
Now use the quadratic formula to solve for x:
To find the coordinates of the points of intersection, substitute the found values of x into
Therefore, the two points of intersection are:
Or as decimals to 2 d.p.:
(2.35, -0.85) and (-0.85, 2.35)
Answer:
the answer
the ratio x:y is 25:18
Step-by-step explanation:
we know that
the length of Q is 25% more than the length of p
so
length Q=1.25*40--------> 50 cm
the area of Q is 10% less than the area of p
Area Q=50*y
Area P=40*x
so
50*y=0.90*[40*x]---------> 50*y=36*x-------> x/y=50/36---> 25/18
Composite numbers are numbers that aren't prime. Prime numbers are numbers that have only 2 factors; 1 and itself. Composite numbers have more than 2 factors (2+ pairs).
13 = 1 • 13. 13 is prime, not composite.
39 = 1 • 39, 3 • 13. 39 is composite.
Although we've found our composite number, let's keep searching (just in case).
PENDING NUMBERS: 39.
91 = 1 • 91, 7 • 13. 91 is a composite number.
139 = 1 • 139. 139 is prime.
Your two composite numbers are 39 & 91.
I hope this helps!
The triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.
<h3>What is a regular polygon?</h3>
A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
As we know,
The act of using mathematics to address issues in the actual world is known as mathematical thinking.
As the pentagon has 5 sides and 5 lines of symmetry.
The pentagon's lines of symmetry are apart 72(360/5) degrees apart.
Similarly in the triangle, the sum of the interior angle is 180 degrees
The triangle lines of symmetry are 60(180/3) degrees apart.
Thus, the triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.
Learn more about the regular polygon here:
brainly.com/question/11810316
#SPJ1
Answer:
7+x
Step-by-step explanation:
the prefix bi means two there for two variables just like in the word bicycle which means two wheels