B. The distance across the middle of the circle
C. The Point at the center of the circle
D. The distance from the center to any point on the circle
The best definition of the radius of a circle is option D: "The distance from the center to any point on the circle."
The radius is a fundamental geometric concept that is integral to understanding and describing circles. It is a straight line segment that extends from the center of the circle to its outer edge.
This single measurement defines the size of the circle and is consistent from the center to any point on the circumference. It is crucial in various mathematical and geometric calculations, including calculating the circle's area, circumference, and relationships with other elements in geometry. Option D succinctly encapsulates the essence of the radius and its geometric significance in a clear and concise manner.
for such more question on radius
#SPJ2
D since the radius is the distance between the center and any edge of the circle
if you like my answer vote me for the brainiest.
Answer:
The number (√5 + 2)(√5 - 2) can be simplified using the difference of squares formula, which states that (a + b)(a - b) = a² - b². In this case:
(√5 + 2)(√5 - 2) = (√5)² - 2² = 5 - 4 = 1
So, the number (√5 + 2)(√5 - 2) is equal to 1, which is a rational number because it can be expressed as a ratio of two integers (1/1). Therefore, the correct answer is:
b. a rational number
The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The result is a rationalnumber, making option b. a rational number the correct answer.
The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The difference of squares formula states that a^2 - b^2 = (a + b)(a - b). In this case, a = √5 and b = 2. Plugging these values into the formula, we have (√5)^2 - 2^2 = ( √5 +2)(√5 - 2) = 5 - 4 = 1.
Since 1 is a rational number (it can be expressed as a fraction), the correct answer is b. a rational number.
#SPJ11
Answer: A= 15^2 - 12^2
Step-by-step explanation:
Answer:
yes,because it passes the vertical line test
Step-by-step explanation:
Answer:
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
Step-by-step explanation:
Given in the question two functions,
f ( x ) = 9x³ + 2x² − 5x + 4
g ( x ) = 5x³ − 7 x + 4
To find,
f ( x ) − g ( x )
Substitute each functions
= 9x³ + 2x² − 5x + 4 - ( 5x³ − 7 x + 4 )
Remove parentheses
= 9x³ + 2x² − 5x + 4 - 5x³ + 7 x - 4
Combine like terms and add them up
= 4x³ + 2x² + 2x
Factorise
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
So the final answer in factored form is 2x²( 2x+ 1) + 2x or 2x (2x² + x + 1)
This can't be further factorise because answer will be in complex numbers
B) to draw arcs of a given size
C) to draw perpendicular lines
D) to draw straight lines
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
In geometry, a compass is a tool for drawing circles and arcs.
It consists of two arms, one with a pointed end and the other with a pencil or pen.
We have,
A compass is a tool used for drawing circles and arcs.
By adjusting the distance between the two arms of the compass, it can be used to draw circles and arcs of various sizes.
While a compass can also draw congruent angles and perpendicular lines, these constructions often require additional steps beyond simply drawing an arc of a given size.
Drawing straight lines typically requires using a straightedge, which is a different tool than a compass.
Thus,
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
Learn more about compass in geometry here:
#SPJ2