MATHEMATICS HIGH SCHOOL

Consider the type of equations 5x+y=31
-3x+4y=37
solve the first equation as y in terms of x
like y=.....

Answers

Answer 1
Answer:

You just have to isolate the y term for both equations so the first one would be y=31-5x because you have to subtract x from both sides.

The second one would be y=3+3x and all of that over 4 because to get the y isolated, you have to add 3x to both sides and then divide by 4 to get 4 y to just be y.

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What is the contrapositive of the statement? All squares are rectangles. A.If a figure is a square, then it is a rectangle.
B.If a figure is a rectangle, then it is a square.
C.If a figure is not a square, then it is not a rectangle.
D.If a figure is not a rectangle, then it is not a square.

Answers

D.) If a figure is not a rectangle, then it is not a square
Contrapositive is when it switches the two sides up and makes it negative as well.

Answer:

D

Step-by-step explanation:

Write an equation of a circle whose center is (-3,2) and whose diameter is 10

Answers

The\ equation\ of\ a\ circle:(x-a)^2+(y-b)^2=r^2\n\n(a;\ b)-the\ coordinates\ of\ the\ cener;\ r-the\ radius\n-------------------------------\nThe\ center\ (-3;\ 2)\to a=-3;\ b=2\na\ diameter\ d=2r\ therefore\ r=(1)/(2)d\to r=(1)/(2)\cdot10=5\n\nAnswer:\n\boxed{(x-(-3))^2+(y-2)^2=5^2}\to\boxed{(x+3)^2+(y-2)^2=25}
(x-x_1)^2+(y-y_1)^2=r^2\n(x_1,y_1) - \text{ center}\n\nr=\frac{\text{ diameter}}{2}=(10)/(2)=5\n\n(x-(-3))^2+(y-2)^2=5^2\n\boxed{(x+3)^2+(y-2)^2=25}

Which is the best definition of the radius of a circle? A. The distance around the outside of the circle
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

Answers

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.

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D since the radius is the distance between the center and any edge of the circle

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What is the range of this graph

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