Step-by-step explanation:STEP 1: Draw two straight, intersecting tangent lines onto the circle. The lines can be completely random. However, the process will be easier if you make them roughly square or rectangular.

STEP 2: Translate both of the lines to the other side of the circle. You will end up with four tangent lines forming a parallelogram or a rough rectangle.

STEP 3: Draw the diagonals of the parallelogram. The point where these diagonal lines intersect is the circle's center.

STEP 4: Check the accuracy of the center with a compass. The center should be on target as long as you didn't slip while translating the lines or when drawing the diagonals. Feel free to erase the parallelogram and diagonal lines.

5 0

3 years ago

Draw a line for the axis of symmetry of function f. Also mark the x-intercept(s), y-intercept, and vertex of the function. f(x)

lilavasa [31]

Answer:

Part A: vertex at (-1,4)

Part B: line of symmetry x =-1

Part C: x-intercept x = -3 and x = 1

Part D: y-intercept y = 3

Step-by-step explanation:

Given f(x) = - (x+1)² + 4

The given equation represents a parabola.

The general equation of the parabola with a vertex at (h,k)

f(x) = (x-h)² + k

Part A: To find the vertex, compare the general equation with the given function.

So, the vertex of the function will be at (-1,4)

Part B: the line for the axis of symmetry of function will be at x =-1

Part C: To find x-intercept, put y = 0

So, - (x+1)² + 4 = 0

- (x+1)² = -4

(x+1)² = 4

x + 1 = ±√4 = ±2

x + 1 = 2 OR x + 1 = -2

x = 1 OR x =-3

x-intercept at x = 1 and x = -3

Part D:To find y-intercept, put x = 0

So, y = - (0+1)² + 4 = -1 + 4 = 3

y-intercept at y = 3

See the attached figure.

8 0

3 years ago

Read 2 more answers

Write the expression in complete factored form 5q^2(a+9)-8(a+9)

trasher [3.6K]

Hopefully this helps you

8 0

3 years ago

Read 2 more answers

The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times sho

castortr0y [4]

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

5 0

2 years ago