If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
Answer:
2r*3.14= c
Step-by-step explanation:
2*8=16
16* 3.14=50.24
He will need 51 feet of brick
Shorter <span>piece = x
longer </span><span>piece = 4x
x + 4x = 48.5
5x = 48.5
x = 48.5/5
x = 9.7 cm </span>← shorter piece
longer piece = 4x = 4 * 9.7 = 38.8 cm
Answer:
x = 5/4
Step-by-step explanation:
1. cancel x for log 3x and 2x
2. multiply log 2x-1 by log 2
3.simplify to log 4x-2 = log3
4.logs will cancel out and leave you with 4x-2 = 3
5. solve and get 5/4
The figure is given in the below diagram.
The steps of constructing a square inside a circle are as follows:
Start from the middle O of the provided circle.
Finding the center of a circle's approach can be used to create the center of the circle's center point is not known.
1. Draw a circle and label point A. This will turn into one of the square's vertices.
2. Create point C by drawing a diameter line from point A through the center and back out to the outside of the circle.
3. Set the width of the compass to a little bit more than the distance to O.
4. Sketch an arc above and under O.
5. Repeat by moving the compass to C.
6. To create the new points B and D, draw a line across the intersection of the arc pairs that is long enough to touch the circle at both the top and bottom.
This diameter is perpendicular to the first AC.
7. Draw a line connecting each pair of points A, B, C, and D.
Done. The circle is circled by the square ABCD.
Learn more about the construction here-
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