Which sequence of transformations maps pre-image abc to image a′b′c′ ?

triangle abc was reflected over the y-axis and then translated 2 units up and 2 units to the right.

triangle abc was reflected over the y-axis and then dilated by a scale factor of 2.

triangle abc was rotated 90° counterclockwise and then dilated by a scale factor of 2.

triangle abc was rotated 90° counterclockwise and then translated 2 units up and 2 units to the right.

Write an expression that has three terms and simplifies to 4x - 7. identify the coefficient(s) and constant(s) in your expression

Why is it so easy to buy on impulse and overspend with a credit card? what could you do to counteract this tendency?

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)