Find the gradient of the line that is perpendicular to the line 2y=3+5x

Given that UT is the perpendicular bisector of AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.

A student is asked to calculate the value of 353 using the identity (x + y) 3 = x3 + 3x2y + 3xy2 + y3. The student's steps are shown below.

123,499 round it to place value of underlined digit 3

Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes.

Ronnie swims 4 laps each day. How many laps does he swim in 28 days using an area model?

The area of a rectangle is 45 square inches. One dimension is 5 inches. What is the perimeter?

Graph: f (x) = 3sin (pi/3) (x+3) + 2 find: per: amp: Hor: Vert: D: R:

If the data below were represented with a stem-and-leaf plot, a stem of 3 would have how many leaves?

The length of a rectangular garden is 5 feet longer than its width. The garden is surrounded by a 2-foot-wide sidewalk. The sidewalk has an area of 76 square feet. Find the dimensions of the garden.

You are looking at a flag pole from 150 ft away and looking up at the top of the flag pole 60 degrees. How tall is the flag pole?