1\) to find the gradient of the tangent. Find the equation of the tangent to the circle \({x^2} + {y^2} - 2x - 2y - 23 = 0\) at the point \(P(5, - 2)\) which lies on the circle.

Find the equation of the tangent to the circle \(x^2 + y^2 = 25 \) at the point (3, -4). The tangent will have an equation in the form \(y = mx + c\) so to find the equation you need to find the ...

Another clue to when you should expect your period is really two to two years-and-a-half after you start developing breasts. So, if you've noticed that three years, four years have passed after ...

Graphs, maps and charts from The Times — and an invitation to students to discuss them live. Two powerful hurricanes recently spun up in the Gulf of Mexico. How has ocean heat in the Gulf ...

We can think of a function in terms of its graph. An example of ... with $\Delta=4ac-b^2$ being the discriminant. Here, one already sees how allowing for irrational numbers such as square roots can ...

With hormonal birth control, you can delay your period by a few days up to a few years. Two side effects of not having a period on birth control are breakthrough bleeding, or spotting, and lack of ...

Two-dimensional materials are substances with a thickness of a few nanometres or less. Electrons in these materials are free to move in the two-dimensional plane, but their restricted motion in ...

This time period took place 359 to 299 million years ... In the U.S., scientists divide the Carboniferous into two parts: the earlier Mississipian (359.2 million to 318.1 million years ago ...

The average COVID-19 incubation period is around five days. Symptoms of COVID-19 can appear as early as two days and as late as 14 days after exposure to the virus. The incubation period starts ...

If you've noticed your period shrinking down to just two or three daysâ or if this is your usual experienceâ you might feel anxious, especially when most people around you have it otherwise.

the most recent 2.6 million years of Earth's history. Glaciers advance from the Poles and then retreat, carving and molding the land with each pulse. Sea levels fall and rise with each period of ...