The straight line joining the points a(3,-5) and b(6,k) has a gradient of 4. work out the value of k.

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points =

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope =

slope =

We know slope =4

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

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the circumference of a circle is, 10.676 cm.

step-by-step explanation:

the formula for circumference of a circle is given by:

where

c is the circumference of a circle and

d is the diameter of a circle.

given: diameter(d) = 3.4 cm and use

substitute these values in [1] we get;

cm

therefore, the circumference of a circle is, 10.676 cm