A, B & C form a triangle where

∠BAC = 90°.

AB = 6.6 mm and BC = 17.8 mm.

Find the length of AC, giving your answer rounded to 1 DP.

16.5mm to. 1 decimal place

Step-by-step explanation:

Please check attachment for diagrammatic representation of the triangle.

Since one of the angles of the triangle is 90, this means that we are dealing with a right angled triangle

To find the length of AC, we make use of pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the other two sides. The hypotenuse is the longest side of the triangle which we have as 17.88 mm

Mathematically therefore

17.8^2 = 6.6^2 + AC^2

AC^2 = 17.8^2 - 6.6^2

AC^2 = 283.28

AC = √(273.28)

AC = 16.53 mm

This is 16.5 to 1 decimal place

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is