A, B & C form a triangle where BAC = 90° . AB = 7.3 mm and CA = 7.4 mm. Find the length of BC giving your answer rounded to 1 DP.

BC ≈ 10.4 mm(1 decimal)

Step-by-step explanation:

The question forms a right angle triangle. The angle BAC = 90°. The side AB = 7.3 mm and the side CA = 7.4 mm. The length of BC can be solved below.

AC = opposite side = 7.4 mm

AB = adjacent side = 7.3 mm

BC = hypotenuse = ?

Using pythagoras theorem we can find the longest side which is the hypotenuse

c² = a² + b²(pythagoras formular)

where

c = hypotenuse side

BC² = 7.4² + 7.3²

BC² = 54.76 + 53.29

BC² = 108.05

square root both sides

BC = √108.05

BC = 10.3947101931

BC ≈ 10.4 mm(1 decimal place)

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)