You are creating a logo for a local company in the shape of an isosceles triangle. The legs measure 5 inches each. What is the greatest number of whole inches the base can measure?

9 inches

Step-by-step explanation:

Here, we want to know the greatest length of the third side

We apply the triangle inequality theorem here

To get the third side, then the sum of the lengths of the two must be greater than the measure of the third side

let us call the third side x

Then;

5 + 5 > x

10 > x

The highest whole number before 10 is 9: so it is the greatest possible whole number the base of the isosceles triangle can have

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)

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb