Answer:
DE = 4 units.
Step-by-step explanation:
By the chord intersection theorem:
BE * CE = DE * FE
But FE = DE + 5 so:
BE * CE = DE * (DE + 5)
6 * 6 = DE^2 + 5DE
DE^2 + 5DE - 36 = 0
(DE + 9)(DE - 4) = 0
So DE = -9 or 4
It can't be negative so DE = 4.
Step-by-step explanation:
Ok, so, to find this, remember- to find the true price of an item, remember the equation (PRICE DIVIDED BY QUANTITY), this will give you true price. So, for the individual, its $3.99 for one pound. In bulk, to find the true price, do price divided by quantity. $17.45/5= 3.45. So thats the better deal. Anyways, to find out how much cheaper it is, subtract 3.45 from 3.99. The answer is .54, however, since you need to round to the nearest tenth place, the answer would be .50
By 10s, 100s, 5s, 15s, 20s, 30s,
Answer:
x^2 + 5x - 84 = 0
x = 7
Step-by-step explanation:
let the sister's age = y
sister's age (y) = 5 + x equation 1
xy = 84 equation 2
Make y the subject of the formula in equation 2
y = 84/x
equate equation 1 and 2
84/x = 5 + x equation 3
Multiply equation 3 by x
84 = 5x + x^2
x^2 + 5x - 84 = 0
tjis can be solved using quadratic equation
x^2 -7x + 12x -84 = 0
x(x + 12) -7(x + 12)
x = 7 or - 12
age cant be negative so his age is 7
