**Answer:**

587

**Step-by-step explanation:**

**Step-by-step explanation:**

ax^2+bx+c=0

a=leading term

ok so if the leading term is positive then opens up and has a <u>min</u>

if leading term is negative then opens down and has a <u>max</u>

leading term is positive

1x^2+8x

it has a min

to complete the square, move c aside take 1/2 of b and square it

b=8

8/2=4

4^2=16

now add that to both sides

x^2+8x+16+6=0+16

factor perfect square

(x+4)^2+6=16

subtract 6

(x+4)^2=10

subtract 10

(x+4)^2-10=0

vertex aka min or max is (h,k) when ou have

y=a(x-h)+k

h=-4

k=-10

**Answer:**

**a****.****1****3****,****3****8****,****6****3****,****8****8**

**Step-by-step explanation:**

they have the same common difference which is 25

A number what else.You know.People with no humor these days.

**Answer:**

The measure of ∠BDA is** 30 Degrees.**

**Step-by-step explanation:**

Lets construct a trapezium with the given data

If O is the point of intersection of the diagonals, ∆ AOD ~ ∆COB. Then

On substituting the given values

Also we know that AC = 6 . That is

AO + OC = 6 or OC = 6 - AO

substituting for CO and cross multiply

5·AO = (6-AO)·7

5AO = 42 - 7AO

12AO = 42

AO = = 3.5

All of the angles at E are right angles, so has the trigonometric ratio

= = 0.5 =

∠BDA = arcsin(1/2) = 30°