Answer:
.
Step-by-step explanation:
We are given
and
are zeros of the polynomial
.
We want to find the value of
if
.
Lets use veita's formula.
By that formula we have the following equations:
(-b/a where the quadratic is ax^2+bx+c)
(c/a)
Let's simplify those equations:

If
and
, then
.
Let's solve this for k:
Subtract 6 on both sides:

Find a common denominator:

Simplify:
.
The reading in kwhr of the
electric meter shows how much energy consumed in an hour. This can be shown in
your electric meter. The reading of kwhr will reflect on how much bill you are
paying for the energy.
First you do 6 times 14 (6*14=84), next you do 7 divided by 84 (84/7=12). Therefore each person will get 12 ounces of soup.
~Hope this helps!
Answer:

Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = 
= 
= 
=
← exact distance
Answer: BM = 21.4
Step-by-step explanation:
Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as
m/SinM = s/SinS = b/SinB
Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.
From the information given,
Angle M = 102°
Angle B = 35°
Angle S = 180 - (102 + 35) = 43°
b = MS = 18
s = BM
Therefore
18/Sin 35 = BM/Sin 43
Cross multiplying, it becomes
BMSin35 = 18 × Sin 43
BM × 0.5736 = 18 × 0.6820
0.5736BM = 12.276
Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes
0.5736BM/0.5736 = 12.276/0.5736
BM = 21.4