Answer:
Step-by-step explanation:
[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant 
(or, if b is an even number, 1/4 of it) is zero.
<u>I see it! I see it!</u>
Stare at it for a while. First term is 
, third term is 
, we are missing a double product, but we can play with k. For the LHS to be 
you just need 
.
<u>I don't see it...</u>
Then number crunching it is. Set the discriminant to 0, solve for k
Answer:
15N + 21
Step-by-step explanation:
We are given that,
Amount of carpet bought by Peter = N meter²
The cost per meter square of the carpet = $15
So, the cost of 'N' meter square of carpet = 15N dollars.
Also, the delivery charge for the carpet = $21
Thus, the total cost of the carpet is given by,
Total cost = Cost per square meter + Delivery charge
i.e. Total cost = 15N + 21 (in dollars).
Hence, the expression representing the cost in dollars is '15N + 21'.
Answer:
11 units right
Step-by-step explanation:
11 units right
from A (-5, 1) to A' (6, 1)
(-5 + 11, 1 ) = (6, 1)
Answer:
144 feets
Step-by-step explanation:
Look on s(t) like quadratic function. We need to find maximum of the function using 1st diferetioal:
s(t)=-16t^2+64t+80
s’(t)=-32t+64
S’(t)=0 if t=2
For t>2, s’(t)<0
For t<2, s’(t)>0. So the maximum od function is in the point 2.
S(2)=-16*4+64*2+80=-64+128+80=144
Answer:
x = 7
Step-by-step explanation:
*set equations = to each other since they're corresponding angles which are equal to each other*
15x - 5 = 13x + 9 --> *subtract 13x from both sides*
2x - 5 = 9 --> *add 5 to both sides*
2x = 14 *divde by 2 on both sides*
x = 7
check:
15 (7) - 5 = 13 (7) + 9
105 - 5 = 91 + 9
100 = 100
