Answer:
see explanation
Step-by-step explanation:
Note there is a common difference d between consecutive terms, that is
d = 7 - (- 3) = 17 - 7 = 27 - 17 = 10
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 10, thus
= - 3 + 10(n - 1) = - 3 + 10n - 10 = 10n - 13 ← explicit formula
The recursive formula allows a term to be found by adding d to the previous term, thus
=
+ 10 ← recursive formula
Answer:
x = 7.5
Step-by-step explanation:
We first labelled the diagram we get
DC = 8
AD = 10
CE = 6
BE = x
∴ AC =AD + DC = 18
∴ BC = BE + ED = x + 6
To Find :
BE = x =?
Solution:
Let DE || AC
In Δ ABC and Δ DEC
∠A ≅ ∠D …………..{corresponding angles ∵ DE || AB }
∠B ≅ ∠E ..............{corresponding angles ∵ DE || AB }
∠C ≅ ∠C ……….....{Reflexive Property}
Δ ABC ~ Δ DEC ….{Angle-Angle-Angle Similarity test}
If two triangles are similar then their sites are in proportion.
On substituting the given values we get
∴ 
Answer:
Where are the product of powers mentioned below?
You didn't add them to your question.
Answer:
b = 10
Step-by-step explanation:
P = 2 (l + b)
l = 15
P = 50
Substitute
50 = 2 (15 + b)
multiply
50 = 30 + 2b
subtract
20 = 2b
divide
b = 10
So check the picture below
if we check the solutions or zeros for the equation, we get

and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is

the truck, ends up with a clearance of

on either side, so, the maximum clearance, the truck can have, those two clearances added together,