Answer:
Missing Value Is 4 .
Step-by-step explanation:
According To The Question, We Have
- A model with 4rows*4squares & 4rows*7squares
Equation is 16+28 = X*(4+7)
Solve the above Equation, We get 44=X*11 ⇔ X=4
Answer:
15 units
Step-by-step explanation:
ΔABC is right with ∠C = 90° and AB the hypotenuse
using Pythagoras' identity on the triangle
AB² = AC² + BC² , hence
BC² = AB² - AC² = 17² - 8² = 289 - 64 = 225
⇒BC =
= 15 units
D>0 that means it has two real solutions (unequal).
<span>It can have one solution only if D=0 and complex solutions only if D<0. </span>
<span>D means discriminant
Answer: B it has two real solutions
hope this helps :)</span>

Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is

where, u₁ is first term and d is common difference.
4th term is 24.

...(i)
Sum of nth term of an AP is
![S_n=\dfrac{n}{2}[2u_1+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2u_1%2B%28n-1%29d%5D)
Sum of first three terms is 42.
![S_3=\dfrac{3}{2}[2u_1+(3-1)d]](https://tex.z-dn.net/?f=S_3%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B%283-1%29d%5D)
![42=\dfrac{3}{2}[2u_1+2d]](https://tex.z-dn.net/?f=42%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B2d%5D)
Divide both sides by 3.
...(ii)
On subtract (ii) from (i), we get


Put d=5 in equation (ii).
Therefore, the first term is
and common difference is
.