Answer:
The answers are given below.
Step-by-step explanation:
7. EFGH is a rectangle. Slope of HE is 
So, the slope of EF is 
= 
8 .PQRS is a square.
So, m∠QSR = 45°
[since the diagonals bisect the internal angles of a square]
9. m∠PTQ = 90°
[since the diagonals of a square intersect each other at right angles]
10. RT = 24 unit ,
so,
PR = 
unit
= 48 unit [since the diagonals of a square bisect each other]
So, SQ = PR = 48 unit
[since the diagonals of a square are equal]
11. Yes, a squae is a rectangle
12. Since RSTU is a rectangle,
so, ∠RUS + ∠SUT = 90°
⇒3x + 6 + 5x - 4 = 90°
⇒x = 11°
So, ∠RUS = 3x + 6 = 39°
For this case we have the following functions:
We must find the following sum of functions:
(f + g) (x)
By definition we have to:
So, we have to:
Answer:
Answer:
6
Step-by-step explanation:
We need to get the equation in square form
We apply completing the square method
Divide all the terms by 5
Group x terms and y terms separately
By completing the square method, we take half of coefficient of x and square it
square it 
Add 1 on both sides
square it 
Add 4 on both sides
Add 6 on both sides
Now factor both parenthesis
The equation of the circle is
Answer:
B. 2x – 1 = 13 and x = 7
Step-by-step explanation:
We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.
Option A.
2x -1 = 13 and x = 6
Using this value in the equation, we get:
2(6) -1 = 13
12 - 1 = 13
11 = 13, which is not true. Hence this option is not valid
Option B.
2x - 1 = 13 and x = 7
Using the value in the equation, we get:
2(7) - 1 =13
14 - 1 =13
13 = 13, which is true. Hence this option is valid.
Option C.
2x + 1 =13 and x = 7
Using the value in the equation, we get:
2(7) + 1 = 13
15 = 13, which is not true. So this option is not valid
Option D.
2x - 1 = 13 and x = 11
Using this value in the equation, we get:
2(11) - 1 = 13
21 = 13, which is not true. Hence this option is not valid.
