Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are 
.
Step-by-step explanation:
We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-
.....(i)
Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)
Then , by using (i) , the coordinates of the midpoint of CM would be :-
Hence, the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are .
Answer:
2110 cm³
Step-by-step explanation:
Volume = V1 + V2,
Where V1 is the volume of the pyramid, and V2 is the volume of half cylinder
V1 = ⅓×(Base area)×height
V1 = ⅓×(12.6×21.5)×8.5 = 767.55
V2 = ½×(pi×r²×h)
r = 12.6÷2 = 6.3
V2 = ½×(pi×6.3²×21.5) = 1340.415
Volume = V1 + V2
= 767.55 + 1340.415
= 2107.965
= 2110 cm³ (3 sf)
Answer:21.99
Step-by-step explanation: Given diameter of a circle is(d)=7cm.
Now, we know that circumference of circle is =πd, where d is diameter of circle.
So, here circumference is = π×7cm
= 22/7 x 7 cm
Circumference = 22cm
The solution to x^2 - 4x = 5 is x = -1 or 5
<h3>How to solve the equation?</h3>
The equation is given as:
x^2 - 4x = 5
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add this value to the sides of the equation
x^2 - 4x + 4= 5 + 4
Express as a difference of two squares
(x - 2)^2 = 9
Take the square root of both sides
x - 2 = ±3
Add 2 to both sides
x = 2 ± 3
Evaluate
x = -1 or 5
Hence, the solution to x^2 - 4x = 5 is x = -1 or 5
Read more about quadratic equations at:
brainly.com/question/10449635
#SPJ1
Answer:
x = 3
Step-by-step explanation:
All the angles of a square are 90°
The diagonals bisect the angles , then
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x = 
= 3
