Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Distance is calculated by the square root of (x2-x1)^2 + (y2-y1)^2
We simply substitute the values into this formula
Square root of (3--5)^2 + (0-1)^2
Which is 8
Answer:
Step-by-step explanation:
you can use hypotenuse formula
45-45-90 isosceles right triangle
so, 45= x
x² + x² = 24²
2x² = 24²
x²= 24.12
x= 
or :
you can use this rule: if you see a 45 45 90 isosceles right triagngle (you can look picture) 45=a cm and 90 = 
cm
so ;
a=
hope this helps ^-^
Answer:
65.97
Step-by-step explanation:
volume of a cone is pi(r)^2(h)/3
hope this helps
Answer:
k = 7
Step-by-step explanation:
Applying,
S = (y₂-y₁)/(x₂-x₁)................ Equation 1
Where S = slope of the line.
From the question,
Given: y₂ = 10, y₁ = 4, x₂ = k, x₁ = 1, S = 1
Substitute these values into equation 1
1 = (10-4)/(k-1)
crossmultiplying,
(k-1) = (10-4)
k-1 = 6
k = 6+1
k = 7
