Answer:
decrease by 5
Step-by-step explanation:
n= 10
then in sequence,
n= n-5
Answer:
25 in and 9 cm
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side
A
x² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
x =
= 25
B
x² + 12² = 15²
x² + 144 = 225 ( subtract 144 from both sides )
x² = 81 ( take square root of both sides )
x =
= 9
X represents the even integerx + 2 represents the next even integerx + 4 represents the next even integer The product of the next two even integers(x + 2)(x + 4)x2 + 6x + 8 FOIL
Answer:
14400
Step-by-step explanation:
We have 2 groups of 5 elements each
there is a condition all boys will be ahead always, therefore in the group of boys there are
5! = 5*4*3*2*1 = 120 differents form
And the girls at the same time can change theirs places according to
5! = 120
Then total ways for the line up in the conditions of the statement of the problem are
T = 120*120
14400
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and 
where
and
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 =
and -1 = 
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3