You do 5 times x and -2 so you’d get 5x-10=7. Then add 10 to both sides to get 5x=17 and divide 17/5 to get 3.4
In general the binomial expansion is
So in our case, because we want ascending powers of x we'll write,
We need to calculate the binomial coefficients:
Answer:
Step-by-step explanation:
The complete question is shown in the attachment.
The length of the rectangle is x + 12. The width of the rectangle is x + 3.
Recall that area of a rectangle is 
In terms of x, the area is 
Recall the distributive property of real numbers: 
We apply this property to get:
We expand again to get:
We now simplify to obtain:
The area of the rectangle is
Answer:
180
180 because all three angles shows only because it is traingle
The ladder, the wall and the floor form together a triangle rectangle, where the ladder is the hypotenuse of the triangle and the floor and wall are the cathetus. We know from Pythagoreas theorem that the square of the hypotenuse is equal to the sum of the two cathetus squared added, so we can write an equation with the data we have:
hyp^2 = cath1^2 + cath2^2
<span>hyp^2 = wall^2 + floor^2
</span>so we have the hypotenuse value, the floor value and the unknown is the wall height:
(22)^2 = wall^2 + (7)^2
484 = wall^2 + 49
wall^2 = 484 - 49 = 435
wall = √435
wall = 20.9
therefore the ladder touches the wall 20.9 feet above the ground
