Answer:
Option B.
Step-by-step explanation:
It is given that the new estate will be larger than the original by a scale factor of 1:10.
A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long.
Two angles are equal and one angle is a right angle, it means it is an isosceles right-angled triangle.
Let 
be the length of the legs of the triangle for the larger estate.
The hypotenuse of larger estate = 10 × 10 = 100
Using Pythagoras triangle,
Divide both sides by 2.
Taking square root on both sides.
Hence, the correct option is B.
Answer:
x= 95/2 or x=47.5 or 47 1/2
Step-by-step explanation:
3x + 10 = 5(x - 17)
First Step:
multiply and combine the right side (parentheses)
5 times x = 5x 5 times -17 = -85
3x + 10 = 5x -85
Second Step:
Add like terms ----> which is: 3x and 5x -----10 and -85
BUT since you only want one x on one side, you combine x first.
3x + 10 = 5x -85
-5x -5x
-2x + 10 = -85
NOW
Third Step: Add the integers---> 10 and -85
you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.
which brings you:
-2x + 10 = -85
-10 -10
<u> </u>
NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.
so now we have:
-2x = -95
Step Four:
divide -2 from each side to get X alone
<u>-2x</u> = <u>-95</u>
-2 -2
ANSWER:
x=47.5
The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).
<h3>What are the quadratic equations in one variable completing the squares method?</h3>
The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.
The quadratic equation can resemble this:
x²-a² = (x+a)(x-a)
Given equation;
⇒4x²-9
⇒(2x)²-3²
The equation can be modeled as;
(2x+3)(2x-3)
Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).
To learn more about completing the squares method refer to:
brainly.com/question/16800259
#SPJ1
The set {−1,0,1} is closed under multiplication
