Answer:
The equations shows a difference of squares are:
<u>10y²- 4x²</u> $ <u>6y²- x²</u>
Step-by-step explanation:
the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²
We will check the options to find which shows a difference of squares.
1) 10y²- 4x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√10 y + 2x )( √10 y - 2x)
2) 6y²- x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√6y + x )( √6y - x)
3) 8x²−40x+25
The expression is not similar to the general form, so the equation does not represent a difference of squares.
4) 64x²-48x+9
The expression is not similar to the general form, so the equation does not represent a difference of squares.
Answer: 1. It is not possible to construct a triangle of given measure sides.
2. The value of ∠A is 44°
Step-by-step explanation:
1.
Given: Three sides of a triangle
Let a= 12 m , b=30 m and c= 18 m
Now as we know
The sum of two sides of a triangle is always greater than the third side
Therefore we need to show
a+b>c -----(i)
b+c>a -----(ii)
c+a>b -----(iii)
(i a+b= 12+30 = 42>18= b ⇒ a+b>c
ii) b+c=30+18= 48 >12=a ⇒ b+c>a
iii) c+a=18+12=30=b ⇒ c+a= b
Therefore the third condition does not verified
Hence, it is not possible to construct a triangle of given measure sides.
2.
As we now triangle sum property which states that the sum of all the three angles of a triangle is 180°
So we have
Therefore
Hence, the value of ∠A is 44°
Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5
Choose the
correct equation to represent this real-world problem
5.37 = 3x + 1.29A pound of tomatoes costs $1.36
These are the correct answers
