Answer:
see explanation
Step-by-step explanation:
Given
(a + b - 2)(a - b + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a - b + 2) + b(a - b + 2) - 2(a - b + 2) ← distribute the parenthesis
= a² - ab + 2a + ab - b² + 2b - 2a + 2b - 4 ← collect like terms
= a² - b² +4b - 4
Answer:
Isosceles triangle
Step-by-step explanation:
Length AB
√(4 - 2)² + (7 - 2)²
√2² + 5²
√4 + 25
√29
Length AC
6 - 2 = 4
Length BC
√(6 - 4)² + (2 - 7)²
√2² + (-5)²
√4 + 25
√29
Length AB and BC is the same.
Length AC is the longest side.
Therefore, it is an isosceles triangle.
Answer:
-8 • (6 + 3) + 390 + 6=324
Step-by-step explanation:
Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
Answer:
37.5
Step-by-step explanation:
so x% of 40 is 15
the equation for that is
x/100 * 40 = 15
40x/100 = 15
multiply 100 on both sides
40x = 1500
divide 40 on both sides
37.5
37.5% of 40 is 15