Answer:
1.8cm²
Step-by-step explanation:
The shape shown is a rhombus with a height of 1.2 cm and a base length of 1.5 cm.
The area of a rhombus can simply be calculated by multiplying the base length by the height
So area = 1.2 * 1.5
1.2 * 1.5 = 1.8
Hence the area of the rhombus is 1.8cm²
Answer:
6 ± i and 6 ± i
Step-by-step explanation:
Let x be the first number.
Let y be the second number.
x + y = 12
x × y = 37
Solve for x in the first equation.
x = 12 - y
Put x as 12-y in the second equation and solve for y.
(12- y)y = 37
12y - y² = 37
- y² + 12y - 37 = 0
y = 6 ± i
Put y as 6 ± i in the first equation and solve for x.
x + 6 ± i = 12
x = 12 - 6 ± i
x = 6 ± i
<h3>
Answer: Choice B</h3>
which is the same as x/((x+6)(x-2)) - 3(x-2)/((x+6)(x-2))
=====================================
Explanation:
The LCD is (x+6)(x-2) which is the factorization of x^2+4x-12, and that is the denominator of the first fraction. The first fraction has the LCD already. The second fraction does not. It has (x+6) but it is missing (x-2).
We multiply top and bottom of the second fraction by (x-2) to get the second fraction to have the LCD.
turns into 
------
So,
This is the same as x/((x+6)(x-2)) - 3(x-2)/((x+6)(x-2))
Note the parenthesis around "(x+6)(x-2)"
Instead of x/(x+6)(x-2) you should write x/( (x+6)(x-2) ) to ensure that all of "(x+6)(x-2)" is in the denominator.
Answer: the number of slices that each person will get is 4 4/9
Step-by-step explanation:
Antonio ordered 5 large pizzas, which have a total of 40 slices.
He invited 8 people to his party. If he plans to divide the pizza up equally among him and his friends, it means that the pizza would be divided among 9 people(Antonio and 8 friends = 9 people).
The number of slices that each of them will get would be
40/9 = 4 4/9 slices
Answer:
x=±√−9
No real solutions.
Step-by-step explanation:
Step 1: Add 3x^2 to both sides.
27+3x2=−3x2+3x2
3x2+27=0
Step 2: Subtract 27 from both sides.
3x2+27−27=0−27
3x2=−27
Step 3: Divide both sides by 3.
3x2
/3
=
−27
/3
x2=−9
Step 4: Take square root.
x=±√−9
