The answer is >> D) -5/12
5x+3y=-9
-2x+y=8
The first step is the trickery (and quite frankly, hardest to explain) part. You need to multiply one equation by a number that will create one variable to be the negative version of the other...(Confusing, right? Don't worry, I'll show you)
We are going to solve for X first.
We will multiply the second equation by -3
5x+3y=-9
-3(-2x+y)=(-3)8
Now simplify:
5x+3y= -9
6x-3y= -24
Now combine the two equations (add them together)
11x= -33
Divide by 11
X=-3
Now plug X in to one of the first equations:
5(-3)+3y= -9
-15+3y =-9
3Y= 6
Y= 2
So your final answer is:
x= -3
Y= 2
Hope this helps!
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.
1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:
A2=LxW
L=27 centimeters (The lenght of the rectangle)
W=21 centimeters (The width of the rectangle)
2. When you substitute the values of L and W into the formula, you obtain:
A2=(27 cm)(21 cm)
A2=567 cm</span>²
<span>
3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:
A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches
4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:
(9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
How many of the patches can Leia cut from 33 pieces of the fabric?
The answer is: 297 triangular patches</span>
Answer:
x = - 9, x = 0, x = 7
Step-by-step explanation:
Given
x(x - 7)(x + 9) = 0 ← in standard form
Equate each factor to zero and solve for x
x = 0 ⇒ x = 0
x - 7 = 0 ⇒ x = 7
x + 9 = 0 ⇒ x = - 9
Considering that you mean 6.5% interest yearly, the interest gained would be:
$146.25
and the total amount would be $896.25
Hope this helped!
