Steps:
1. Take -x + 2y= 21
2. Add x on both sides
2y= x + 21
3. Divide everything by 2
Y= 1/2x + 10.5
4. Substitute the y in 7x + 2y= -19 for 1/2x + 10.5
7x + 2(1/2x + 10.5)= -19
5. Multiply everything in parentheses
7x + x + 21= -19
8x + 21= -19
6. Subtract 21 on both sides
7. 8x=-40
8. Divide each side be 8
9. Your answer is
X=-5
Answer:
(-1,3)
Step-by-step explanation:
The midpoint can be calculated by taking the average of the two x coordinates and y coordinates
For x
5+(-7)=-2
-2/2=-1
For y
4+2=6
6/2=-3
<h2>
Hello!</h2>
The answers are:
B. 
C. 
<h2>Why?</h2>
We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.
Quadratic equation:
So,
From the given equation we have:
Substituting it into the quadratic equation to find the roots, we have:
So,
Hence, the correct options are B and C.
Example:
12+24
GCF:
12: 1,2,3,4,6,12
24: 1,2,3,4,6,8,24
Common factors: 1,2,3,4,6
Greatest factor: 6
Divide:
12 divided 6= 2
24 divided 6= 4
12+24= 6x(2+4)
Answer:
C) 63.2 cm^2
Step-by-step explanation:
Square: (b)(h) = 6 cm x 7.2 cm = 43.2^2
Subtract 10 from 6 to get the width of the rectangle.
Rectangle: (b)(h) = 4 x 2.8 = 11.2 cm^2
To find the triangle, subtract 7.2 with 2.8 and subtract 10 with 6.
Triangle: (1/2)(b)(h) = (1/2)(4)(4.4) = (1/2)(17.6) = 8.8 cm^2
Now, add everything together.
43.2 + 11.2 + 8.8 = 63.2 cm^2
