The step that is the part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10 and (E) 0 = x2 – 9x + 20.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
To find the step that is the part of the process of algebraically solving the given system of equations:
That would be:
(C) 4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substituted for y).
Proof:
- y + 5x = x² + 10
- (4x - 10) + 5x = x² + 10
- 4x - 10 = x² -5x + 10
(E) 0 = x2 – 9x + 20 (liked terms are grouped and simplified).
Proof:
- 4x - 10 = x² -5x + 10
- 4x = x² -5x + 10 + 10
- 0 = x² -5x -4x + 20
- 0 = x² - 9x + 20
Solving:
- x² - 9x + 20 = 0
- x² - 5x - 4x + 20 = 0
- (x - 5) (x - 4) = 0
- x = 4 (as question says) OR x = 5
Therefore, the step that is part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10.
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The complete question is given below:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Check all that apply.
(A) y = x2 + 5x + 10
(B) y + 5x = x2 + 10 + 4x – 10
(C) 4x – 10 = x2 – 5x + 10
(D) 0 = x2 – 9x
(E) 0 = x2 – 9x + 20
(F) One x-value of a solution to the system is 4.
Answer:
18
Step-by-step explanation:
You need to figure out what m is so first subtract 12 from then sybtract 9 from 9 then you havem by itself. now subtract 4 from 4 then add 4m to 4m and the add 15 to 9 and you should get your answer
The opposite angles of a parallelogram are equal. Therefore, for parallelogram KLMN, <K = <M
Answer:
Step-by-step explanation:
8.
slope=(83-3)/(10-0)=80/10=8
y-3=8(x-0)
y=8x+3
when x=20
y=8(20)+3=163
243=8x+3
243-3=8x
8x=240
x=240/8=30
when x=40
y=8*40+3=320+3=323
9.
(0,8) and (5,6)
m=(6-8)/(5-0)=-2/5=-0.4
y-8=-0.4(x-0)
y=-0.4x+8