(1)
since both equations express y in terms of x, equate the right sides
- 2x = - 4x + 10 ( subtract 4x from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
substitute x = 5 into y = - 2x → y = - 10
solution is : (x, y ) → (5, - 10 )
(2)
equate the right sides of both equations
3x = 2x - 7 ( subtract 2x from both sides )
x = - 7
substitute x = - 7 into y = 3x → y = - 21
solution is : (x, y) → (- 7, - 21)
(3)
substitute y = - 8 into the other equation
- 8 = 6x + 22 ( subtract 22 from both sides )
- 30 = 6x ( divide both sides by 6 )
x = - 5
solution is : (x, y ) → (- 5, - 8 )
Answer:
5(7)-13=22
Step-by-step explanation:
Answer:
The above result is proved with the help of Pythagoras theorem and explained below.
Step-by-step explanation:
Given figure ABCD in which AD=BC and all angles intersect at right angle. Hence, the triangle formed inside ADC and ABC are right angled triangle.
In triangle ADC,
By applying Pythagoras theorem, we get
→ (1)
In triangle ABC,
→ (2)
Now, from eq (1) and (2)
Peach Tree Dr. is the same distance as Sycamore Ln.
⇒
(∵ AD=BC)
⇒ DC=AB (∵Distance can never negative)
Therefore, Peach Tree Dr. is the same distance as Sycamore Ln.
Answer:
430
Step-by-step explanation:
Use PEMDAS.

X² - 6x + 7 = 0
x² - 6x = -7
x² - 6x + 9 = -7 + 9
(x-3)² = 2