Answer:
(x = -11 and y = 56) or (x = 1 and y = -4)
Step-by-step explanation:
The equation of the parabola is 10 + y = 5x + x² ........(1)
And 5x + y = 1 ....... (2) is the straight line.
We have to find solutions to equations (1) and (2).
Now, solving equations (1) and (2) we get, 10 + (1 - 5x) = 5x + x²
⇒ 11 - 5x = 5x +x²
⇒x² + 10x - 11 = 0
⇒ (x + 11) (x - 1) = 0
Hence, x = -11 or x = 1
Now, from equation (2),
y = 1 - 5x = 1 - 5(-11) = 56 {When x = -11}
And, y = 1 - 5(1) = -4 (When x = 1}
Therefore, the solution of the system are (x = -11 and y = 56) or (x = 1 and y = -4) (Answer)
Answer:
Step-by-step explanation:
2×1000 + (2+2)×100 + (2+2+2)×10 + (2+2+2+2) = 2468
Answer:
84 is the largest number that will round to 80.
plz mark brainliest✌️✌️
Answer:
13 miles
Step-by-step explanation:
The shortest distance would be a straight line between the two points. This would be a hypotenuse of a right triangle
We can use the Pythagorean theorem to determine the length
a^2+b^2=c^2
5^2 +12^2 = c^2
25+144= c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c