Answer:
x = 2/3
Step-by-step explanation:
x − 5(x − 1) = x − 2x + 3
−5 (x − 1) = −2x + 3
−5x + 5 = −2x + 3
5 = −2x + 3 + 5x
5 = 3x + 3
5 − 3 = 3x
2 = 3x
2/3 = x
x = 2/3
Segment E’F’ would be 5 units as well, it is not being altered in any form it is only being translated 5 units to the right.
This is the concept of trigonometry, the value of x will be calculated as follows;
sin theta=[opposite]/[hypotenuse]
theta=x
opposite=16 units
hypotenuse=21 units
thus;
sin x=16/21
hence;
x=arcsin(16/21)
x=49.63
x=50 (to the nearest degrees)
-7 is the answer ihope i heped
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).