Answer: the two numbers are 7 and -27
Step-by-step explanation:
Let the two numbers be a and b
From the question,
a + b = -27.......eqn 1
a - b = 41............eqn 2
Sum the two equations
2a = 14
Divide both sides by 2
a = 14/2; a = 7
Substitute a = 7 into equation 2
a - b = 41
7 - b = 41
Make b the subject of the equation
-b = 41 -7
-b = 34
b = -34
Check:
a + b = -27, slot the values of a and b
7 + (-34) = -27
7- 34 = -27
I hope this is clear, please mark as brainliest answer
Answer:
y = -1/5x +32/5
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b
we know m = -1/5
y = -1/5x+b
We know a x and y on the line
7 = -1/5(-3) +b
7 = 3/5 +b
Subtract 3/5 from each side
35/5 -3/5 = b
32/5 =b
So the equation is
y = -1/5x +32/5
The axis of symmetry of f(x) is:
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to
the y-axis ⇒ 2nd answer
Step-by-step explanation:
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where
- (h , k) are the coordinates of its vertex point
- The axis of symmetry of it is a vertical line passes through (h , 0)
- The minimum value of the function is y = k at x = h
∵ f(x) = a(x - h)² + k
∵ f(x) = (x - 2)² + 1
∴ a = 1 , h = 2 , k = 1
∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)
∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)
∵ Any vertical line is parallel to y-axis
∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and
passes through (2 , 0)
The axis of symmetry of f(x) is:
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to
the y-axis
Learn more:
You can learn more about quadratic function in brainly.com/question/9390381
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