Two lines, A and B, are represented by the equations given below: Line A: 2x + 2y = 8 Line B: x + y = 4 Which statement is true
1 answer:
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Answer:
Horizontal tangent
(x, y) = (1, 0)
Vertical tangent
(x, y) = DNE
Step-by-step explanation:
The equation for the slope (m) of the tangent line at any point of a parametric curve is:
Where and
are the first derivatives of the horizontal and vertical components of the parametric curves. Now, the first derivatives are now obtained:
and
The equation of the slope is:
As resulting expression is a linear function, there are no discontinuities and for that reason there are no vertical tangents. However, there is one horizontal tangent, which is:
The point associated with the horizontal tangent is:
The answer is:
Horizontal tangent
(x, y) = (1, 0)
Vertical tangent
(x, y) = DNE
Answer: 5) Vertex = (2, 28) y-intercept = 40 → (0, 40)
6) Vertex = (2, 11) y-intercept = 7 → (0, 7)
<u>Step-by-step explanation:</u>
The y-intercept of the equation is when x = 0. It is the c-value when given in standard form: y = ax² + bx + c
To find the vertex, use the Axis of Symmetry equation to find the x-value
x = -b/(2a). Then plug the x-value into the equation to find the y-value.
5) y = 3x² - 12x + 40
↓ ↓ ↓
a=3 b= -12 c=40
Min: y = 3(2)² - 12(2) + 40
= 3(4) - 24 + 40
= 12 - 24 + 40
= 28
Vertex: (2, 28) y-intercept = 40
*******************************************************************************************
6) y = -x² + 4x + 7
↓ ↓ ↓
a= -1 b=4 c=7
Max: y = -(2)² + 4(2) + 7
= -(4) + 8 + 7
= -4 + 8 + 7
= 11
Vertex: (2, 11) y-intercept = 7
So easy
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just multiply 9 and 6 which gives you your answer 54.
so out of 54, he has graded only 12 pages which means that you need to subtract.
driscoll has 42 pages left to grade.
you can recheck your answer by adding 42 ans 12 which gives your answer as 54. so yup our answer is right.
so driscoll has 9 reports to grade and each page has 6 pages.
just multiply 9 and 6 which gives you your answer 54.
so out of 54, he has graded only 12 pages which means that you need to subtract.
driscoll has 42 pages left to grade.
you can recheck your answer by adding 42 ans 12 which gives your answer as 54. so yup our answer is right.