Think! Why do I think this is an easy question? - What is the y-intercept (b) of a line passing through the points (-7.59, 4.3) and (0, -17.37)?
Answers
b=−17.37
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vertex= ?
axis line of symmetry equation?
Answers
Answer:
The vertex is at ( 3.5, -0.25)
and the axis of symmetry is x = 3.5.
Step-by-step explanation:
Convert to vertex form:
y = x^2 - 7x + 12
y = (x - 3.5)^2 - 3.5^2 + 12
y = (x - 3.5)^2 - 0.25
y = (x - 3.5)^2 - 0.25.
So the vertex is at ( 3.5, -0.25)
and
the axis of symmetry is x = 3.5.
Final answer:
The vertex of the parabola y = x² - 7x + 12 is at (3.5,-0.25) and the equation of the axis of symmetry is x = 3.5.
Explanation:
The given quadratic equation is y = x² - 7x + 12. To determine the vertex and the equation of the axis of symmetry, we need to first find the x-coordinate of the vertex, which is determined by the formula -b/2a. Here in our equation, a = 1 (coefficient of x²) and b = -7 (coefficient of x), so x = -(-7)/(2*1) = 3.5.
The x-coordinate of the vertex is thus 3.5. Now, to get the y-coordinate of the vertex, we substitute x = 3.5 into our equation, so y = (3.5)² - 7*(3.5) + 12 = -0.25. Therefore, the vertex of the parabola is at (3.5,-0.25). The line of symmetry of a parabola always passes through the vertex, so the equation of the axis of symmetry is x = 3.5.
Learn more about Vertex and Axis of Symmetry here:
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Answers
Answer: It will be after 100 minutes both buses stop at the same time again.
Step-by-step explanation:
Since we have given that
Number of minutes after which the northbound bus stops = 20 minutes
Number of minutes after which the southbound bus stops = 25 minutes
We need to find the number of minutes it will before both buses are at the bus stop at the same time again.
So, L.C.M. of 20 and 25 = 100
Hence, it will be after 100 minutes both buses stop at the same time again.
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Answers
Answer:
Step-by-step explanation:
Standard equation of a circle is
As the radius is half of the diameter we can divide 12 by 2 to get a radius, then we can input values into this equation.
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Answer:
20 pints because if you mix 5 pints of blue and 2 pints of yellow it ='s 7 there are 4*7 to = 28 so you would multiply the 4 by the number of pints it took and if you do the math 5 x 4 =20 and 2x4=8 add them together and it = 28 so your answer is 20
Step-by-step explanation:
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the top part is a form of three and the bottom is a form of four