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goldfiish [28.3K]
3 years ago
5

The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

Remember that the axis of symmetry is exactly halfway between the x-intercepts.  Find the average of -3 and 5 to obtain this x-value:  It is:

                         -3 + 5

x - intercept = ------------  =  x = 1

                              2

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Answer:

y = x/4 -1/2

Step-by-step explanation:

given coordinates : ( -2, -1 ) and ( 2 , 0 )

gradient = y2 - y1 / x2 - x1

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               = 1/4

equation of line:

y - y1 = m( x - x1 )

y - 0 = 1/4 ( x - 2 )

y = x/4 -1/2

the line shown below to confirm:

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2 years ago
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A kite is 85 feet high with 100 feet of string let out. What is the angle of elevation of the string with the ground? Please sho
a_sh-v [17]

Answer:

  58°

Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

  Sin = Opposite/Hypotenuse

  sin(α) = (85 ft)/(100 ft) = 0.85

The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

  α = arcsin(0.85) ≈ 58.2°

The angle of elevation is about 58°.

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6 0
3 years ago
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what is the slope of the line through (1,0)(1,0)left parenthesis, 1, comma, 0, right parenthesis and (3,8)(3,8)
77julia77 [94]

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It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x_{1}, y_{1} ) and (x_{2}, y_{2} ), to calculate the change in y over the change in x.

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x_{1} = 1

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Substituting the values,

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1} } =\frac{8-0}{3-1} =\frac{8}{2}=4

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.

For more example on slope of line, visit brainly.com/question/3493733.

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7 0
1 year ago
Elizabeth bought 6 feet of elastic at $0.84 per foot. She also bought 18 inches of ribbon at $1.62 per foot. Explain how to calc
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D. because you have to get the price of the elastic, and ribbon and then add them together

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