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grandymaker [24]
3 years ago
14

Find the x-intercept of the parabola of with vertex (1,20) and the y-intercept (0,16). write your answer in this form: (x1,y1),(

x2,y2)
Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0
I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:

(0-1)^2=4p(16-20)

Solving for p, p=-1/16.

Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:

(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1

Here, we have two values of x

x=sqrt(5)+1 and
x=-sqrt(5)+1

thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).
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Answer:

Step-by-step explanation:

) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference

6th row = 23 + (6 - 1) x -3

            = 23 + (5) x -3

            = 23 + (-15)

            = 8 - number of boxes in the top row.

 

b) Sum = N/2[2F + (N - 1) x D]

            = 6/2[2*23 + (6 - 1) x -3]

             = 3  [46  +    (5) x -3 ]

             = 3  [46  +      -15 ]

             = 3  [ 31 ]

             = 93 - total number of boxes in the entire display.

4 0
3 years ago
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natali 33 [55]

Answer:

25,49.

Step-by-step explanation:

8 0
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Express the decimal 0.32 as a fraction
Nataly_w [17]

Answer:

8/25 simplified

Step-by-step explanation:

7 0
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Anyone knows the answer
jarptica [38.1K]
It's C)

the graph is decrasing, so the variable rate is negative (-2/3)

the rest was quite easy, you just take a look at where the graph cuts the y-axis and determine the rest from the rate of going up or down (increase/decrease)
4 0
3 years ago
Read 2 more answers
Explain the difference between parallel and perpendicular slope in fewer than twenty words.
viva [34]

Answer:

parallel refers to two equidistant lines, Because the lines are equally distant, they have the same slope and the angle between them is zero. On the other hand, when two lines intersect at a right angle, they are called perpendicular.

Step-by-step explanation:

7 0
3 years ago
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