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Tpy6a [65]
2 years ago
5

Graph the line with slope -2 passing through the point (4, 1)

Mathematics
1 answer:
Scrat [10]2 years ago
4 0

Answer:

Use points (4,1) and (3,-1)

Step-by-step explanation:

Let's say the other coordinates are (x,y).

Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:

[1-(-1)]/(4-3)=2/1=2

So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.

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The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Sh
Cloud [144]

Answer:

A)  The vertex ( h , k) = ( -2 , -18)

B) The minimum value of the given function = - 18

C) The Axis of the symmetry for f(t) is y -axis

Step-by-step explanation:

A)

Given a parabola   f(t) = t² + 4 t − 14

                               f(t) =  t² + 2(2) t + (2)²-4− 14

                           f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

                   (x-h))² = 4 a ( y - k))²

<em>The vertex ( h , k) = ( -2 , -18)</em>

B)

  Given a parabola   f(t) = t² + 4 t − 14

  Differentiating with respective to 't'

                                 f¹(t) = 2 t + 4

                                  f¹(t) = 2 t + 4 = 0

now                      t = \frac{-4}{2} = -2

Again Differentiating with respective to 't'

                    f^{ll} (t) = 2 (1) >0

f(x) has a minimum value at t = -2

Given f(t) = t² + 4 t − 14

         f( -2) = 4 + 4(-2) -14 = 4 -8 -14 = -18

The minimum value of the given function = - 18

C)

f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

                   (x-h))² = 4 a ( y - k))²

The vertex ( h , k) = ( -2 , -18)

The Axis of the symmetry for f(t) is y -axis

8 0
3 years ago
The following table lists the calories burned by a 120-pound person strolling for t minutes.
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The table would be nice 
3 0
3 years ago
Which of the following is a Composite Number?
adoni [48]
61 is the composite Number your welcome
5 0
3 years ago
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In an arithmetic sequence, if you are given a3=93 and a5=135, find a=100. Must show work to receive full credit.
Elanso [62]

The 100th term of the sequence is 2130.

<h3>How to calculate the value?</h3>

a3 = a + 2d = 93

a5 = a + 4d = 135

Compute both equations

(4d - 2d) = (135 - 93)

2d = 42

d = 42/2 = 21

a + 2d = 93

a + 2(21) = 93

a + 42 = 93

a = 94 - 42 = 51

100th term will be:

= a + 99d

= 51 + 99(21)

= 51 + 2079

= 2130

Learn more about sequence on:

brainly.com/question/6561461

#SPJ1

5 0
1 year ago
I need help help please
Nitella [24]

Answer:

I think it is b

Step-by-step explanation:

I hope this is correct

6 0
2 years ago
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