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Luda [366]
3 years ago
7

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics
2 answers:
zlopas [31]3 years ago
8 0

Answer:

y+1 = -1(x+10)

Step-by-step explanation:

The point slope equation of a line is

y-y1 = m(x-x1) where m is the slope  and (x1, y1) is a point on the line

y - -1 = -1 (x --10)

y+1 = -1(x+10)

Elena-2011 [213]3 years ago
3 0
Hope this helped! the answer is y=-1x-11

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Thank you for anyone who knows this
katen-ka-za [31]

Answer:  

  • Part (a) Vertex = (-3, -1)
  • Part (b) Vertex = (4, 5)
  • Part (c) function 2; max value = 5

=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

  • a = -2
  • b = 16
  • c = -27

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

Part (c)

We'll compare the y values of each vertex

  • Function 1 has a vertex of (-3, 1)
  • Function 2 has a vertex of (4, 5)

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

7 0
2 years ago
If w varies inversely with the square root of t and w = 5 when t = 49,
VARVARA [1.3K]

Answer:

x=k/y

w=k/t

5=k/√49

5=k/7

k=5×7

k=35

5 0
3 years ago
I need help ASAP pls
Molodets [167]

Answer

Rise from the blue dot run to the red dot. Rise over run.

Step-by-step explanation:

1/8 would be your answer

8 0
3 years ago
Read 2 more answers
3. Which pair of quantities form a proportional relationship? ​
pychu [463]
C
D

Reason: their ratio is 1


Mark brainliest please
8 0
2 years ago
What is the slope of the line shown?? Please help i been stuck on this all day yesterday and now today..
Talja [164]
I hope this helps.if you have any questions regarding what I did you can ask

4 0
3 years ago
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