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Nesterboy [21]
3 years ago
12

What are the x-intercepts of a parabola with a vertex of (-1,-16) and a y-intercept of (0,-15)?

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0
The vertex-form equation is
  y = a(x+1)² -16
Putting in the y-intercept values, we have
  -15 = a(0+1)² -16
  1 = a . . . . . . . . . . . add 16

Then the x-intercepts can be found where y=0.
  0 = (x+1)² -16
  16 = (x+1)²
  ±4 = x+1
  x = -1 ± 4 = {-5, 3}

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Prove identity tan 3x−tan 2x−tanx = tan 3xtan 2xtanx
NeX [460]
Tan ( a + b ) = [ tan a + tan b ] / [ 1 - (tan a)*(tan b) ];

let be a = 2x and b = x;

=> tan 3x = [ tan 2x + tan x ] / [ 1 - (tan 2x)*(tan x) ] => (tan 3x)*[ 1 - (tan 2x)*(tan x) ] =
 
tan 2x + tan x => tan3x -  tan 3xtan 2xtanx = tan 2x + tan x => <span> tan 3x−tan 2x−tanx = tan 3xtan 2xtanx.</span><span />
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3 years ago
The greatest power failure in the history of Dallas, Texas lasted
Dmitriy789 [7]

Answer:

its 780 minutes

Step-by-step explanation:

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5 0
3 years ago
Is 4 a factor of 4x+8?
Inga [223]

Answer:

4 is a factor

Step-by-step explanation:

4x+8

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7 0
3 years ago
Read 2 more answers
Lakelyn is training for a triathlon she is practising her swiming running and biking skills so far she can swim at a rate of 250
Nezavi [6.7K]

Answer:

The answer to the question is

It would take Lalelyn bout 3 hours to run the 18m miles, and it will take her

\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t and x +y+z =18 where x, y, and z are the distannce covered swimming, running and bikinr respectifully

Step-by-step explanation:

To solve the question, we lisrt out the variables as follows

Swimming speed of Lakelyn = 250 yards every 5 minutes or 250×12 = 3000 yards/hour = 1.7 miles/hr

Running speed of Lakelyn = 6 miles/hour

Biking speed = 12 miles/hour

The duration it will take for Lakelyn to run 18 miles is given by

Timee taken to run 18 miles t = (Distance covered)/ (Speed of Lakelyn))

or t = D/S

Substituting the known values of such as

Running speed of Lakelyn = 6 miles/hour

From which we have the time taken  to run 18 miles = 18 miles /(6 miles/hour) = 3 hours

should the 18 miles form part of the triathlon then, we have

\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t and x +y+z =18

Where x, y and z are the distance covered Swimming, Running and Biking respectively

4 0
3 years ago
Read 2 more answers
What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthes
wariber [46]
The correct axis of symmetry is x = -1.

Explanation:

Our equation is
y=\frac{1}{3}(x+1)^2-3.

This is in vertex form, which is 
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In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).

The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
6 0
3 years ago
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