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3 years ago

Write a slope intercept form equation through given points . (18, 14), (-6, -19)

Mathematics

1 answer:

Kobotan [32]3 years ago

6 0

Answer:

y-14=11/8(x-18)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-19-14)/(-6-18)

m=-33/-24

m=33/24

simplify

m=11/8

y-14=11/8(x-18)

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Helpp worth 20 points!!<br>write the equation of the line below<br><br>

Anit [1.1K]

Answer:

y = -x -2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the x- and y- intercepts of parabola y=5x^2-16x+10

____ [38]

Y-INTERCEPT

$y = 5x^2 - 16x + 10$

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

$\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10$

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

$y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0$

We need to use the quadratic formula

The quadratic formula helps us find what values of $x$ make the equation = 0

Quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\$

The x-intercepts are at:

$(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)$

5 0

2 years ago

Can someone please help me on this?:)

Bingel [31]

Answer:

First blank: 10

Second blank: 1

Step-by-step explanation:

For both i used an online converter:

Please check attachments

7 0

2 years ago

Simplify square root of negative 48.

kvv77 [185]

We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore
$\sqrt{-48} = \sqrt{i^{2}.16.3} = \sqrt{i^{2}} \sqrt{16} \sqrt{3} =4i \sqrt{3}$

Answer: c. $4i \sqrt{3}$

3 0

3 years ago

Solve the equation by factoring: x^2 - 5x = 14

daser333 [38]

Answer:

x=7, x= -2

Step-by-step explanation:

Start by putting the whole equation to one side: x2-5x=14 ----> x2-5x-14=0
Next, factor the equation: x,x -7,2 ----> (x-7)(x+2)=0
Now, solve both equations: x-7=0....x=7 AND x+2=0.....x= -2
Plug both in to make sure that they are correct....both are correct

7 0

3 years ago