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3 years ago

Find the value of x.

Mathematics

1 answer:

choli [55]3 years ago

7 0

Answer:

Step-by-step explanation:

By similar triangles, you get

3/BD = BD/7

BD^2 = 21

BD = √21

Now you use Pythagoras to get x

7^2 + BD^2 = x^2

49 + 21 = x^2

60 = x^2

x = √60

7.746

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A line passes through the point (-1,-5) and has a slope of -5.

Anna71 [15]

<h3>hello!</h3>

We're given a point that the line intersects and its slope.

Let's use Point-slope:-

$\boxed{y-y1=m(x-x1)}$

y1 = -5

m=-5

x1=-1

$\boxed{y-(-5)=-5(x-(-1)}$

$\boxed{y+5=-5(x+1)}$

Convert to slope-intercept:-

$\boxed{y+5=-5x-5}$

$\boxed{y=-5x-5-5}$

Finally,

$\bigstar{\boxed{\pmb{y=-5x-10}}$

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

5 0

2 years ago

Which graph represents the solution to the given system ? Y=- 6X - 2Y +2=- 6X

Nonamiya [84]

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the first equation:

$y=- 6x - 2$

You can identify that:

$m=-6\\b=-2$

By definition, the line intersects the x-axis when $y=0$ . Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:

$0=- 6x - 2\\\\2=-6x\\\\x=-\frac{1}{3}\\\\x=-0.333$

Now you can graph it.

Solve for "y" from the second equation:

$y +2=- 6x\\\\y=-6x-2$

You can identify that:

$m=-6\\b=-2$

Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has<u> Infinitely many solutions.</u>

See the graph attached.