Ask question

Ask question

All categories

3 years ago

11

What is the value of x Triangle with sides 10 6 x-6

1 answer:

Grace [21]3 years ago

5 0

Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14

You might be interested in

Order these numbers from least to greatest. −3.12 , −3.2 , 8 , −5216

trapecia [35]

From the least to the greatest.

The one with the biggest size and has a negative sign is the least

-5216, -3.2, -3.12, 8

8 0

2 years ago

PLEASE HELP DEADLINE IN 20 MINS

wel

Answer:

to find the permiter of the shapes add up all the sides

to find the area multiply one of the sides and another side

6 0

2 years ago

X+5=5<br> What is the value?

AveGali [126]

Answer: 1x or x

X=5-5
=X

4 0

2 years ago

Read 2 more answers

Find the equation of this line. y= [?]x+[?]

DochEvi [55]

Answer:

$y=3x-4$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

$m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$ :

$y=3x+b$

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

$y=3x+b$

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into $y=3x+b$ :

$y=3x+(-4)\\y=3x-4$

I hope this helps!

5 0

1 year ago

One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for t

jenyasd209 [6]

Hi, did you forget to attach the two-way table to the question? I can't seem to see it, so I can't answer your question

8 0

2 years ago