P is the midpoint of DE, DP=3x+2, and DE=10x−12. What is the length of DP?

Mathematics

2 answers:

egoroff_w [7]2 years ago

7 0

Answer:

14 units

Step-by-step explanation:

done the topic

g100num [7]2 years ago

3 0

Notice the picture
we know DE, or the whole segment is 10x-12
and P is the midpoint
so.. the point P is cutting DE in two equal halves,
namely, DP and PE
so... whatever 10x-12 is, DP is half of that
thus
$\bf DP=\cfrac{DE}{2}\implies 3x+2=\cfrac{10x-12}{2}$

solve for "x",

how long is DP? well, once you get "x", plug it in 3x+2,
that's how long DP is :)

You might be interested in

Can someone help please asap

ch4aika [34]

Sn = (a1) x (1 - r^n) / (1 - r)

Substituting the known values:

S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9

3 0

3 years ago

The height, h, in feet of a ball above the ground is given by h = −16t2 + 64t + 80, where t is the time in seconds. How long doe

Gwar [14]

Answer:

t = 5 seconds

Step-by-step explanation:

It is given that, the height h, in feet of a ball above the ground is given by :

$h=-16t^2+64t+80$

Where t is in seconds

We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,

$-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s$