1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
m_a_m_a [10]
3 years ago
5

Point p is the midpoint of DE. DP =3x + 2 and DE = 10x - 12. What is the length of DP

Mathematics
2 answers:
Flauer [41]3 years ago
8 0
<h2>Answer:</h2>

The length of DP is:

                      DP=14 units

<h2>Step-by-step explanation:</h2>

It is given that:

Point P is the midpoint of DE.

DP =3x + 2 and DE = 10x - 12.

We know that a midpoint divides the given line segment into two equal parts (i.e. it bisects a line segment)

Hence, we have:

DP+PE=DE

Also, DP=PE

This means that:

2DP=DE

2(3x+2)=10x-12

2×(3x)+2×2=10x-12

6x+4=10x-12

10x-6x=4+12

4x=16

x=16/4

x=4

Hence,

DP=3x+2=3×4+2

i.e.

DP=14

shepuryov [24]3 years ago
6 0
If P <span>is the midpoint of DE then 
DE = 2(DP)
10x - 12 = 2(3x + 2)
10x - 12 = 6x + 4
10x - 6x = 4 + 12
4x = 16
x = 16/4
x = 4

DP = 3x + 2 = 3 * 4 + 2 = 12 + 2 = 14 units</span>
You might be interested in
If a=2, b=3 and c=4 then find the numerical value of a2+2abc+b2+c2<br>​
qaws [65]

a=2 b=3 and c=4. then,

<em>a2+2abc+b2+c2</em>

<em>a2+2abc+b2+c2</em><em>=</em><em> </em><em>2</em><em>^</em><em>2</em><em>+</em><em>2</em><em>×</em><em>2</em><em>×</em><em>3</em><em>×</em><em>4</em><em>+</em><em>3</em><em>^</em><em>2</em><em>+</em><em>4</em><em>^</em><em>2</em>

<em>(</em><em>replace</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>a</em><em>,</em><em> </em><em>b</em><em>,</em><em> </em><em>c</em><em> </em><em>by</em><em>2</em><em>,</em><em>3</em><em>,</em><em>4</em><em> </em><em>respectively</em><em> </em><em>tgen</em><em> </em><em>solve</em><em>)</em>

<em>=</em><em> </em><em>4</em><em>+</em><em>4</em><em>8</em><em>+</em><em>9</em><em>+</em><em>1</em><em>6</em>

<em>=</em><em> </em><em>7</em><em>7</em><em>…</em><em>…</em><em>…</em><em>…</em><em>…</em><em>…</em>

<em> </em><em>Therefore</em><em>,</em><em> </em><em>7</em><em>7</em><em> </em><em>is</em><em> </em><em>correct</em><em> </em><em>answer</em><em>.</em>

7 0
3 years ago
Solve and graph this inequality <br> -6&lt;2x-4&lt;12
vampirchik [111]

Answer:

-1 ≤ x ≤8 (don't care about the equal sign)

Step-by-step explanation:

-6+4≤2x≤12+4

=-2≤2x≤16

=-1≤x≤8

7 0
3 years ago
Dino's Pizza charges $15 for a large pizza plus $2per topping. What does the y-intercept represent in this situation?
Lyrx [107]
The Y would be the $15 pizza and x would be the amount of toppings someone would get. 
3 0
3 years ago
Read 2 more answers
What is the range of y = tan(x) 2?
makkiz [27]
The range of <span><span><span><span><span><span><span>ta</span>n</span>g</span>e</span>n</span>t</span><span><span><span><span><span><span>t⁢a</span>⁢n</span>⁢g</span>⁢e</span>⁢n</span>⁢t</span></span> is all real numbers.
<span><span>
</span></span>
7 0
3 years ago
I'm so confused why does it say pounds instead of dollars?
aniked [119]
I think it means that how much will it be per pound. Have a great day!
5 0
3 years ago
Other questions:
  • Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you ca
    11·1 answer
  • How do you express 43.7% as a decimal?
    11·2 answers
  • Which of the following representations are functions?
    12·1 answer
  • Point Q(2, −1) is rotated 90° clockwise about the origin.
    12·1 answer
  • Hom many times can the customer drive around the track for $8
    10·1 answer
  • YA is the angle bisector of ZXYZ. If mZXYZ = 52°, what is mZZYA?
    6·1 answer
  • Help I will Give Brainliest if Correct!
    7·1 answer
  • -2(x + 2) =<br> Please help
    7·2 answers
  • If one yard of material cost 2.00 how much do 5 1/2 yards cost?
    11·2 answers
  • 4b+13/2 equivalent expressions
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!