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
Choose the equations that are equivalent. Select all that apply.
Nadusha1986 [10]

Answer:

A. 52 = 8n +4

C. 4 = 52 - 8n

3 0
3 years ago
Find [4(cos15° + isin15°)]^3 and express it in a + bi form.
arsen [322]

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 (\frac{\sqrt{2} }{2} + \frac{\sqrt{2} }{2} i )

= 64 (\frac{\sqrt{2} }{2} (1 + i) )

= 32\sqrt{2} (1 + i)

= 32\sqrt{2} + 32\sqrt{2} i

3 0
3 years ago
(03.01)
Troyanec [42]
Number 1s answer would be 2. and number 2s answer would be 2
3 0
3 years ago
Read 2 more answers
Kendra is choosing bouquets of flowers for table centerpieces.
Fudgin [204]

Answer:

She messed up because if a bouquet costs $2.50 then 2.50 times 40 is $100 so she could have saved 20 more dollars

3 0
3 years ago
Read 2 more answers
The bake sale only sold two items. Cookies cost $2 and mini pies cost $5. Josie bought twice
Vlad [161]

she bought 11 cookies and 1 mince pie

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is a possible leading term for the polynomial function graphed below?
    11·2 answers
  • The Patel family has a disposable income of $90,000 annually. Assume that their marginal propensity to consume is 0.8 (the Patel
    15·1 answer
  • I will give brainliest
    14·1 answer
  • This is the rest i could really use your help
    7·2 answers
  • If 5 cans of dog food are 7.75'what is the cost of 20cans
    11·2 answers
  • When sandy family went on a ride trip ,she noticed , after examining the map, that they were 5 inches away from their destinatio
    14·1 answer
  • A dentist has 400 male and female patients that range in age is from 10 years old to 50 years old and up. What is the experiment
    13·1 answer
  • Please help me answer #2
    15·2 answers
  • A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
    11·1 answer
  • Create a visual plot of the data in the table by constructing a bar graph.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!