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
mihalych1998 [28]
3 years ago
15

What is the length of RP?

Mathematics
2 answers:
Marina86 [1]3 years ago
5 0

Answer:

RP = 8 units

Step-by-step explanation:

(x + x + 2) * (x + 2) = (4 + 6) *4

(2x + 2) * (x + 2) =10 * 4

2(x + 1)(x + 2) = 40

(x + 1)(x + 2) = 40/2

= x^2 + 2x + x + 2 = 20

= x^2 + 3x + 2 = 20

= x^2 + 3x - 18 = 0

= x^2 + 6x - 3x - 18 = 0

= x(x + 6) - 3(x + 6) = 0

= (x - 3)(x + 6) = 0

So x = 3, - 6

We know that the length can't be -ve because it's a dimension  

So, x = 3

We know that RP = x + 2 + x

So RP = 3 + 2 + 3

= 8

Hope this helps, and please mark me brainliest if it does!

QveST [7]3 years ago
3 0

Answer:

RP = 14

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(x+x+2) * (x+2) = (4+6)*4

Combine like terms

(2x+2)(x+2)=10*4

2(x+1)(x+2) = 40

Divide by 2

(x+1)(x+2) = 20

FOIL

x^2+2x+x+2 = 20

x^2 +3x+2 =20

Subtract 20

x^2 +3x-18 = 0

Factor

(x +9) (x-6) = 0

Using  the zero product property

x+9=0   x-6 =0

x= -9    x=6

Since the length cannot be negative

x=6

RP = x+2+x = 6+2+6 = 14

You might be interested in
What does numerous mean
Svet_ta [14]
The word numerous means many. If there are numerous errors in a paper then there are many errors.
6 0
3 years ago
Read 2 more answers
Can someone please help me out with this? Honestly have no idea how this table works
soldi70 [24.7K]
I could help you with math
5 0
3 years ago
A=4,B=7,C=11,D=13. Given the number line, AB=
Oksi-84 [34.3K]

Step-by-step explanation:

AB=28 !... .......hope this helps..

5 0
3 years ago
Read 2 more answers
Item 16 An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people b
nignag [31]

Answer:

  • 3:16 P.M.
  • 5:22 P.M.

Step-by-step explanation:

The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...

  (18)(21)/3 = 126 . . . . minutes

This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...

  1:10 +2:06 = 3:16 . . . P.M.

and the next time after that is ...

  3:16 +2:06 = 5:22 . . . P.M.

4 0
3 years ago
Maria bought one package of fresh chives
Semmy [17]

Answer:

4

Step-by-step explanation:

$2x=$8

x=$8÷$2

x=4

We know 1 package cost $2, $2+$2+$2+$2=$8

4times $2 equal to $8

6 0
3 years ago
Other questions:
  • There were 14 people at home. Ten people were watching a football game. Four people were playing a board game. Eight people left
    5·2 answers
  • What is 27 - (6)???????????????????????????
    6·1 answer
  • Find the quotient. Write the answer in simplest form.
    13·1 answer
  • Say there are two integers that are both negative, and you subtract them. would the answer be positive, or remain negative?
    8·1 answer
  • A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is
    11·2 answers
  • Need help filling in the blanks.. comparing depreciation methods.
    12·1 answer
  • Margaret grew apples on a portion of her garden last year. She intends to reduce the length of each side of the portion of her g
    10·1 answer
  • 0.66666667 as a fraction
    5·2 answers
  • Solve the equation for y. 6x+y=12
    10·1 answer
  • A circle has center
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!