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
Marianna [84]
3 years ago
8

The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl

e values for $a$? LOTS OF POINTS AND BRAINLIEST TO CORRECT ANSWER!
Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

You might be interested in
In the figure FAC=GBC. find DBC
kozerog [31]
So angle DBC is equal to 180° - 28° which is 152°

~~

I hope that helps you out!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
5 0
3 years ago
Read 2 more answers
ANSWER ASAP PLSSS
Andrei [34K]

vbbbbbbbbbbbbbbbbbdnnnnnAnswer:

Step-by-step explanation:

8 0
3 years ago
X/5 = 2 1/2<br><br> Fraction <br> Have to find x
nadya68 [22]

Answer:

x=12.5

Step-by-step explanation:

x=2 1/2 times 5

x=12.5

3 0
3 years ago
Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6
Katarina [22]

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

7 0
3 years ago
The rectangle shown has a perimeter of 84 cm and the given area. Its length is 6 more than 5 times its width. Write and solve a
inysia [295]
The answer is that the Width is equal to 10 and the length is equal to 36
6 0
3 years ago
Other questions:
  • Please can u answer these for me
    15·1 answer
  • dougs monthly salary was $1250 when he recieved a 5% raise. Six months later he recieved another 2% raise. What is his annual sa
    15·1 answer
  • How can I solve this : -0.5(17x-24)=3.4x-6+6.3x
    7·2 answers
  • Mari has a part time job. She earns $7 an hour. She makes at most $143.50 per week. What is the greatest number of hours she wor
    9·1 answer
  • What's the answer to 5 1/3-5/8=
    9·1 answer
  • What is the density of a material, if 132 grams of the material occupies 3 cubic centimeters?
    5·1 answer
  • A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra
    14·1 answer
  • The two cones are congruent. Determine the unknown measures of the cones. A = units B = units C = units D = units
    5·2 answers
  • 4,385 ÷ 7 with remineder
    6·1 answer
  • It cost $246 to turf a lawn of 43m ² . how much will it cost to turf a lawn of 61m square 2 .​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!