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
TiliK225 [7]
2 years ago
15

The distance between the two points P (15,x)and Q(x,-5)is 20.

Mathematics
1 answer:
Travka [436]2 years ago
6 0

Answer:

x = - 5, x = 15

Step-by-step explanation:

Assuming you require to find the values of x

Calculate the distance PQ using the distance formula and equate to 20

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-x_{1})^2    }

with (x₁, y₁ ) = P (15, x ) and (x₂, y₂ ) = Q (x, - 5 )

PQ = \sqrt{(-5-x)^2+(x-15)^2} = 20 ( square both sides )

(- 5 - x)² + (x - 15)² = 20² ← expand factors on left side using FOIL

25 + 10x + x² + x² - 30x + 225 = 400

2x² - 20x + 250 = 400 ( subtract 400 from both sides )

2x² - 20x - 150 = 0 ( divide through by 2 )

x² - 10x - 75 = 0

consider the factors of the constant term (- 75) which sum to give the coefficient of the x- term (- 10)

the factors are - 15 and + 5 , since

- 15 × 5 = - 75 and - 15 + 5 = - 10 , then

(x - 15)(x + 5) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 15 = 0 ⇒ x = 15

You might be interested in
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Aakash has a fever.
Anna11 [10]

Answer:

<h3>102.6°F.</h3>

Step-by-step explanation:

Aakash body temperature during the day = 99.2°F.

If by evening his body temperature increases by 3.4°F, then his body temperature in the evening will be expresses as the sum of his temperature in the day and the increment.

Temperature in the evening = 99.2°F+3.4°F.

Temperature in the evening = 102.6°F.

Hence his body temperature in the evening is 102.6°F.

5 0
3 years ago
What's 6 to the power of 900?​
zheka24 [161]

Answer:

5400

Step-by-step explanation:

6x900 =5400 this is the correct answer

4 0
3 years ago
Read 2 more answers
Jon borrows $6.50 from his friends to pay for snacks, and $11.75 from his sister to go to the movies. how much money does he nee
Alex777 [14]

Answer:

Step-by-step explanation:

You need to add $6.50 and $11.75 and you get $18.25.

3 0
3 years ago
Read 2 more answers
Which inequality is represented by the graph
Furkat [3]

Answer:

(-2, 5) < x

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f,
jonny [76]

Step-by-step explanation:

wow, how complicated can one phrase this ...

the point being :

1 ft = 12 in and vice versa (1 in = 1/12 ft)

so, any measurements given in feet but needed in inches need to be multiplied by 12.

and any measurements given in inches but needed in feet need to be divided by 12.

so,

3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in

27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft

3 0
3 years ago
Other questions:
  • Please help! Solve for x
    6·1 answer
  • What does the ratio of the circumference to the diameter represent? Explain
    13·1 answer
  • A line with a slope of 22 passes through (3,9)3,9. which choice is an equation of this line?
    10·1 answer
  • What is the scale factor for the dilation
    15·1 answer
  • Claire is 2 year younger than her sister. The
    9·1 answer
  • Dwayne misses 12% of his foul shots and Bryan misses 0.2 of his foul shots. Write 12% and 0.2 as fractions in simplest form. The
    7·1 answer
  • Diego scored nine points less than Andre in the basketball team Noah scored twice as many points as Diego if Noah scored 10 poin
    9·2 answers
  • What is the surface area of the rectangular prism below? 8 19 8​
    14·1 answer
  • Clare has 54$ in her bank account. A store credits her account with a 10$ refund. How much does she now have in the bank?​
    11·1 answer
  • Please help Thank yourself
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!