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
kykrilka [37]
3 years ago
11

The sum of two numbers is 11. The sum of their squares is 65. Find the numbers. (How do you get the answer?)

Mathematics
1 answer:
Stels [109]3 years ago
7 0
X is the number
<span>The sum of two numbers is 11, so other number is : 11 - x

</span><span>The sum of their squares is 65
</span>
x^2 + (11 - x)^2 = 65
x^2 + 121 - 2(x)(11) + x^2 = 65
2x^2 - 22x + 121 = 65
2x^2 - 22x + 121 -  65 = 0
2x^2 - 22x + 56 = 0
2(x^2 - 11x + 28) = 0
2(x - 7)(x -4 ) = 0
x - 7 = 0
x = 7

x - 4 =0
x =4

answer: the numbers are 4 and 7

double check:

<span>sum of two numbers is 11:
4 + 7 = 11

</span><span>The sum of their squares is 65
</span><span>4^2 + 17^2 = 16 + 49 = 65

</span>
You might be interested in
What's the slope? Help plssss
STALIN [3.7K]

Answer:

-\frac{4}{3}

Step-by-step explanation:

Slope is \frac{y2-y1}{x2-x1} so insert 2 points there and you get -4/3

Please give brainliest.

4 0
2 years ago
Read 2 more answers
True or false: Exterior angles are the angles created when the sides of the triangle are shortened.(1 point)
Lady_Fox [76]

Answer:

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

Step-by-step explanation:

Exterior angles are the angle between the any reference side and line extended from the adjacent side.

the sum of exterior and interior angle is 180 as it lies on a straight line.

_______________________________________________

based on above definition the given statement becomes false.

Hence, correct choice is option third

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

5 0
3 years ago
Calculate the unit rate. A 5 gallon bucket of paint for $70.50​
Sveta_85 [38]
Okay to find the unit rate you must find how much one bucket of paint costs so you divide 70.50/5 and then you will get 14.1 have a nice day (:
6 0
3 years ago
A car rental company charges a $50 flat fee and an additional $20 per day. A second company also
aivan3 [116]

The difference between the flat fees of the two companies is $20

8 0
3 years ago
Please can someone help me with this question?
zhannawk [14.2K]

Answer:

a = 16 π cm²      Exact answer

a = 50.24 cm²       Decimal approximation

Step-by-step explanation:

Radius of the circle

16/2 = 8

Area of the circle

a = πr²

a = π4²

a = 16 π cm²      Exact answer

a = 16 * 3.14

a = 50.24 cm²       Decimal approximation

7 0
3 years ago
Other questions:
  • If cotθ = 2, then the value of the expression cot2 θ+ cosec2θ is
    5·1 answer
  • Jane's bank account grew from $2175 to $2262. what was the percent increase in her account
    11·2 answers
  • The circle given by x^2+y^2-6y-12=0 can be written in standard form like this: x^2+(y-k)^2=21 What is the value of k in this equ
    15·2 answers
  • LINEAR, QUADRATIC, EXPONENTIAL REVIEW: QUESTION 3 Find the equation of the line that has a slope of 2 and passes through the poi
    8·1 answer
  • If the shorter rectangle is 1 unit long, how many units long is the longer rectangle?
    15·2 answers
  • Write the ratio for tan A. ​
    15·1 answer
  • Solve for x and y!!
    5·1 answer
  • Find the surface area of the prism please help fast
    13·1 answer
  • A 25 foot rope was cut into 2 pieces with the length being a ratio of 5 to 12.
    6·1 answer
  • Part B
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!