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
Keith_Richards [23]
4 years ago
8

Solve the following system.

Mathematics
1 answer:
sineoko [7]4 years ago
8 0

Answer:

The solution set is { (3, 4), (5 , 0) }.

Step-by-step explanation:

x^2 + y^2= 25

2x   +   y =  10

We use substitution:

From the second equation y = 10 - 2x.

Substituting for y in the first equation:

x^2 + (10 -2x)^2 = 25

x^2 + 100 - 40x + 4x^2 - 25 = 0

5x^2 - 40x  + 75 = 0

Divide through by 5:

x^2 - 8x + 15 = 0

(x - 3)(x - 5) = 0

x = 3, 5.

when x = 3 , y = 10 - 2(3) = 4.

when x = 5, y = 10 - 2(5) = 0.

You might be interested in
If mZDEC = (12x - 3), mZBCE =
kati45 [8]

Answer:

Step-by-step explanation:

12x - 3 = 180 - (7x - 26) supplementary angles

19x = 209

   x = 11

m∠DEC = 12(11) - 3 = 129°

m∠BCE = 7(11) - 26 = 51°

M∠ADE = 129 - 72 = 57°  exterior angle rule

m∠EDB = 180 - 57 = 123° supplementary angles

m∠DBC = 57° corresponding angle to ADE

3 0
3 years ago
write an equation to represent the total cost for a certain number of cans. Use "c" for cost and "n" for number of cans​
Allushta [10]

Answer:

C(n)=1.25n

Where n= number of cans

Step-by-step explanation:

C=cost

n=number of cans

Quantity Total cost

1 $1.25

2 $2.50

3 $3.75

4 $5.00

Total cost, c(n) =1.25n

Check

Total cost when n=4

Total cost c(4)=1.25×4

Total cost c(4)=5.00

8 0
3 years ago
Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.
Anastaziya [24]

The simplification of the given expression (4-5i)(2+6i)-(3-2i), we get -30i^2+16i+5.

Given expression is:

  • (4-5i)(2+6i)-(3-2i)

By applying the multiplication, we get

→ (8-10i+24i-30i^2)-(3-2i)

By multiplying the (-) sign into the bracket, we get

→ 8-10i+24i-30i^2-3+2i

→ 5+16i-30i^2

By arranging the terms, we get

→ -30i^2+16i+5

Thus the answer above is right.

Learn more:

brainly.com/question/19593573

4 0
3 years ago
Read 2 more answers
I'm stuck!!! Please help!!!!
11111nata11111 [884]
The answer for  blank #2 is 26
7 0
3 years ago
Find the difference between the product of 21.23 and 2.04 and the sum of 1.115, 3.18, 22.0613 and 12.2384
umka2103 [35]
The answer is 19.4047.

To find the answer, follow my instructions:
First, find the difference or subtract 21.23 and 2.04. You'll get 19.19.

Second, find the sum or add the numbers 1.115, 3.18, 22.0613, and 12.2384. Remember that when adding numbers that are decimals, you have to align all of the decimal points to get the right answer. The sum of all those numbers are 38.5947.

Third, gather your data. So you got the numbers 19.19, and 38.5947. The question is asking for the difference between them. Remember that difference means subtraction or subtracting/minus. So subtract those numbers. You'll get 19.4047.

I hope you find this answer the most helpful! :)
3 0
3 years ago
Other questions:
  • Use graphing to find the solutions to the system of equation x^2-y=4 2x+y=-1
    14·2 answers
  • Please solve!! I will give you the Brainliest!!!!!
    13·1 answer
  • Twio angels that form a right angel are supplementary
    8·2 answers
  • Jacob's father runs a restaurant. He uses 9 cartons of eggs every breakfast. Each carton holds 36 eggs. About how many eggs does
    8·2 answers
  • Find the value of Y that makes the fraction equivalent
    7·2 answers
  • Please help me out , Currently stuck on this problem
    6·1 answer
  • Enter the explicit rule for the geometric sequence.<br><br> 9,6,4,83,…
    7·1 answer
  • What is the measure? ( help please due today for a grade!! ) THANKS FOR HELPING ME!!! :)
    5·2 answers
  • A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 39°. A sailor on Ship B measures the angle
    11·1 answer
  • What is the answer to the problem.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!