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
kramer
3 years ago
13

Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. The solutions are

Mathematics
2 answers:
shepuryov [24]3 years ago
6 0
X+y+5=0

y=-x-5

If a solution exists y=y so we can say

x^2-9x+10=-x-5  add x+5 to both sides

x^2-8x+15=0 now factor

x^2-3x-5x+15=0

x(x-3)-5(x-3)

(x-5)(x-3) so x=3 and 5, using y=-x-5

y(3)=-8 and y(5)=-10

So the two solutions are:

(3,-8) and (5,-10)

ollegr [7]3 years ago
5 0

Answer:

Solution are ( 3,-8) (5 , -10).

Step-by-step explanation:

Given :  y = x² - 9x + 10 and x + y + 5 = 0.

To find : Solve the following system.

Solution : We have given that

y = x² - 9x + 10 -----( equation 1)

x + y + 5 = 0------( equation 2)

First we will solve equation 2 for y

on subtraction both sides by 5

x + y = -5

on subtracting both sides by x

y = -5 -x .

Now plug the value of y in equation 1

-5 -x = x² - 9x + 10

x² - 9x + x +5 + 10 = 0

x² - 8x + 15 = 0

Factoring  x² - 5x- 3x + 15 = 0

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

On grouping (x -3) (x -5)

For x = 3

y = -3 - 5

y = -8.

For x = 5

y = -5 -5

y = -10.

Solution are ( 3,-8) (5 ,- 10)

Therefore, Solution are ( 3,-8) (5 ,-10).

You might be interested in
Marcus is 1.5 meters tall. His sister is 0.1 meter taller than Marcus. Their father is 0.2 meter taller than his sister. How tal
Natasha2012 [34]
The answer is 1.8 m....
3 0
3 years ago
1. Use f(x)and g(x) to find f(x) * g(x).<br> f(x) = -x + 5 and g(x) = 3x + 2
iris [78.8K]
Hdbxbdbdbdndnjddhjebf
6 0
3 years ago
Albert jumped 100 times in 97.5 seconds. Round off the time taken to the nearest second.​
KonstantinChe [14]
Answer
98 seconds
Step by step explanation
The reason being is that .5 would be millisecond and 5 will round up making the answer be 98 seconds
5 0
3 years ago
Could some one help me plz
AlladinOne [14]
X=2.5
Because y ok get 5x-8 for the triangle and x+2 for the square set them up to 5x-8=x+2 and you solve yo get 4x=10 and once you divide you get 2.5
7 0
2 years ago
There are five wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be atta
docker41 [41]

Answer:

Number of Possible Sequence = 5 x 4 x 3 x 2 x 1 = 120 ways

Please give 5-star rating

3 0
2 years ago
Other questions:
  • A sample of 64 was taken from a population, with the mean of the sample being 43 and the standard deviation of the sample being
    13·1 answer
  • Please help me on this
    13·2 answers
  • The quotient of -60 and a number x is 4
    14·1 answer
  • Multiply (4x -7) (5x-8)
    12·2 answers
  • Solve for X 3x - 2 = 8x - 32
    9·2 answers
  • How to multiply these
    13·2 answers
  • The base of an exponential model is 1.024. Is the base a growth or decay factor , why or why not?
    7·2 answers
  • A school class went on a field trip to see a magician perform there were 17 females 20 males in the class the magicians randomly
    11·1 answer
  • How to put 26.23 in scientific notation
    8·1 answer
  • Find volume <br>litre = 5 cm and <br> 3 cm and 6 cm​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!