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
Gnesinka [82]
3 years ago
11

Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. Enter the solution with the smaller x value first.

Mathematics
2 answers:
pochemuha3 years ago
7 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)

Feliz [49]3 years ago
6 0
To solve the system, we need to set the two equations equal to each other. However, we need to manipulate the equations so they equal the same thing.
y=x^2-9x+10

x+y+5=0
y= -5-x

Now that we have two equations that both equal y, we can set them equal to each other and solve for x.
-5-x=x^2-9x+10
0=x^2-8x+15
0=(x-5)(x-3)
0=x-5       0=x-3
x=5          x=3


You might be interested in
67.5 into a fraction
andrey2020 [161]

Answer:

67 1/2

Step-by-step explanation:

67 5/10

67 1/2

3 0
3 years ago
Read 2 more answers
The mass of the moon is 7.36*10^25 grams to the nearest tenth how many moons would it take to equal the mass of earth
trapecia [35]

Nearly 81 moons will be required to equate the mass of moon to the mass of earth.

Step-by-step explanation:

Mass of earth is 5.972*10^24 kg.  

Mass of the moon is 7.36*10^25 g = 7.36*10^22 kg

As mass of the Earth is given as 5.972 * 10^24 kg and mass of the moon is given as 7.36 * 10^22 kg, then the number of moons required to make it equal to the mass of earth can be calculated by taking the ratio of mass of earth to moon.

 Mass of Earth = Number of moons * Mass of Moon

Number of Moons = Mass of Earth/Mass of moon

Number of moons = 5.972 * 10^24/7.36*10^22= 81 moons.

So nearly 81 moons will be required to equate the mass of moon to the mass of earth.

6 0
3 years ago
Simplify the quation, plz someone answer quickly! <br><br>​
Tasya [4]

Answer:

first option

Step-by-step explanation:

took a class that taught this

3 0
3 years ago
Read 2 more answers
What is the vertex of the parabola<br> 1. (-1,0)<br> 2. (0,-3)<br> 3. (1,-4)<br> 4. (3,0)
larisa [96]
The answer is (1,-4)
Remember that the vertex is the center of the parabola.
3 0
3 years ago
SOMEONE DO NUMBER 1 FOR ME IM RUSHING. GIVING BRAINLIEST!!
MrRissso [65]

Answer:

Step-by-step explanation:

                            Mixed number          Improper fraction

a) 1 + 1 + 1/3 =            2\frac{1}{3}                                7/3

b) 1 + 1 + 1 + 5/8 =     3\frac{5}{8}                                 29/8

c) 1 + 1 + 1 +2/4 =      3\frac{2}{4}                                  14/4

6 0
3 years ago
Other questions:
  • Simplify (15x^2 - 24x + 9) divided (3x - 3) =
    14·1 answer
  • An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. I
    11·2 answers
  • Need help with this circumference question
    9·2 answers
  • What is 3 1/2 divided by 1/4 simplified
    5·2 answers
  • A random sample of 4000 U.S. citizens yielded 2150 who are in favor of outlawing cheesing. Find the point estimate for estimatin
    7·1 answer
  • Gerry wants to construct a triangle with segments that
    12·1 answer
  • Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea
    12·1 answer
  • What is the line that passes through (2,4) and (3,8)
    11·2 answers
  • if n is an integer, what is the sum of the next three consecutive even integers greater than 2n? a. 6n + 12 b. 6n + 10 c. 6n + 4
    8·1 answer
  • The length of a rectangle is 3 times its width. The perimeter is 39. Find the length and width of the rectangle.​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!