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
torisob [31]
4 years ago
8

Find the solution to the system 9x−4y=−13 and 9x−2y=−20

Mathematics
1 answer:
BaLLatris [955]4 years ago
3 0

Answer:

x = -3, y = -3.5.  As an ordered pair it is (-3, -3.5).

Step-by-step explanation:

9x − 4y = −13

9x − 2y =  -20

Subtract:-

-2y = 7

y = -3.5.

Substitute for y in the first equation:

9x - 4(-3.5) = -13

9x =  -27

x = -3.

You might be interested in
If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3))
belka [17]

Answer:

(x-(3+\sqrt5)) or (x-3-\sqrt5) is a factor of the given polynomial.

Step-by-step explanation:

Let us learn the concept with an example first.

Let the polynomial be a quadratic function g(x).

g(x) = x^{2} -5x+6

The roots of g(x) are 2 and 3.

Putting x= 2\ in \ g(x)

2^2-5\times 2+6 = 4-10+6 =0

Putting x= 3\ in \ g(x)

3^2-5\times 3+6 = 9-15+6 =0

Putting x = 2 or x = 3, g(x) = 0 \therefore The roots of equation g(x) are 2 and 3.

Now, let us try to factorize g(x):

x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)

so, the equation can be written as:

g(x) = x^{2} -5x+6=(x-3)(x-2) where 3 and 2 are the roots of equation.

The factors are (x-3) and (x-2).

\therefore for the polynomial f(x) which has roots 3+\sqrt5\ and\ -6 will have a factor:

(x-(3+\sqrt5)) or (x-3-\sqrt5)

8 0
3 years ago
How do I write to tell how you would add 342 and 416
MAVERICK [17]
We can re-group them to add more easily. 

300 + 400 = 700
42 + 16 = 58

700+58 = 758

Answer: 758
7 0
4 years ago
Read 2 more answers
1) A building is 190 feet tall and has a shadow that is also 190 feet. Determine the angle of elevation from the tip of the shad
iren2701 [21]

Answer:

C. 45

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
write the expressions for when you translate the graph of y = |x+2| a) one unit up b) one unit down c) one unit to the left d) o
irina1246 [14]

Hello!

This question is about which values you are changing when you are transforming an equation.

Let's go through the parent function for an absolute value equation and its various transformations.

y=a|b(x-c)|+d

Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.

The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.

One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.

Now that we know this, let's write each expression.

a) y=|x+2|+1

b) y=|x+2|-1

c) y=|x+3|

d) y=|x+1|

Hope this helps!

6 0
3 years ago
Nine students Ryan’s class are wearing gray there are 30 students in his class Ryan says that 30% of his class is wearing gray i
aleksklad [387]

Answer:

ur mom

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Can you help me find out weather 6, 36,and 48 are a factor multiple or neither of 24.
    9·1 answer
  • Factor by grouping cd-9d-4c+36
    9·1 answer
  • What is the first step needed to solve (3/4)x-3=-18 ?
    8·1 answer
  • (-3x^6)^5
    10·1 answer
  • WILL MARK BRAINIEST!! Calvin walks 5 km south, then turns and walks 8 km east. Find his distance and displacement. Explain your
    15·1 answer
  • Complete the equation of the line whose y-interceptis (0, 1) and slope is 4
    7·1 answer
  • I need help...............
    15·2 answers
  • Hana bought a house two years ago costing £210,000. House prices in her region are expected to increase by 2.3% per year, correc
    11·1 answer
  • Help plz:
    10·1 answer
  • Which of the following expressions are equivalent to 1/-7 x -6/5?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!