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
SSSSS [86.1K]
3 years ago
12

Y = x + 5 y = -2x - 4what are the y and x values please ​

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

x=-3, and y=2

Step-by-step explanation:

Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:

x+5=-2x-4

3x+5=-4

3x=-9

x=-3

Plugging in x=-3 into one of the original equations:

y = x + 5

y = -3 + 5

y = 2

Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.

You might be interested in
The following table shows a proportional relationship between x and y.
RUDIKE [14]

Answer:

Assume x is directly proportional to y :

y \:  \alpha  \: x \\ y = kx

when y is 9, x is 2:

substitute to find value of k :

9 = (k \times 2) \\ k =  \frac{9}{2}

Therefore, equation is:

{ \boxed{ \boxed{2y = 9 x}}}

8 0
3 years ago
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
If one quarter (25 cents) is 25% of a dollar, what percent is 23 cents?
Ugo [173]
You need to apply the same reasoning.
25 cents is 25% of a dollar because they are 25 out of 100, that is 25/100 = 25%
For 23 cents is exactly the same reasoning:
23 cents is 23% of a dollar <span>because they are 23 out of 100 cents, that is 23/100 = 23%</span>
5 0
3 years ago
Find the length of side AG<br> Give your answer to 1 decimal place
Firlakuza [10]

Answer:

AC = 17.3

Step-by-step explanation:

AC = √c2 - b2

= √18.6862701378782 - 72

= √300.17669166575

= 17.32561

= 17.3

6 0
3 years ago
What is the value of 20 ÷ (-4)?​
DerKrebs [107]

Answer:

-5

Step-by-step explanation:

20 ÷ (-4)=-5

8 0
3 years ago
Other questions:
  • X-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.
    9·1 answer
  • The function f(x)=x−5 x 2−25 is defined everywhere except at x=±5. if possible, define f at x=5 so that it becomes continuous at
    13·1 answer
  • What is the value of x? <br> Answer options: 15, 35, 25, 30
    15·2 answers
  • Solve for the solution: 2m+1≥7
    8·2 answers
  • I really need help on this please no clue
    11·1 answer
  • In recent years major league baseball games have averaged three hours in duration. However, because games in Denver tend to be h
    14·1 answer
  • Please help me anyone
    7·1 answer
  • Part A: Factor 3x2y2 − 2xy2 − 8y2. Show your work. (4 points) Part B: Factor x2 + 10x + 25. Show your work. (3 points) Part C: F
    7·1 answer
  • If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessar
    12·1 answer
  • Complete the table for the function machine
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!