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
Rashid [163]
2 years ago
6

Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-co

ordinate of 3?
Mathematics
1 answer:
jeyben [28]2 years ago
4 0

Answer:

The value of the y-coordinate is -706

Step-by-step explanation:

The equation of a straight line is;

y = mx + c

where m is slope and c is t-intercept

Given the slope, we can write the equation as;

y = -79x + c

we need to get c

Just put in the x and y values of the given point

X = -6 and y = 5

5 = -79(-6) + c

5 = 474 + c

c = 5-474 = -469

So the complete equation of the line would

be ;

y = -79x - 469

To get the y-coordinate of the point, just insert the x value into the equation;

y = -79(3) - 469

y = -237 - 469 = -706

You might be interested in
Which is the third greatest rational number
patriot [66]
The order is -1.4, -3/5, 1/4, 0.9, and 9/2. So
D is the correct answer
7 0
2 years ago
Which expression is equivalent to 15x + 3?
adelina 88 [10]

Answer:

the answer is 15x+3=3(5x+1)

6 0
3 years ago
2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain wh
Vaselesa [24]

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

6 0
2 years ago
Which which value is not located between square root 9/3 2n
tangare [24]

3 and -3 are said to be the square roots of 9. A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand. ... Negative numbers don't have real square roots since a square is either positive or 0.

7 0
3 years ago
Write and equation of the translated or rotated graph in general form (picture below)
WINSTONCH [101]

Answer:

The answer is hyperbola; (x')² - (y')² - 16 = 0 ⇒ answer (a)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

 xy = -8

∵ A = 0 , B = 1 , C = 0

∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* The equation xy = -8

∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

- Where x' = xcosФ - ysinФ and y' = xsinФ + ycosФ

∴ x' = xcos(π/4) - ysin(π/4) , y' = xsin(π/4) + ycos(π/4)

∴ x' = x/√2 - y/√2 = (x - y)/√2

∴ y' = x/√2 + y/√2 = (x + y)/√2

* Lets substitute x' and y' in the 1st answer

∵ (x')² - (y')² - 16 = 0

∴ (\frac{x-y}{\sqrt{2}})^{2}-(\frac{x+y}{\sqrt{2}})^{2}=

 ( \frac{x^{2}-2xy+y^{2}}{2})-(\frac{x^{2}+2xy+y^{2}}{2})-16=0

* Lets open the bracket

∴ \frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0

* Lets add the like terms

∴ \frac{-4xy}{2}-16=0

* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

∴ Answer (a) is our answer

∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

6 0
3 years ago
Read 2 more answers
Other questions:
  • 00013 in scientific notation
    12·1 answer
  • What is the exponent for 100,000
    15·2 answers
  • Please help I really need help on this
    6·2 answers
  • PLEASE HELP!!
    14·2 answers
  • Twin Primes Conjecture A natural number is called a prime number if it has exactly two factors, 1 and itself. 1 is not a prime n
    13·1 answer
  • This is simplifying algebraic expressions, i want to know how you do this and can you show the steps so i understand better? Tha
    15·1 answer
  • WILL MARK BRAINLIEST!!!! PLEASE HELP
    6·1 answer
  • I have more im about to post it after this :D plz help and explain
    9·2 answers
  • A number w decided by 5 equals 6​
    13·1 answer
  • Cate wants to buy calzones and sodas for her friends. She finds that when she buys 2 calzones and 3 sodas, she pays $13. When sh
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!