Answer:
y = -12x - 77
Step-by-step explanation:
The standard form of the equation is expressed as y = mx+b
m is the slope
Given the coordinate (-7, 7) and (-6, -5).
m = -5-7/-6+7
m = -12/1
m = -12
Get the intercept b
Substitute m= -12 and (-7 7) into y = mx+b
7 = -12(-7) + b
7 = 84 + b
b = 7 - 84
b = -77
Get the required equation
y = mx+b
y = -12x +(-77)
y = -12x - 77
This gives the required equation
Answer:
10x^2+76x+144
Step-by-step explanation: ayo if i helped thank me i hoped i did have a great day
Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
Answer:
-4 ± 2√6
Step-by-step explanation:
Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.
Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.
Because the discriminant is positive, we know that this quadratic has two different real roots. These roots are:
-b ± √(b² - 4ac)
x = -------------------------
2a
which in this case comes out to:
-8 ± √96 -8 ± 4√6
x = ------------------ = ------------------- = -4 ± 2√6
2 2
