Answer:
3x - y = -7
Step-by-step explanation:
y = mx + b
m = deltay/deltax
m = (10 - 1)/[( 1 - (-2)]
m = 9/3 = 3
y = 3x + b
From (-2 | 1) we see that when x = -2, y = 1
Placing into the equation, in order to find b (y-intercept)
y = 3x + b
1 = 3(-2) + b
b = 7
y = 3x + 7 or 3x - y = -7
Answer:
Step-by-step explanation:
Since this is a right angled triangle:
tan(∅) = opposite side/adjacent side
In this triangle:
tan(25°) = x/19
x = 8. 86 ≅ 8.9
Answer:
Option (2)
Step-by-step explanation:
x = 1 is represented by a solid point on a number line.
x > 1 is represented by an arrow starting from x = 1 towards infinity
If we mix both the properties, x ≥ will be represented by an arrow starting from a solid point at x = 1 and moving towards the values greater than one.
From the options given,
Arrow mentioned in Option (2) will be the correct representation of the inequality.
Answer:
1 false
2 true
3 true
4 false
5 true
Step-by-step explanation:
f(a) = (2a - 7 + a^2) and g(a) = (5 – a).
1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial
When added together, they will be a second degree polynomial
2. true When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction
3. true f(a) + g(a) = (2a - 7 + a^2) + (5 – a)
Combining like terms = a^2 +a -2
4. false f(a) - g(a) = (2a - 7 + a^2) - (5 – a)
Distributing the minus sign (2a - 7 + a^2) - 5 + a
Combining like terms a^2 +3a -12
5. true f(a)* g(a) = (2a - 7 + a^2) (5 – a).
Distribute
(2a - 7 + a^2) (5) – (2a - 7 + a^2) (a)
10a -35a +5a^2 -2a^2 -7a +a^3
Combining like term
-a^3 + 3 a^2 + 17 a - 35
