The additive inverse of something is the number that, if you add it to the original number, you get 0.
The additive inverse of 5, for example, is -5. 5 plus -5 = 0.
You should be able to see how additive inverses are always going to be just the original number with the signs changed. (i.e., times -1)
The additive inverse of -4a would be 4a. -4a + 4a = 0.
Answer:
15
Step-by-step explanation:
since the x-intercepts are x = - 3 and x = - 5 then the factors are
(x + 3) and (x + 5), hence
f(x) = a(x + 3)(x + 5) ← a is a multiplier
let a = 1 then
f(x) = (x + 3)(x + 5) ← expand factors
f(x) = x² + 8x + 15 ← 15 is the constant term
Answer:
Step-by-step explanation:
we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
q² = p² + r² - 2(p × r)CosQ
q² = 12² + 6² - 2(12 × 6)Cos92
q² = 144 + 36 - 2(72)Cos92
q² = 180 - 144 × - 0.0349
q² = 180 + 5.0256
q² = 185.0256
q = √185.0256
q = 13.6 to the nearest integer
Answer:
The equation of the line would be y = 3x - 10
Step-by-step explanation:
To find the equation, use the slope and the point in point-slope form. Then solve for y.
y - y1 = m(x - x1)
y - -1 = 3(x - 3)
y + 1 = 3x - 9
y = 3x - 10
Answer:
there's no graphed pictured. but slope is rise/ run so just count the boxes between the points on the line. Up and down is the numerator and sideways is the denominator. If its decreasing from left to right it's negative, and if it's increasing left to right then it's positive