H=height
y=number of years.
we have the next expresion:
h(y)=my+b
m=the slope of the line, in this case, the slope is equal to "18"; (18 cm/ year).
b=the initial heigth, in this case, the initial heigth is equal to "5" (5 cm).
Therefore, our expression will be:
h(y)=18y +5
answer: h(y)=18y+5
Hello,
The method is to find the roots of the denominator.
x²-2x-15=x²+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)
Roots are x=-3 and x=5
Answer C
Suppose, we are given
two points as
F as (x1, y1)
H as (x2, y2)
assume it divides in m/n
we can use formula

now, we are given points as
F=(x1, y1)=(4,8)

H=(x2, y2)=(10,12)


so,

now, we can find


so, point is
.................Answer
Answer:
7.7 km
Explanation:
Use cosine rule as here given two sides and one angle.
Cosine rule states:
a² = b² + c² - 2bc cos(A)
While solving, treat a = 7.5 km as to that opposite angle is given of 68°
then b = missing side, c = 5.2 km, A = 68°
Applying rule:
7.5² = b² + 5.2² - 2(b)(5.2) cos(68)
56.25 = b² + 27.04 - 3.8959b
56.25 - 27.04 = b² - 3.8959b
b² - 3.8959b = 29.21
b² - 3.8959b - 29.21 = 0
apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]




As length cannot be negative. Hence the value of b is only 7.7 km
Answer:
1/6
Step-by-step explanation:
P(8) = number of 8's / total = 1/3
Then keeping the card so we have 7 and 9
P(7) = number of 7's / total = 1/2
P(8, keep, 7) = 1/3 * 1/2 = 1/6