Cross multiplication 13x -13 = 8x+12
combining like terms 13x -8x =12 +13
5x= 25 x= 5
x=5
Answer:
Step-by-step explanation:
over 3
Answer:
y² = 9² + 19² - 2(9)(19)Cos (41°)
Step-by-step explanation:
Triangle X Y Z is shown.
The length of X Y is 9,
the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.
Law of cosines is given as:a²= b² + c² – 2bccos(A)
Applying this to Triangle XYZ, and since we are Solving for y
y² = x² + z² - 2xzCos Y
The length of X Y = x is 9,
the length of Y Z = y is 19
y²= 9² + 19² - 2(9 × 19)Cos (41°)
= y² = 9² + 19² - 2(9)(19)Cos (41°)
Option d is correct
The answer to find the vaules is A=3x
Answer:
a) 0.75 inch/month
b) y-20 = 0.75(x-4)
c) 17 inches
d) 44
a) 0.8 inch/month
b) yes
c) y = 0.8x + 18.8
d) 18.8 inches
Step-by-step explanation:
a) (21.5-20)/(6-4) = 1.5/2
= 0.75 inch/month
If this is correct, 2 months after the 6th month (month 8), it should be
21.5 + 2(0.75) = 23
Which it is
b) y-y1 = m(x-x1)
Where y is the length, x is the months, m is the slope and (x1,y1) is a known point
At x = 4, y = 20
y-20 = 0.75(x-4)
Or
y = 0.75x + c
20 = 0.75(4) + c
c = 20 - 3 = 17
y = 0.75x + 17
c) at birth, 4 months before month 4
So, 20 - 0.75(4) = 17
Which is also the y-intercept
d) y = 0.75(36) + 17
y = 27 + 4 = 44 inches
Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches
a) slope = (30-22)/(14-4)
= 0.8 inch/month
b) 0.8 > 0.75, so yes
c) When x = 4, y = 22
y-22 = 0.8(x - 4)
y - 22 = 0.8x - 3.2
y = 0.8x + 18.8
y-intercept is 18.8
d) at birth, x = 0.
Length was 18.8 inches
Step-by-step explanation:
