Answer:
x = 1/5
Step-by-step explanation:
2(5x + 7) = 16
2 * 5x + 2 * 7 = 16
10x + 14 = 16
10x = 16 - 14
10x = 2
x = 2/10
x = 1/5
Angle bisector theorem:
CD/DB=AC/AB
REeplacing the known values:
CD/4=5.6/5.1
Solving for CD. Multiplying both sides of the equation by 4:
4(CD/4)=4(5.6/5.1)
CD=22.4/5.1
CD=4.392156863
Rounded to one decimal place:
CD=4.4
Answer: The length of CD is 4.4
Answer:
4.0
observed time spent exerciseing: 4.5
predicted time:5.5
residual: 1
5.0
observed time spent exerciseing: 6.5
predicted time:5.0
residual: 1.5
Answer:
y = 9x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)
m =
=
= 9, thus
y = 9x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 61), then
61 = 72 + c ⇒ c = 61 - 72 = - 11
y = 9x - 11 ← equation of lie