9514 1404 393
Answer:
x = √(w(w+z))
Step-by-step explanation:
The idea with a right-triangle figure of this sort is that all of the triangles are similar. Here, x is the short side of ∆ABC, and the hypotenuse of ∆BDC. This suggests you want to write a similarity statement involving the short side and hypotenuse.
BC/AC = DC/BC . . . . . short side/hypotenuse
BC² = AC·DC . . . . . . cross multiply
x² = (w+z)w . . . . . . substitute letter values
Taking the square root and rearranging to the form of the applicable answer choice, this is ...
3b because b^2-4= 1/b. So 2/1/b= 2b b+2b = 3b
The professional runner can run 4 1/6 miles in 30 minutes.
Since the professional can run 1 1/4 times as far in 30 minutes, we multiply 3 1/3 by 1 1/4:
(3 1/3)(1 1/4)
Convert each to an improper fraction (multiply the whole number by the denominator and add the numerator):
10/3(5/4) = 50/12 = 25/6 = 4 1/6.
Answer:
The value of 
is 2.
Step-by-step explanation:
The standard form of the equation of the line is of the form:
Where:
, 
- Independent and dependent variable, dimensionless.
- Slope, dimensionless.
- y-intercept, dimensionless.
Given that line 
is perpendicular to 
, the slope is equal to:
Where 
is the slope of the perpendicular line, dimensionless.
If 
, then:
If 
and 
, the y-intercept of the line is:
The equation of the line is 
. Given that 
and 
, the value of is:
The value of is 2.
