Answer:
The correct answer is "9√2 units".
Step-by-step explanation:
The given equations are:
⇒ 
...(equation 1)
⇒ 
...(equation 2)
According to the 2nd equation, we get
⇒
⇒ 
On substituting the value of "y" in the 1st equation, we get
⇒
On taking common, we get
On applying factorization, we get
or,
Now,
The points are:
(-7, 12) = (x₁, y₁)
(2, 3) = (x₂, y₂)
By using the distance formula, the length of chord will be:
= 
On substituting the values in the above formula, we get
= 
= 
= 
= 
units
Distribute first so
2x-x+2=2-x+1
Combine like terms so
x+2=3-x
Get terms on the same side so
2x+2=3
Subtract 2
2x=1
Divide
X=1/2 or .5
<span>A
scale factor is the ratio of two similar geometric figures of their
corresponding sides. The scale factor is calculated by locating the
corresponding sides on each figure. We calculate as follows:
scale factor = 9/30 = 0.3
Hope this answers the question. Have a nice day. </span>
speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
Answer:
y + 2 = 
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = (x - 3) ← is in point- slope form
with slope m =
Parallel lines have equal slopes, thus equation of parallel line
with m = and (a, b) = Q(1, - 2) is
y - (- 2) = (x - 1) , that is
y + 2 = (x - 1)
