Answer:
1st option y-5 = 3(x-1)
Step-by-step explanation:
graph shows y intercept of 2
1st option has a y intercept of 2
Answer:
The similar triangles are 
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are and
Solving (b): Why they are similar
Both triangles are similar because is dilated (i.e. enlarged) and then reflected to give .
Solving (c): Calculate BE and PE
The following are equivalent ratios
and
Solving for BE, we have:
Substitute the known values
Express as fraction
Multiply both sides by 450
-- approximated
Solving for PE, we have:
Substitute known values
Express as fraction
Multiply both sides by 400
Answer:
C) x = 20.8
Step-by-step explanation:
Since the line with the length equal to 6 forms a right angle on line x then we know it is perpendicular and bisects it.
Plug in the values: a^2 + b^2 = c^2
a^2 + 6^2 = 12^2
a^2 + 36 = 144
a^2 + 36 - 36 = 144 - 36
a^2 = 108
√a^2 = √108
a = √108
a = 10.3923048454
a = 1/2 x
2a = x
2(10.3923048454) = x
x = 20.7846096908
x = 20.8
Answer: (-3,3) is the answer
Answer:
Step-by-step explanation:
Here is an illustration of the problem:
----------------------------->|<------------------
A t J
Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:
d = r x t
Alex 14 t
Jo 6 t
The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.
14t 6t
---------------------------------->|<------------------
A t J
The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:
14t + 6t = 5 and
20t = 5 so
t = .25 hours or 15 minutes.
If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.
