Answer:
the length of the altitude is 7.5 cm
Step-by-step explanation:
In a Δ ABC,
is the altitude
If an altitude is drawn to the hypotenuse of the right angle triangle as shown in the image attached below; Then:

NOW;

Finally; the altitude which is
is calculated as:

Thus; the length of the altitude is 7.5 cm
Answer:
y=-3.5x^2+9.5x-4
Step-by-step explanation:
y=a*x^2+b*x+c
4=0+0+c => c=-4
2=a+b-4 =>a+b=6
1=4a+2b-4 => 4a+2b=5
2a+b=2.5
a+b=6
a=-3.5
b=9.5
Angle 4,5, and 8 are equivalent to 100 degree<span />
Answer:
(7, -4.5)
Step-by-step explanation:
25−x=−4y ---> x=25+4y
3x−2y=30
use x to substitute into the second equation
3 (25+4y)-2y = 30
75+12y-2y=30
75+10y=30
10y=-45
y=-4.5
3x-2(-4.5)=30
3x+9=30
3x=21
x=7
check:
25-7=-4*-4.5
18=18 (yes)
3*7-2*-4.5=30
21+9=30
30=30 (yes)
Answer:




Step-by-step explanation:
Given
See attachment
From the attachment, we have:


First, we need to calculate length LM,
Using Pythagoras theorem:



Collect Like Terms



Solving (a): 


Substitute values for MN and LN


Solving (b): 


Substitute values for LM and MN


Solving (c): 


Substitute values for LN and LM


Solving (d): 


Substitute values for LM and LN

