Answer:
y = - 3x + 11
Step-by-step explanation:
the altitude is a line from the vertex A drawn perpendicular to the opposite side BC
calculate the slope of BC using the slope formula
m = 
with (x₁, y₁ ) = B (- 7, 3 ) and (x₂, y₂ ) = C (- 1, 5 )
=
=
=
= 
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = - 3x + c ← is the partial equation
to find c substitute A (4, - 1 ) into the partial equation
- 1 = - 12 + c ⇒ c = - 1 + 12 = 11
y = - 3x + 11 ← equation of altitude from A
Answer:
<h3><u>Part A.</u> 5n</h3>
<h3><u>Part B.</u> 5n (2n –3) ( n + 2x)</h3>
Step-by-step explanation:
<u>A. Ans ; </u>
10n³ – 15 n² + 20 xn² – 30 xn
Factors ; 10 —> 10 , 5 , 2 , 1
Factors ; 5 —> 5 , 1
Factors ; 20 —> 20 , 10 , 5 , 4 , 2 , 1
Factors ; 30 —> 30 , 15 , 10 , 6 , 5 , 3 , 2, 1
The greatest common factor of numbers is ; 5
n³—> n , n , n
n² —> n , n
xn² —> x , n , n
xn —> x , n
The greatest common factor of the variables is ; n
<h3>So ; Greatest common factor : 5n</h3>
<u>B . Ans ;</u>

I hope I helped you^_^
Multiply the numerators: 7×8=56 then the denominators 10×21=210. The lowest multiples for 56 and 210 is 14. So divide 56/14=4 and 210/14=15. Your answer is 4/15.
Hope this helps (:
Answer:
A & C & D
Step-by-step explanation:
A & C & D both show the commutative property of multiplication and therefore is the correct answer because 3/5(6) = 18/5 and 3(6/5) is also 18/5.
3 x (6÷5) is also 18/5
(3×6)÷5 is also 18/5
Answer:
343.6 meters cubed
Step-by-step explanation:
28+96+96+96+27.6=343.6