<h3>
Therefore they are perpendicular.</h3>
Step-by-step explanation:
A equation of line is
y =mx +c
Here the slope of the line is m.
Given equations are
x - 2y = 18
⇔-2y = -x +18
............(1)
and 2x + y = 6
⇔y = -2x +6 ............(2)
Therefore the slope of equation (1) is
= 
Therefore the slope of equation (2) is
= -2
If two lines are perpendicular, when we multiply their slope we get -1.
therefore,
=. (-2) = -1
Therefore they are perpendicular.
Answer:
-11/20
Step-by-step explanation:
2 8 1
(0-— ÷ (0-—))+—
3 9 5
8
Simplify —
8/9
2 8 1
(0 - — ÷ (0 - —)) + —
3 9 5
Simplify —
2/3
2 -8 1
(0 - — ÷ ——) + —
3 9 5
2 -8
Divide — by ——
3 9
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
2 -8 2 9
— ÷ —— = — • ——
3 9 3 -8
(0--3/4)+1/5
Least Common Multiple:
20
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 4
3 • 5 + 4 -11
————————— = ———
20 20
-11/20
OK, so for this equation, your goal is to get the d, and ONLY the d, on one side of the equation. So, to start out, you need to multiply the entire equation, meaning both sides, by 8 because we are trying to get rid of those pesky fractions.
8(1/8(3d-2)=1/4(d+5))
The equation then turns into this because the 8 and 4 cancelled out with the 8.
1(3d-2)=2(d+5)
Now, we need to distribute the left over numbers into the parenthesis.
3d-2=2d+10
And finally, we need to get the d's on one side, and the numbers on the other, so we subtract 2d from both sides and add the 2 to both sides. They then cancel out to make
d=12
Hope it helps! :)
Answer:
Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.
Step-by-step explanation:
1.) Distribute
6−2(4−5)=40
6−8+10=40
2.) Combine like terms
6a-8a+10=40
-2a+10=40
3.) Subtract 10 from both sides of the equation
-2a+10=40
-2a+10-10=40-10
4.) Simplify
subtract the numbers
-2a+10-10=40-10
-2a=40-10
subtract the numbers
-2a=40-10
-2a=30
-2a=30
5.) Divide both sides of the equation by the same term
-2a=30
6.) Simplify
cancel terms that are in both the numerator or denominator
a=
Divide the numbers
a=
a=-15
a=-15
7.) Solution
a=-15
