By solving for x you get x=6
Answer:
EF = 10
Step-by-step explanation:
DE + EF = DF
5x + x + 8 = 20
6x = 20 - 8
6x = 12
x = 12/6
x = 2
EF = x + 8 = 2 + 8 = 10
Answer:
(14a+3, 21+4) = 1
Step-by-step explanation:
We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.
gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1
Therefore,
(14a + 3, 21a + 4) = 1
Answer:
a)It is a vertical line with an undefined slope
b)It is a vertical line with an undefined slope
c)7/4
d)-7/4
Step-by-step explanation:
The formula for gradient of a line is given as;
m=Δy/Δx
where Δy = y₂-y₁ and Δx=x₂-x₁
<u>For L₁ </u>
x=2
It is a vertical line with an undefined slope
<u>For L₂</u>
x=-3
It is a vertical line with an undefined slope
<u>For L₃</u>
The points on the line are : (0,-3) and (4,4)
m= Δy/Δx
m= 4--3/4-0
m=7/4
<u>For L₄</u>
The points on the line are : (0,-3) and (-4,4)
m=Δy/Δx
m=4--3/-4-0
m=7/-4
m= - 7/4