Answer:
y = - 6 + 2x
Step-by-step explanation:
Given
4x - 2y = 12 ( subtract 4x from both sides )
- 2y = 12 - 4x ( divide all terms by - 2 )
y = - 6 + 2x
Solve for y in 3x+7=y
y=7−3x
Substitute y=7−3x
y=7−3x into 8x−3y=30
8x−3y=30.
17x−21=30
Solve for x
x in 17x−21=30
17x−21=30.
X=3
Substitute x=3 into y=7−3x
y=-2
Therefore,
x=3
y=−2
Answer:
x≥5
Step-by-step explanation:
-1 ≥ x/-5
x/-5 ≤ -1
x(-1)/5 ≥ (-1) (-1)
x/5 ≥ 1
5x/5 ≥ 1 ×5
x ≥ 5
I'm not sure but I tried.
For the graph: you can draw a line about 15cm, put 0 at the start then after 5cm put 5 then 10 at 10cm and 15 at the end. At 5 put • that's the starting and go all the way to 15 and add > to show that the line continues. I'm not good at explaining but I hope it helps.
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
D=2r
<span> diameter= 14cm
so, radius= 14/2= 7cm
</span>
