Answer:
Step-by-step explanation:
Since both equations equals y, then both equations equal each other.
3x - 1 = 2x + 2
Subtract 2x from both sides
x - 1 = 2
Add 1 to both sides
x = 3
Plug x = 3 into one equation(doesn't matter which)
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
Answer:
1/4
Step-by-step explanation:
take the negative reciprocal when finding the slope of a perpendicular line.
So, -4 can be written as -4/1
flip it to make -1/4
and remove the negative to make 1/4
Answer:
375.66 cm²
Step-by-step explanation:
The two semicircles add to a full circle.
For the circle, d = 18 cm.
r = d/2 = 9 cm.
A = LW - πr²
A = (35 cm)(18 cm) - 3.14(9 cm)²
A = 375.66 cm²
If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.
2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore 5 < a ≤ 8
3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.
<h3>Answer: 5 < a < 11 → S = (5, 11)</h3>
Simplify them until they can be simplified no more, then compare both sides.