Answer: d
Step-by-step explanation:
First question:
1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)
Second question:
1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
Answer:
x > 5
Step-by-step explanation:
Given that:
= -2(3x + 2) > -8x + 6
(negative sign before bracket will alter the internal signs when multiplied by each term)
= -6x - 4 > -8x +6
Taking x terms on left side and other constants on right side
= -6x + 8x > 6 +4
Signs will be changer for transferred terms
= 2x > 10
By Dividing both sides 2 we get
=x > 10/2
= x >5
Answer:
x > -11
Step-by-step explanation:
Step 1: Write inequality
x + 3 > -8
Step 2: Solve for <em>x</em>
- Subtract 3 on both sides: x > -11
Here, the inequality is saying that any number greater than -11 will work as a solution.
Answer:
Radius: 8.5 inches
Area ≈ 226.98
Circumference ≈ 53.42
Step-by-step explanation:
2πr = formula for circumference of a circle
πr² = formula for area of a circle
radius of a circle = (1/2)d
