Answer: 
<u>Step-by-step explanation:</u>
Use the Slope formula: 
and the Point-Slope formula: y - y₁ = m(x - x₁)
a) (-2, 0) and (3, 4)
Let (x₁, y₁) = (-2, 0)
y - y₁ = m(x - x₁)
b) m = 1/3 (x₁, y₁) = (2, 4)
y - y₁ = m(x - x₁)
Answer: 1. 200, 2. 300
Step-by-step explanation:
40 * 10/2 = 400/2 = 200
or this way:
40 = 20%
40/2 = 20
20 = 10%
20 * 10 = 200
——————————————
90 * 10/3 = 900/3 = 300
or this way:
90 = 30%
90/3 = 30
30 = 10%
30 * 10 = 300
Answer:
15×85
Step-by-step explanation:
15×80
1200
82×18
1476
Answer:
Angle 3 is 49 degrees
=============================
Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)
9514 1404 393
Answer:
- minimum: 2 at x=0
- maximum: 10 at x=10
Step-by-step explanation:
When looking for extremes, one must consider both the turning points and the ends of the interval. Here, there is a relative minimum at x=7, and a relative maximum at x=3. However, the values at the ends of the interval are more extreme than these.
The absolute minimum on the interval is 2 at x=0.
The absolute maximum on the interval is 10 at x=10.
