Of the question or answer
Y=3x-1 (2, 5),
Answer is B (2, 5)
Answer:
In the graph we can find two points, lets select:
(2, 15) and (4, 30)
Those are the first two points.
Now, for two pairs (x1, y1) (x2, y2)
The slope of the linear equation y = s*x + b that passes trough those points is:
s = (y2 - y1)/(x2 - x1)
So the slope for our equation is
s = (30 - 15)/(4 - 2) = 15/2
then our linear equation is
y = (15/2)*x + b
now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)
15 = (15/2)*2 + b = 15 + b
b = 15 - 15 = 0
then our equation is:
y = (15/2)*x
Where we used a division and a multiplication.
Answer:
- Define your variable and write your equation: 36 + b + (3b-28) = 180°.
- measure of the second angle: 43°.
- measure of the third angle: 101°
Step-by-step explanation:
a = 36
c = 3b - 28
a + b + c = 180°
a = measure of the first angle
b = measure of the second angle
c = measure of the third angle
then:
1) 36 + b + (3b-28) = 180 ⇒ )Define your variable. Write your equation and solve)
b + 3b + 36 - 28 = 180
4b + 8 = 180
4b = 180 - 8
4b = 172
b = 172/4
2) b = 43° ⇒ measure of the second angle
c = 3b - 28
c = 3*43 - 28
c = 129 - 28
3) c = 101° ⇒ measure of the third angle
Check:
36° + 43° + 101° = 180°
9(3j-6) = 27j - 54
<span>Note: a(b-c) = ab - ac</span>
