Answer:
y = 5/6x - 5.167
Or
y = 5/6x - 31/6
Step-by-step explanation:
The equation of a line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given points
( 0 , -7) ( 5 , -1)
x1 = 0
y1 = -7
x2 = 5
y2 = -1
Insert the values into the equation
m = -1 - (-7) / 5 - 0
m = -1 + 7 / 5
m = 6/5
y = 6/5x + c
Step 2: sub any of the two points given into the equation
y = 5/6x + c
( 5 , -1)
x = 5
y = -1
-1 = 5/6(5) + c
-1 = 5*5/6 + c
-1 = 25/6 + c.
c = -1 - 25/6
LCM = 6
c = -6 - 25 / 6
c = -31/6
c = -5.167
Step 3: sub c into the equation
y = 5/6x + c
y = 5/6x - 31/6
Or
y = 5/6x - 5.167
The equation of the line is
y = 5/6x - 5.167
Given:

To find:
The value of x.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Since,
, therefore

On substituting the values from the figure, we get


On cross multiplication, we get




Therefore, the value of x is 4.
Answer:
f(x)= 3x-4
f(-1)= 3*-1-4
f(-1)= 2-4
f(-1)= -2
f(x)= 3x-4
f(3)= 3*3-4
f(3)= 9-4
f(3)=5
f(x)= 3x-4
f(1)= 3*1-4
f(1)= 3-4
f(1)= -1
Step-by-step explanation:
Answer:
Yes, the triangles are simirar with a scale factor of 3/2.
Step-by-step explanation:
We find the scale factor by dividing corresponding sides:
12/8=3/2
18/12=3/2
24/16=3/2

So, the answer to this problem is
x = 9/2 or
x = 4.5.