So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope -1/3 and y intercept 0</span>
Let the number be x
So 12% of x
= 0.12 of x
= 0.12x
Also 10 % of 6
= 0.10 of 6
= 0.10 ×6
= 0.6
Now 12% of x is the same as 10% of 6.
So
Now as both represent the same quantity
So 0.12x = 0.6
Dividing both sides by 0.12
We get
x = 0.6 / 0.12
x= 5
Hence 12% of 5 is the same as 10% of 6
Answer:
last option, 17
Step-by-step explanation:
sqrt(8^2+15^2)
Answer:
(7, 32) and (2, 12)
Step-by-step explanation:
y = 4x + 4
y = x² - 5x + 18
4x + 4 = x² - 5x + 18
x² - 9x + 14 = 0
14 = (-7)(-2)
-9 = -7 + (-2)
(x - 7)(x - 2)=0
x= 7, x = 2
For x = 7
y = 4x + 4 = 4*7 + 4 = 32
(7, 32)
For x = 2
y = 4x + 4 = 4*2 + 4 = 12
(2, 12)
Check:
y = x² - 5x + 18
(7, 32)
32 = 7² - 5*7 + 18
32= 32 true
(2, 12)
12 = 2² - 5*2 + 18
12 = 12 true
