So when you subtract by a negative number, it is the same thing as adding the two numbers.
First find a the LCD, or the least common denominator.
LCM(7,6) = 7•6 = 42
Then make the fractions have 42 as a denominator.
7 5/6 • 7/7 = 7 35/42
4 1/7 • 6/6 = 4 6/42
Finally, add the two mixed numbers
7 35/42
+4 6/42
11 41/42
So 11 41/42 is your answer
Answer: 0.15 m
Step-by-step explanation:
Using the small angle formula
D= kd/206265 where
k= 22 and d= 1400
D= 22 x 1400/206265
D=0.149 m
Hence the linear diameter is 0.15 m.
Answer:
B and C.
Step-by-step explanation:
A is a horizontal line so is not possible.
B. is one possibility.
C.
Convert C and D to slope-intercept form:
-4x + 2y = -6
2y = 4x - 6
y = 2x - 3.
This is also possible.
D.
2x + 3y = -9
3y = -2x -9
y = -2/3 x - 3.
This has a negative slope so not possible.
Thhe easiest way would be to solve for y first
4x=3y-7
add 7
4x+7=3y
divide both sides by 3
(4x+7)/3=y
try each
x=4
(4(4)+7)/3=y
(16+7)/3=y
(23)/3=y
7 and 2/3=y
(4,7.66666)
x=5
(4(5)+7)/3=y
(20+7)/3=y
(27)/3=y
9=y
(5,9)
x=6
(4(6)+7)/3=y
(24+7)/3=y
(31)/3=y
10 and 1/3=y
(6,10.333)
(4,7.66666)
(5,9)
(6,10.333)
when x=4, y=7 and 2/3
when x=5, y=9
when x=6, y=10 and 1/3