Answer:
Step-by-step explanation:
multiplying fractions is usually super simple. You just multiply the top numbers and multiply the bottom numbers. So 2/3 * 5/7 = (2*5)/(3*7) = 10/21.
Here you have mixed fractions. For me, the easiest way is to make them improper fractions and then multiply them. So 2 and 3/4 becomes 11/4 and 1 and 13/20 becomes 33/20. Let me know if you don't get that.
Anyway, if we make the unknown fraction x we can rewrite this as an algebraic equation.
(11/4)x = 33/20 Now just multiply both sides by 4 and divide both sides by 11 and you will get
x = 3/5
Again, let me know if there's something you don't understand.
Answer:
21
Step-by-step explanation:
x+42=3x
-x -x
42=2x
÷2 ÷2
x=21
Answer:
6 because 9 is the length and you only do length times height and 54 divided by 9 is 6 therefore the height is 6
(11)
we are given two points
(x1,y1)=(0,3)
(x2,y2)=(8,7)
so, we get


(a)
we know that slope of parallel lines are always equal
so, we can use formula

now, we can plug values


............Answer
(b)
we know that slope of perpendicular line is -1/m
so,

now, we can plug value

...............Answer
(12)
we are given two points
(x1,y1)=(5,-1)
(x2,y2)=(3,1)
so, we get


(a)
we know that slope of parallel lines are always equal
so, we can use formula

now, we can plug values


............Answer
(b)
we know that slope of perpendicular line is -1/m
so,

now, we can plug value

...............Answer
Answer:
-67x + 10
Step-by-step explanation:
3x + 10(1 - 7x)
(use distributive property)
3x + 10 - 70x
(simplify)
3x - 70x + 10
-67x + 10