3 1/5 * 1 2/3
16/5 * 5/3 = cross multiply
16/1 * 1/3 = simplify
16/3 = answer
Answers with step-by-step explanation:
1. (7x + x) + 7x
= 7x + 7x + x
= 14x + x
= 15x
2. 5 * (4 * x)
= 5*4x
= 20x
3. 15y + (x + 9y)
= 15y + 9y + x
= 24y + x
4. (6x + 21) + 14
= 6x + 21 + 14
= 6x + 35
5. 3x + 2 + 11x
= 11x+ 3x + 2
= 14x + 2
6. (x + 13y) + 8y
= 13y + 8y + x
= 21y + x
7. (12y + 2x) + 4y
= 12y + 4y + 2x
= 16y + 2x
8. 8 (x4)
= 32x
9. 3 (5x)
= 15x
10. 3x + (7x + 10)
= 3x + 7x + 10
= 21x + 10
11. 5x + (2 + x)
= 6x + 2
12. 4 * x * 10
= 4 * 10 *x
= 40x
13. (x * 12) * 3
= 36x
14. 14x + 9y + 6x
= 20x + 9y
15. 5x + (24 + 14x)
= 19x + 24
Answer:
y = -1/2 x - 13/2
Step-by-step explanation:
what is an equation of the line that is perpendicular to y-4=2(x-6) and passes through (-3,-5)
First, we need the slope of the given line.
y - 4 = 2(x - 6)
y - 4 = 2x - 12
y = 2x - 8
The slope of the given line is 2.
The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular is -1/2.
y = -1/2 x + b
We use the given point as x and y and solve for b.
-5 = -1/2(-3) + b
-10 = 3 + 2b
2b = -13
b = -13/2
The equation of the perpendicular line is:
y = -1/2 x - 13/2
Y-(-7)=-9(x-6)
Y+7= -9x+54
Subtract 7 from both sides
Y= -9x+47
Answer:
125.6m^2
Step-by-step explanation:
Let R be the greater radius and r be the smaller radius
Area of the sidewalk = R^2 - r^2 - This can be the expression
= 3.14
=(R^2-r^2)
=(11^2-9^2)
=(121-81)
= 40
= 3.14 x 40
