3. | -9 | = 9
7. - | -5 * -7 | = - | 35 | = -35
15. | m + 3 | = 7
m + 3 = 7 -(m + 3) = 7
m = 7 - 3 -m - 3 = 7
m = 4 -m = 10
m = -10
so m = 4 and m = -10
17. | -3d | = 15
-3d = 15 -(-3d) = 15
d = 15/-3 3d = 15
d = - 5 d = 15/3
d = 5
so d = 5 and d = -5
19. | 4b - 5 | = 19
4b - 5 = 19 -(4b - 5) = 19
4b = 19 + 5 -4b + 5 = 19
4b = 24 -4b = 14
b = 24/4 b = 14/-4
b = 6 b = - 7/2
so b = 6 or b = -7/2
20. | x - 1 | + 5 = 2
| x - 1 | = 2 - 5
| x - 1 | = -3
There is no solution on this one because an absolute value cannot equal a negative number
21. -4 | 8 - 5n | = 13
| 8 - 5n | = - 13/4
There is also no solution for this one because of the same reason...absolute values cannot equal negative numbers
Answer:
The graph intersect the y-axis at (0,4.5)
The graph intersect the x-axis at (-3.6,0)
Step-by-step explanation:
The equation is;
-4y=-5x-18
Dived every term by -4
plot using a graph tool to view the liner graph as below
Answer:
2² • 89
The prime factors are: 2 x 2 x 89
or also written as { 2, 2, 89 }
Written in exponential form: 2² x 891
Step-by-step explanation:
56 ÷ 2 = 178 - No remainder! 2 is one of the factors!
178 ÷ 2 = 89 - No remainder! 2 is one of the factors!
89 ÷ 2 = 44.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number
89 ÷ 3 = 29.6667 - This has a remainder. 3 is not a factor.
89 ÷ 5 = 17.8 - This has a remainder. 5 is not a factor.
89 ÷ 7 = 12.7143 - This has a remainder. 7 is not a factor.
I guess you meam 3:2 instead of 3; 3
Anyhow,
The sides of isoceles triangle are leg, leg , base
each leg =2
while the base =4
To find the number you have to divide the ratio by total and multiply into 105
The base
3/7 × 105 = 45
The leg
2/7 × 105 = 30
Therefore, The length of the base = 45 cm
Old price=new price/(1+inflated rate)
=2000/(1+1.08)
=185.19 (approximately)
