Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
Answer:
Step-by-step explanation5:
Answer:
Your teacher is correct.
Step-by-step explanation:
So first we would have to find what A is equivalent to which is 48. This is because 180 - 132 = 48. Since we know that 132 is a supplementary angle, there has to be another supplementary angle that results in the sum of 180.
With this information in mind, we can create the expression:
2x + 4x + 48 = 180 (A triangle is equal to 180 degrees)
Now simply the equation:
6x + 48 = 180
6x = 132
6x/6 = 132/6
x = 22
Angle C = 44
Angle B = 88
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer:
Speed of boat in still water is 26km/hr
Step-by-step explanation:
Let the speed of boat in still water be x and speed of stream by y.
Speed at which it went upstream would be (x-y) and the speed at which it went downstream would be (x+y). According to question x+y=24 and x-y=28. x=26 and y=-2.
