Answer:
y = -x + 2
Step-by-step explanation:
Use the point-slope formula y - k = m(x -h):
y - [-1] = -1(x - 3), or
y + 1 = -x + 3, or
y = -x + 2
Area of the board divided by the time
2 x 3 = 6ft^2
15/6= 2.5mins
Answer:
x=-9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-(-6))/(-9-(-9))
m=(-8+6)/(-9+9)
m=-2/0
undefined
x=-9
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:
Sara is 12
Step-by-step explanation:
12÷3=4 4+8=12
