Answer:
(-3,-3) and at (0,6)
Step-by-step explanation:
The solution to the system of equations is where the graphs intersect
The graphs intersect at (-3,-3) and at (0,6)
Answer:
36 units²
Step-by-step explanation:
rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
we use the inverse formula
12 * 3 =<em> </em>
<em>36 units²</em>
<em>-----------------------</em>
check
36 : 12 = 3
the answer is good
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:
the answer is a and d ! hope it help
Step-by-step explanation:
Answer:
x= 12
Step-by-step explanation
3x+8=44
subtract 8 from both sides: 3x+8= 44
-8 -8
3x=36
then divide by 3 on both sides
3x=36
3 3
which leaves : x=12
my explaining is horrible but i hope this helps
