Step-by-step explanation:
the area is
length × width
increasing the length by 30% means multiplying the original length by 1.3.
increasing the width by 10% means multiplying the original width by 1.1.
so, the new area is (by using the old length and width)
length × 1.3 × width × 1.1 = length × width × 1.3×1.1 =
= old area × 1.3 × 1.1 = old area × 1.43
so, the area increases by 43%.
Answer:
5. B
6. D
7. C
8. B
9. B
10. D
Step-by-step explanation:
I would write it but I have homework too
Step-by-step explanation:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
Given:
The system of equations is


To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for
is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for
is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).