Answer:
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Step-by-step explanation:
Let
Length = x
Width = y
Original rectangle:
2(Length + width) = 60
2x + 2y = 60
New rectangle has same length with original rectangle but half of the width of the original rectangle when folded
Length = x
Width = 1/2y
2(Length + 1/2width) = 49
2x + y = 49
2x + 2y = 60 (1)
2x + y = 49 (2)
Subtract (2) from (1) to eliminate x
2y - y = 60 - 49
y = 11
Substitute y = 11 into (2)
2x + y = 49
2x + 11 = 49
2x = 49 - 11
2x = 38
x = 38/2
x = 19
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Answer: -rad7, +rad7
Explanation:
- Divide the equation by 6 (x^2-7=0)
- Add 7 (x^2=7)
- Square root x to find solutions (x=rad7)
- Dont forget the radical means that there are two solutions!
Answer:
y = -1/2x -3
Step-by-step explanation:
The line perpendicular to one with a slope of 2 will have a slope that is the negative reciprocal of 2, that is, -1/2. The given point is the y-intercept of the required line, so we can write its equation directly in slope-intercept form:
y = mx + b
where m is the slope (-1/2), and b is the y-intercept (-3). Your line is ...
y = -1/2x -3
F(x)=-2x^3-5
f(-2)=2(-2)^3-5
f(-2) = 2(-8)-5
f(-2)= -16-5
f(-2)=-21
(-2,-21)
g(x)=-3x+2
g(7)=-3(7)+2
g(7)=-21+2
g(7)=-19
(7,-19)
If you’re asking what percentage was taken off, it would be 31.5%. (70*.45=31.5)
