Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)
weird.
The length is 32 and the width is 1. 32÷2 is 16. 16-15 is 1. 32+32+1+1 is 66
Answer:
46 and 277
Step-by-step explanation:
Given
f(x) = 
- 8x - 11 ← substitute x = 3, x = - 4 into f(x)
f(3) = 
- 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46
f(- 4) = 
- 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277
Answer:
Step-by-step explanation:
The given equation is written in the form of y=mx+c (where m is the gradient and c is the y-intercept).
Thus, gradient of given equation= -⅔
The products of the gradient of perpendicular lines is -1.
(Gradient of line)(-⅔)= -1
Gradient of line
Hence, m= 
.
Subst. m= into the equation:
To find the value of c, substitute a pair of coordinates into the equation:
When x= -4, y= 2,
Thus, the equation of the line is .
Answer:
E. Deep venous thrombosis
Step-by-step explanation:
According to a different source, these are the options that come with this question:
A. Depression
B. Smoking history
C. Severe nausea on combined oral contraceptives
D. Lactation history
E. Deep venous thrombosis
This woman would be a good candidate for the progestin-only pill because of her deep venous thrombosis, as contraindications to estrogen include a history of thromboembolic disease. Other contraindications include women who are lactating, women over 35 who smoke or women that have experienced severe nausea when using combined pills.
