Answer:
a = -5/3
Step-by-step explanation:
3/a × -4 = 20
3a × -4/-4 = 20/-4
3a = -5
a = -5/3
Check:
3/(-5/3) × - 4 = 20
-5 × - 4 = 20
The two rational numbers between
and
is
,![- \frac{36}{48}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B36%7D%7B48%7D%20)
<h3>How to find the rational numbers between -3/4 and -2/3?</h3>
In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).
given that -3/4 and -2/3
now take L.C.M between these two rational numbers is 12.
now multiply -3/4 with 3 both numerator and denominator
![- \frac{3}{4} \times \frac{3}{3} = - \frac{ 9}{12}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B3%7D%20%20%3D%20%20%20-%20%5Cfrac%7B%209%7D%7B12%7D%20)
again multiply -9/12 with 4 both numerator and denominator
![- \frac{9}{12} \times \frac{4}{4} = - \frac{36}{48}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B9%7D%7B12%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B36%7D%7B48%7D%20)
now multiply -2/3 with 4 both numerator and denominator
![- \frac{2}{3} \times \frac{4}{4} = - \frac{8}{12}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B8%7D%7B12%7D%20)
again multiply -8/12 with 4 both numerator and denominator
![- \frac{8}{12} \times \frac{4}{4} = - \frac{32}{48}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B8%7D%7B12%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B32%7D%7B48%7D%20)
Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3
Learn more about rational numbers, refer:
brainly.com/question/12088221
#SPJ9
Answer:
14, 96,84
Step-by-step explanation:
8n - 16 + 6n = 180 {Supplementary angles}
<u>8n + 6n</u> -16 = 180
Combine like terms
14n - 16 = 180
Add 16 to both sides
14n = 180 + 16
14n = 196
Divide both sides by 14
n = 196/14
n = 14
8n - 16 = 8*14 - 16 = 112 - 16 = 96
6n = 6 *14 = 84
perimeter should be 43 and the area should be 72m^2
this is squared btw
★ Oblique Asymptote ★
![f(x) = \frac{x {}^{2} + 5x + 6}{x - 4} \\ f(x) = (x - 4)(x + 9) + 42 \\](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20%20%2B%205x%20%2B%206%7D%7Bx%20-%204%7D%20%5C%5C%20f%28x%29%20%3D%20%28x%20-%204%29%28x%20%2B%209%29%20%2B%2042%20%5C%5C%20)
Hence , oblique Asymptote is obtained simultaneously by the Quotient of the function obtained ,
HENCE , oblique Asymptote is