1 is 117 because 18x6.5 is 117
Answer:
<em>Option B, Option D</em>
Step-by-step explanation:
If we are to take a look at these points, we would see that they share a common y point on the y - axis ⇒ -5;
This would mean that a horizontal line runs through the following points ( 4, -5 ) and ( 6, - 5 ), and provided it is a horizontal line, it has no slope, or in other words a slope of 0;
<em>Solution; Option B, Option D</em>
<span>Given, y^2 - 14y = -44
Add 44 to both sides of the equation
</span>y^2 - 14y + 44 = -44 + 44<span>
</span>y^2 - 14y + 44 = 0
Using the quadratic formula x = [-b ± √(b² - 4ac)]/2a
Where,
a = 1
b = -14
c = 44
x = [-b ± √(b² - 4ac)]/2a
x = [-(-14) ± √(-14² - 4(1)(44)]/2(1)
x = [14 ± √(196 - 176)]/2
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 4.472)/2 OR (14 - 4.472)/2
x = 18.472/2 OR 9.528/2
x = 9.236 OR 4.764
The solution set is {9.236, 4.764}
TO EXPRESS THE ANSWER IN RADICALS
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 2√5)/2 OR (14 - 2√5)/2
<span>x = 7+√5 OR 7-√5
</span>
The solution set is {7+√5, 7-√5}
<u>Answer:</u>
The correct answer option is 
.
<u>Step-by-step explanation:</u>
We are given the following expression and we are to evaluate it when 
and 
:
![[\frac{3^2a^{-2}}{3a^{-1}} ]^k](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%5E2a%5E%7B-2%7D%7D%7B3a%5E%7B-1%7D%7D%20%5D%5Ek)
Substituting the given values of 
and 
to get:
![[\frac{3^2(5)^{-2}}{3(5)^{-1}} ]^{-2}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%5E2%285%29%5E%7B-2%7D%7D%7B3%285%29%5E%7B-1%7D%7D%20%5D%5E%7B-2%7D)
