EQUATION OF A CIRCLE: (x-h)² + (y-k)² =r²
= (x+1)² + (y-4)² =3
Answer:
4
Step-by-step explanation:
The correct option is 4.
Put 4 in the missing term because 4 is a perfect square and it satisfies the given expression:
4x2 + 40x + 100
Now multiply the 1st term coefficient with 100
4 *100 = 400
Now find two numbers whose product is 400 and whose sum is 40
20*20 = 400
20+20 = 40
Therefore 4 is the correct missing coefficient because it satisfies the expression:
Thus the correct option is 4....
Answer:
<u>Algebraically</u>
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
<u>Graphically</u>
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
Answer:
The most expensive item you can get is $23.44
Step-by-step explanation:
Because we are adding 8% in tax and 20% in tip, we know that overall we are spending 128% of the total dinner. So, we can divide the $30 we have to spend by 128% in order to find the original price of the item (don't forget to turn the percentage into a decimal first).
$30/1.28 = $23.44
Answer:
1 and 2
Step-by-step explanation:
When you look at both of those points on a graph the line is linear and vertical; undefined