Answer:
Hello,
Step-by-step explanation:
The 2 numbers are roots of the equation:
U²-14U+74=0
Discriminant=14²-4*74=-100
<u>U=7-5i or U=7+5i</u>
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = 8; (-10; 6) ⇒ a = -10 and b = 6
subtitute
(x - (-10))² + (y - 6)² = 8²
Answer: (x + 10)² + (y - 6)² = 64
Since the tank is 66.06% full, it is (100 - 66.06) = 33.94% empty.
Its capacity is 6,000L. So, in order to fill it to capacity, the service station
must order 33.94% of 6,000L .
33.94% = 0.3394
"of" means "times"
0.3394 x 6,000L = <em>2,036.4 liters</em> needed, to fill the tank to the rim.
ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

The formula to calculate the slope is the following:

The points are (-6, -9/2) and (4,3), replacing:

The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:

The equation is:

Therefore, the true statements are:
• Both functions have the same slope
,
• The linear equation does not have a y-intercept
,
• The table and the grahp express an equivalent function
Answer:
true
Step-by-step explanation: