Answer:
-2
Step-by-step explanation:
-(4e+7)=1
-4e-7=1
-4e=1+7
-4e=8 divided both side by -4
e=-2
Answer:
<h2>33.2Km</h2>
Step-by-step explanation:
<h3>Time used for journey = </h3>
13 : 24 - 11 : 32 = 1 : 92
1 : 92 = 1 hour 92 minutes
1 hour 92 minutes = 2 hours 32 minutes
<h3>changing 32 minutes to hours</h3>
1 h = 60 min
x = 32 min
x= 32 /60
x= 8/15 hours
<h3>Adding the 2hours to 8/15 hours</h3>
8/15 h + 2 h = 38 / 15
<h3>Using formula for distance</h3>
Distance = Speed × Time
Distance = 85km / h × 38 /15 h
Distance = 33.15 km
To 1DP = 33.2
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
Answer:
- $5.60 sales tax
- $75.60 total cost
Step-by-step explanation:
You have correctly found the sales tax to be ...
$70.00 × 0.08 = $5.60 . . . sales tax
The total cost of the item is the selling price with the tax added:
$70.00 +5.60 = $75.60 . . . total cost
