Answer:
y = -4x - 31
Step-by-step explanation:
y + 3 = -4(x + 7)
y + 3 = -4x - 28
-3 -3
y = -4x - 31
The second one is the only equivalent equation. Simply plug in each variable in each equation. And compare!
Answer:
The correct answer is last option 3√2 units
Step-by-step explanation:
From the figure we can see that two small right angled triangle.
These two triangle combined to form a large right angled triangle.
<u>To find the value of x</u>
Consider the small triangle with hypotenuse x and one side 3 units.
The angles of this triangle be 45°, 45° and 90°, then the sides are in the ratio 1 : 1 : √2
Therefore we can write,
3 : 3 : x = 1 : 1 : √2
x = 3√2
The correct answer is last option 3√2 units
Step-by-step explanation:
If there were 7 items, the number of ways to choose 7 out of the 7 items is only 1 way, which is to get all of them.
=> 7C7 = 1.
Let <em>h</em> represent the cost of hot dogs and <em>p</em> represent the cost of potato chips.
Customer 1: 4h + 5p = 15.50 ⇒ 3(4h + 5p = 15.50) ⇒ 12h + 15p = 46.50
Customer 2: 3h + 2p = 9.00 ⇒ -4(3h + 2p = 9.00) ⇒ <u> -12h - 8p = -36.00</u>
7p = 10.50
p = 1.50
Customer 2: 3h + 2p = 9.00 → 3h + 2(1.50) = 9.00 → 3h + 3.00 = 9.00 → 3h = 6.00 → h = 2.00
Answer: hot dog = $1.50, potato chips = $2.00
