<span>3(x+4)^2-24=0
</span>
<span>3(x+4)^2 = 24
</span>
<span>(x+4)^2 = 24/3
</span>
<span>(x+4)^2 = 8
</span><span>
</span><span>(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4
</span>
Addition, I would use the principles of addition.
Answer:
length : 8 m
width : 13/2 = 6.5 m
Step-by-step explanation:
area of rectangle = l(ength)×w(idth) = 52
l = 2w - 5
=> (2w - 5)×w = 52
=> 2w² -5w - 52 = 0
we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4
=> (2w - 13)×(w + 4) = 0
=> 2 solutions for w :
2w-13 = 0
2w = 13, w = 13/2
w+4 = 0, w = -4
negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2
=> l = 2w - 5 = 13 - 5 = 8
Answer:
C 39 km
Step-by-step explanation:
Just do 3.25 (3 and 1/4) times 12 and get 39.
Answer:
Total Cost for Pretzels and juice is $9.
Step-by-step explanation:
Given:
Number of Bags of pretzels =3
Cost for each bag = $2.00
Total Cost of Pretzels is equal to product of Number of Bags of pretzels and Cost for each bag.
Framing in equation form we get;
Total Cost of Pretzels = 
Also Given:
Number of Bottle of Juice = 2
Price of each bottle = $1.5
Total Cost of Juice is equal to product of Number of Bottle of Juice and Price of each bottle.
Framing in equation form we get;
Total Cost of Juice = 
Total Cost of Pretzels and juice is equal to sum of Total Cost of Pretzels and Total Cost of Juice.
Total Cost of Pretzels and juice = Total Cost of Pretzels + Total Cost of Juice
Total Cost of Pretzels and juice = $6 + $3 =$9
Hence Total Cost for Pretzels and juice is $9.