Answer:
x = -6
x = 2
Step-by-step explanation:
x² + 4 - 12 = 0
= (x + 6)(x - 2)
x + 6 = 0
x = -6
x - 2 = 0
x = 2
Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:

We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:

To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:

Multiply both sides by 3:

The left side simplifies. Multiply on the right:

Now, multiply both sides by 1/2:

Simplify the left. Multiply on the right:

So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!
Answer: $106,300
<u>Step-by-step explanation:</u>
A = P(1 + r)
- A is the accrued amount (balance)
- P is the principal (initial amount)
- r is the rate --> convert to a decimal
Given: P = 96,812 r = 9.8% --> 0.098
A = 96,812(1 + 0.098)
= 96,812(1.098)
= 106,299.576
rounded to the nearest dollar is $106,300
For #6 draw a triangle between the points and find the middle by drawing the lines to the middle. There should be triangles within the triangles which finding the hypotenuses should be the same.
Answer:
2 feet 9 inches
Step-by-step explanation:
Radius = Diameter/2