Answer:
Step-by-step explanation:
In vertex form, the equation is
y = a(x-h)^2 + k
So just read off the values!
Hello from MrBillDoesMath!
Answer:
The protein/calories ratios are equivalent
Discussion:
For the first column
Protein/calories = 24/96 = 1/4
For the second column
Protein/calories = 28/112 = 1/4
So the protein/calories ratios are equivalent
Thank you,
MrB
Answer:
A) 24 ft³
Step-by-step explanation:
The area of the right triangle base is ...
A = (1/2)(3)(4) = 6 ft²
The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).
V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A
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<em>Comment on the triangle</em>
You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:
5² = 3² +4²
25 = 9 + 16 . . . . . true; so the triangle is a right triangle
In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.
Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.
A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle
A school is in session for 6 hours each day. Each class is allotted 3/4 hour, including passing time. How many classes can be fit into the school day?
<span>6 / (3/4) = </span>
<span>6 * (4/3) = 24/3 = 8 classes</span>
Answer:
Step-by-step explanation:
We want to rewrite the following as a single logarithm:
We introduce logarithm in the first term to get:
Recall that:
We apply this property to get:
This gives:
