So remember that GCFs are greatest common factors, or the greatest number and/or variable that divides 2 or more terms nicely (aka no decimals).
With this, you at least know that a factor of these two numbers is 7, which turns this expression to 7(4 + 10). However, what's inside the parentheses can still be factored out with a GCF of 2. So you can further factor the expression as 2 * 7(2 + 5), which can be simplified to 14(2 + 5), or D. Since 2 and 5 do not have GCFs greater than 1, that is your answer.
Answer:
10,300.77 cm³
Step-by-step explanation:
Radius = ½(diameter)
Diagonal:
sqrt[243 + 243]
sqrt(486)
Diameter
sqrt(486 + 243)
27
Radius: 27/2
Volume of sphere:
4/3 × pi × r³
4/3 × 3.14 × (27/2)³
10300.77 cm³
The triangles are NOT similar.
If they were the ratios of the sides would be the same.
3 / 4 = .75
5 / 6 = .8333333333
6 / 8 = .75
Answer:
5 hours
Step-by-step explanation:
75 + 55x = 350
75 - 75 + 55x = 350 - 75
55x = 275
x = 5
<h3>
Answer:</h3>
f(x) = -(x -2)² +3
<h3>
Step-by-step explanation:</h3>
We can fill in the vertex (h, k) values immediately in the vertex form ...
... f(x) = a(x -h)² +k
To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:
... -1 = a(0 -2)² +3
... -4 = 4a . . . . . . . . . subtract 3, simplify
... -1 = a . . . . . . . . . . . divide by 4
Now, we know the function is ...
... f(x) = -(x -2)² +3
