Answer:
$2.44/gal
Explanation:
$58.56/24gallon/
Answer: ![-6(2x+1)(x-1)](https://tex.z-dn.net/?f=-6%282x%2B1%29%28x-1%29)
Step-by-step explanation:
Given the expression in the form
, we know that Victoria can simplify it by adding the like terms:
![-12x^2+6x+6](https://tex.z-dn.net/?f=-12x%5E2%2B6x%2B6)
She can also factor out -6:
![-6(2x^2-x-1)](https://tex.z-dn.net/?f=-6%282x%5E2-x-1%29)
Now, she needs to factor the coefficient of the second term rewrite it as (1-2), then:
![-6(2x^2+(1-2)x-1)](https://tex.z-dn.net/?f=-6%282x%5E2%2B%281-2%29x-1%29)
Now she needs to group the terms as following:
And factor out 2x:
Finally, she has to factor out
. Therefore, she gets:
Answer:
Step-by-step explanation:
1. DE = DF (Def of midpoint)
2. EB = EB (Reflexive)
3. <DEB is congruent to <FEB
3. EB is a transversal- alternate interior angles are congruent
4. SAS
4. SAS theorem states that two triangles are equal if two sides and the angle between those two sides are equal.
Answer:
452.16 units^2
Step-by-step explanation:
Given
Radius = r= 6 units
The formula for finding the surface area of a sphere is:
![A = 4\pi r^2\\A= 4 * 3.14 * (6)^2\\A=12.56*36\\A = 452.16](https://tex.z-dn.net/?f=A%20%3D%204%5Cpi%20r%5E2%5C%5CA%3D%204%20%2A%203.14%20%2A%20%286%29%5E2%5C%5CA%3D12.56%2A36%5C%5CA%20%3D%20452.16)
In the formula, π is taken as 3.14.
So, the surface area of the given sphere is 452.16 units^2 ..
1 yard = 3 feet
Therefore Rachel ran 155*3 feet = 465 feet
465 > 327 therefore she is correct