Answer:
D
Step-by-step explanation:
For the median GC, the distance from the vertex to the centroid G is twice as long as the distance from the centroid to the midpoint, that is
GC = 2 GD = 2 × 7 = 14 → D
First of all, they need to triple their profits. So 87 x 3 = 241.
When you read the question, it says at least. In inequality terms, that means greater than equal to. You’d do this:
x is the amount of money they raise this year.
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
Answer:
9/4
Step-by-step explanation:
see image
2/3 is 2 × 1/3.
We can separate the exponent into 1/3 power raised to the 2nd power. 1/3 power is the same as cube root.
27 and 8 are both perfect cubes. 3^3 and 2^3.
Thats how you go from 27/8 to 3/2.
Then square it.
see image.
For the denominator of 12, Your fractions will now look like:
8/12 ( Simplify if needed) as well as
9/12 (Simplify if needed)
You want to find the multiple that will give you 12 upon the bottom of the fraction and divide your numerator by that number as well. For the first one, it’s 3, and for the second one, it’s 6