Answer:
Step-by-step explanation:
we know that
If the three points are collinear
then
we have
A (1, 2/3), B (x, -4/5), and C (-1/2, 4)
The formula to calculate the slope between two points is equal to
step 1
Find the slope AB
we have
substitute in the formula
step 2
Find the slope AC
we have
substitute in the formula
step 3
Equate the slopes
solve for x
simplify
First integer = x
Second integer = x + 2
Third integer = x + 4
Since four times the first integer equals six more than the product of two and the third integer.
4x = 6 + 2(x + 4)
4x = 6 + 2x + 8
2x = 14
x = 7.
Hence,
First integer = x = 7
Second integer = x + 2 = 7 + 2 = 9
Third integer = x + 4 = 7 + 4 = 11.
hope this helps
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
_____
<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
Answer:
Before cutting the square, Miguel would need to paint 12 ft². After cutting the square out, Miguel would need to paint 8 ft²
Step-by-step explanation:
Length x Width = Area
4×3=12
2×2=4
12-4=8
Answer:
m+J=G
Step-by-step explanation:
All you need to do is get G by itself by adding J to both sides. Now the equation will read m+J=G and you just solved for G.
