Answer:
Step-by-step explanation:
1)y=-6x-14 ---------(i)
-x-3y=-9 ---------- (ii)
Substitution method:
Substitute y value in equ (i)
-x -3*(-6x-14) = -9
-x - 3*-6x -3*(-14)= -9
-x + 18x + 42 = -9
17x = -9 -42
17x = -51
x = -51/17
x = -3
Substitute x value in equation (i)
y = -6*-3 -14
y =18-14
y = 4
The answer is 5
Here are the steps:
First off, we will be using the distance formula of

So we have the ordered pairs of (3,1) and (6,5)
Once you plug them into the formula it should look like this:

Now we do the math inside the parenthesis and end up with:

Then you multiply by the power and simplify to get:

And the

=5
So your answer is
5
Answer:
Option 1,
The triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm
Step-by-step explanation:
Given triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. we have to find the similarity triangle sides from the given option.
As we know, the two triangles are similar if the measures of the corresponding sides of two triangles are proportional.
For the first option: 35 cm, 41 cm, 43 cm

which shows that the sides are proportional.
we have to choose only one option ∴ we needn't have to check the others
Hence, the triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm
For this case we have the following expression:
(x ^ 2 + 2x + 1 / x ^ 2-8x + 16) / (x + 1 / x ^ 2-16)
Rewriting we have:
(((x + 1) (x + 1)) / ((x-4) (x-4))) / (x + 1 / ((x + 4) (x-4)))
Then, we cancel similar terms:
((x + 1) / (x-4)) / (1 / (x + 4))
Rewriting:
((x + 1) (x + 4)) / (x-4)
Answer:
((x + 1) (x + 4)) / (x-4)