A system of equation is consistent if there is at least one solution. Since this system of equations has a single solution, it is consistent, the answer is true.
Answer:
a =
b = 12
c =
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths .
A 30-60-90 right triangle has side lengths .
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length . Therefore, .
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to . This means was multiplied by . This means that side c is .
Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!
:) Brainliest pls?
Answer:
f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72
Step-by-step explanation:
If f(x) = 7x+9 ang g(x) = -5x^2 - 2x - 8, then
f(x) * g(x) will be:
(7x+9)(-5x^2 - 2x -8)
f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72