Answer:
(3v-7)(2v^2+5)
Step-by-step explanation:
To factor 6v^3-14v^2+15v-35 by grouping we are going to try pair to up the pair two terms and also the last two terms. Like this:
(6v^3-14v^2)+(15v-35)
Now from each we factor what we can:
2v^2(3v-7)+5(3v-7)
Now there are two terms: 2v^2(3v-7) and 5(3v-7).
These terms contain a common factor and it is (3v-7).
We are going to factor (3v-7) out like so:
2v^2(3v-7)+5(3v-7)
(3v-7)(2v^2+5)
Answer:
49
Step-by-step explanation:
1. Calculate the constant of proportionality
Q = k/p²
k = Qp² Multiplied each side by p²
= 36 × 7²
= 36 × 49
= 1764
2. Calculate the new value of Q
Q = 1764/p²
= 1764/36
Q = 49
The Pythagorean Theorem applies to all right angle triangles. Therefore if you substitute the numbers, it should work out.
Pythagorean Theorem: a^2+b^2=c^2
Does 8^2+15^2=17^2?
8 squared plus 15 squared is 289. 17 squared is 289. Therefore #1 is a right triangle.
5^2+8^2=11^2
89 doesn’t equal 121 so #2 is not a right angle triangle
