Answer:
x^2 -10x - 15 = 0
(don't know how far you want me to go)
Step-by-step explanation:
(x - 5)^2 = 40
(expand the brackets)
(x - 5)(x - 5) = 40
x^2 -5x -5x + 25 = 40
x^2 -10x + 25 = 40
x^2 -10x - 15 = 0
Answer:
Yes
Step-by-step explanation:
Given a number, a
Square of number = a²
Square root of number = √a² = a
Assume a = 4
The square of 4 = 4² = 16
The square root of 16 = √16 = 4
Hence, Grogg is correct
Complete question is;
In the triangles attached , DF is congruent to MN,DG is congruent to MP, angle D is congruent to angle P. Can you prove that triangle DFG is congruent to MNP.
Answer:
Proved below
Step-by-step explanation:
From the attached triangles, we can see that;
∠D corresponds to ∠M
∠F corresponds to ∠N
∠G corresponds to ∠P
But we are told that ∠D is congruent to ∠P. Thus, since we have 2 other congruent sides in the triangles, we can conclude that Side-Angle-Side Postulate (SAS) congruency theorem that triangle DFG is congruent to MNP.
Answer: 2a sqrt 15a
Explanation:
Sqrt 60a^3
= sqrt 4 x 15 x a^2 x a
= 2a sqrt 15a (because 4 and a^2 are a perfect square so we can drag it out of the square root)
See attachment for math work and answer.