I got that x equals -3.809523 (repeating)
Answer:
A. 6
Step-by-step explanation:
f(x) = x² − 12x + 7
To complete the square, we first factor the leading coefficient to make it 1 (which it already is).
Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.
f(x) + 36 = x² − 12x + 36 + 7
Then we factor the perfect square:
f(x) + 36 = (x − 6)² + 7
Then solve for f(x) by subtracting and simplifying:
f(x) = (x − 6)² + 7 − 36
f(x) = (x − 6)² − 29
So the value of a is 6.
a. 1^5 = 1 × 1 × 1 × 1 × 1 = 1
b. 2 × 2 × 2 × 2 × 2 = 2^5 = 32
c. 20^3 = 20 × 20 × 20 = 8.000
d. 7 × 7 × 7 × 7 = 7^4 = 2.401
Answer:
B. ∆LMN ≅ ∆OPQ because of ASA
Step-by-step explanation:
Two triangles are congruent if two angles and an included side of one triangle are congruent to two corresponding angles and a corresponding included side of the other.
From the information given, we have:
Two angles (<L and <M) in ∆LMN that are congruent to two corresponding angles (<O and <P) in ∆OPQ.
Also, included side in both triangles are congruent (ML ≅ PO).
Therefore, ∆LMN ≅ ∆OPQ by the ASA Theorem.
If angle 10 and 15 are congruent ( the same) that would mean lines a and b would need to be parallel with each other because that have the same angles.
The answer ic C.
