Answer:
3(x + 1)(x + 2)
Step-by-step explanation:
Given
3x² + 9x + 6 ← factor out 3 from each term
= 3(x² + 3x + 2) ← factor the quadratic
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are + 1 and + 2, since
2 × 1 = 2 and 2 + 1 = 3, thus
x² + 3x + 2 = (x + 1)(x + 2) and
3x² + 9x + 6 = 3(x + 1)(x + 2)
9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
Based on the CPCTC theorem, the congruences that are true about the given triangles are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
<h3>What is the CPCTC Theorem?</h3>
According to the CPCTC theorem states that if two triangles are congruent to each other, then, all their corresponding parts will be congruent to each other.
Given that triangles JKL and RST are congruent to each other, therefore:
∠J ≅ ∠R
∠K ≅ ∠S
∠L ≅ ∠T
JK ≅ RS
KL ≅ ST
JL ≅ RT
Therefore, the congruences that would be true by CPCTC are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
Learn more about the CPCTC theorem on:
brainly.com/question/14706064
#SPJ1
Answer:
Step-by-step explanation:
p=x(1-15/100)
p=x(100-15)/100
p=x(85/100)
p=0.85x
The third one (I think) because she gets 20$ every week
