The sum of the squares of 2 consecutive negative integers is 41. What are the numbers?Which of the following equations is the result of using the factoring method to solve the problem?
(n - 5)(n - 4) = 0
(n - 5)(n + 4) = 0
(n + 5)(n - 4) = 0
(n + 5)(n + 4) = 0
Answers
Answer:
Factors are (n + 5)(n - 4) = 0.
Step-by-step explanation:
Given : The sum of the squares of 2 consecutive negative integers is 41. What are the numbers.
To find : Which of the following equations is the result of using the factoring method to solve the problem.
Solution : We have given statement
Let two consecutive number are : n and n +1 .
Square of two consecutive number are : n² and (n+1)².
According to question : sum of the squares of 2 consecutive negative integers is 41.
n² + (n+1)² = 41.
n² + n² + 1 +2n =41
2n² + 2n +1 =41
On subtracting 41 from both sides
2n² + 2n +1- 41 = 0
2n² + 2n - 40 = 0
On dividing by 2 to whole equation
n² + n - 20 = 0
On factoring
n² + 5n -4n - 20 = 0
Taking common n from first two terms and -4 from first two last terms
n (n +5) -4 (n +5) = 0
Grouping
(n -4) (n +5) = 0.
Therefore, Factors are (n + 5)(n - 4) = 0.
n^2 + (n+1)^2 = 41
n^2 + n^2 + 2n + 1 = 41
2n^2 + 2n -40 = 0
n^2 + n -20 = 0
(n + 5)(n- 4) = 0
Then the answer is the third option.
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Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.
Does anyone know the answer to the question??? 5x+2=7x-4
Always
Sometime
Never
Answers
Answer:
Never.
Step-by-step explanation:
Definition:
In a 30-60-90 triangles:
- The length of a hypotenuse sides is twice the length of the shorter leg
- The length of the Longer side is
times the shorter leg.
As per the statement:
In a 30-60-90 triangle the long leg is half the hypotenuse.
since,
By definition;
length of a hypotenuse sides is twice the length of the shorter leg
⇒
⇒
⇒
Therefore. the given statement "In a 30-60-90 triangle the long leg is half the hypotenuse." is Never.
But I believe the answer is Never
-9(14p - 8) - 4p
Answers
Step-by-step explanation:
-126p + 72 - 4p
-130p + 72
4 ft
3 ft
2 ft
Answers
so we know that "Volume = Length x Width x height"
and they only give us the height and length sooo what do we do?
we know that
4 × 3 × W = 48 ft³
so if we didnt know how to figure this out we could plug in A,B,C,and D to find what equals 48ft ³..... lets try it:)
a = 6
4 x 3 x 6 = 72
so A cant be the answer
b = 4
4 x 3 x 4 = 48
WHAO look we didnt even have to find C and D and we already found the answer:)
so since 4 x 3 x 4 = 48 ft³
THE ANSWER ISSSS
B.) 4 ft
hope this helps
and don't forget to
MARK ME BRAINLIEST! :D
Answer:
4 FT.
Step-by-step explanation:
Answers
I think is twelve cause June may so ya Answer:
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
In a right-angled triangle, the tangent ratio of an acute angle = the ratio of the length of the opposite side to the length of the adjacent side.
Lets say angle A= 150 degrees (obtuse)
- to find its corresponding acute angle, we need to subtract 150 from 180 degrees, that is, 180-150= 30 degrees.
- Considering a right triangle where angle B=30 degrees. now assuming that the opposite side of angle B has a length of 7 while the adjacent side has a length of 25.
So, the tangent ratio of angle B= the ratio of the length of the opposite side to the length of the adjacent side.
So far we have:
- tan B = opposite/adjacent = 7/25
and because angle A is obtuse, its tangent ratio is the negative of the tangent ratio of its corresponding acute angle.
- So, tan A = -tan 30 = -1/√3 or approximately -0.577.
Step-by-step explanation:
first of all
tan(x) = sin(x)/cos(x)
that is the tangent ratio.
so, the question is also, what happens to sine and cosine for obtuse angles.
remember the trigonometric triangle inside the circle.
sine is the up/down leg (up = positive, down = negative), cosine is the left/right leg (and extension of the leg; of left from the center = negative, if right from the center = positive).
so, for an obtuse angle (90° < angle <= 180°) sine is still up and therefore positive, but cosine is left from the center and therefore negative.
for that reason tan(angle) = sin(angle)/cos(angle) is negative.
in fact, it is -tan(180 - angle).
B) 1
C) 0.38
D) 1.38
Answers
Answer:
1.38
Step-by-step explanation: