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mestny [16]
3 years ago
7

Which of these is the algebraic expression for "6 less than 5 times some number?" 6n − 5 5n − 6 5 − 6n 6 − 5n

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
5 0
6 less than (-6) 5 times some number (5 times n)

-6+5n or 5n-6

2nd one
NISA [10]3 years ago
4 0

"B"

Step-by-step explanation:

6 less than (-6) 5 times some number (5 times n)

-6+5n or 5n-6

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Please someone help meeeee
saveliy_v [14]
<MSR = 180-136 (virtue of complementary angles) = 44°
8 0
3 years ago
What is the length of the missing leg?
Crank

Answer:

a=\sqrt{609}\\\\a\approx 24.67793

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

a^2+b^2=c^2

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

a^2+b^2=c^2\\

Substitute,

a^2+40^2=47^2\\

Simplify,

a^2+1600=2209\\

Inverse operations,

a^2=609

a=\sqrt{609}\\\\a\approx 24.67793

8 0
3 years ago
Read 2 more answers
Find the distance between this pair of points (-3,5) and (5. - 1)
padilas [110]

Answer:

14.

Step-by-step explanation:

6 down, 8 right

7 0
3 years ago
Read 2 more answers
An n × n matrix B has characteristic polynomial p(λ) = −λ(λ − 3) 3 (λ − 2) 2 (λ + 1). Which of the following statements is false
asambeis [7]

Answer:

Only d) is false.

Step-by-step explanation:

Let p=p(\lambda)=\lambda(\lambda-3)^3 (\lambda-2)^2 (\lambda+1) be the characteristic polynomial of B.

a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)

b) Remember that p(\lambda)=\det(B-\lambda I). 0 is a root of p, so we have that p(0)=\det(B-0 I)=\det B=0.

c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.

d) det(B)=0 by part c) so B is not invertible.

e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.      

8 0
3 years ago
Please help!! Geometry, will mark brainliest!
melisa1 [442]

Answer:

n = 36

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , that is

AB = DC , substitute values

\frac{2}{3} n - 5 = \frac{1}{3} n + 7 ( multiply through by 3 to clear the fractions )

2n - 15 = n + 21 ( subtract n from both sides )

n - 15 = 21 ( add 15 to both sides )

n = 36

8 0
3 years ago
Read 2 more answers
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