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3 years ago

Simplify √250x^16 / √2x

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

( square root of 250x^16)/( square root of 2x)

√250x16√2x

Combine

√250x16

and

√2x

into a single radical.

√250x162x

Reduce the expression

250x162x

by cancelling the common factors.

√125x16x

Reduce the expression by cancelling the common factors.

√125x15

Rewrite 125x15 as (5x7)2⋅(5x).

√(5x7)2⋅(5x)

Pull terms out from under the radical.

5x7√5x

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NO LINKS!!! QRSTU ~ FGCDE. Find FG, CD, and EF.

arsen [322]

Answer:

See below ~

Step-by-step explanation:

Given :

QRSTU ~ FGCDE

Finding the scale factor :

Take two corresponding sides in proportion
RS : GC
40 : 12
10 : 3

Applying the scale factor to find the missing sides :

- FG :

QR : FG = 10 : 3
30/FG = 10/3
FG = 30/10 x 3
FG = 3 x 3
FG = 9

- CD :

ST : CD = 10 : 3
40/CD = 10/3
CD = 40/10 x 3
CD = 4 x 3
CD = 12

- EF :

UQ : EF = 10 : 3
30/EF = 10/3
EF = 30/10 x 3
EF = 3 x 3
EF = 9

4 0

1 year ago

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If 1=3 2=3 3=5 4=4 5=4 Then, 6=?

anzhelika [568]

It’s 6=6 I think I hope it’s help have a nice day

8 0

2 years ago

The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the gar

alexgriva [62]

Answer: Length = 11

Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

5 0

2 years ago

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.

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2 years ago

F(x)=−2x+16 g(x)=4x+10 please give me the intersection points

vagabundo [1.1K]

Answer:

(1, 14)

Step-by-step explanation:

The intersection is when both functions have same coordinates

f(x) = g(x)

Substitute to get

- 2x + 16 = 4x + 10
4x + 2x = 16 - 10
6x = 6
x = 1

The y- coordinate is

y = - 2(1) + 16 = -2 + 16 = 14

So the intersection point is (1, 14)

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2 years ago

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