Find the length of the hypotenuse to the nearest tenth. (example 4.5)
7
2


Answer:

First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

1

2

3

−

1

3

−

2

−

9

|

8

−

2

9

⎤

⎥

⎦

[1−1123−13−2−9 | 8−29]

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]

The easiest way to obtain a 1 in row 2 of column 1 is to interchange

\displaystyle {R}_{2}

R 2

and

\displaystyle {R}_{3}

R 3

.

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

InterchangeR2andR3→[1−11801−12−1505−3−18]

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

1

|

8

−

15

1

⎤

⎥

⎦

−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]

The last matrix represents the equivalent system.

x

−

y

+

z

=

8

y

−

12

z

=

−

15

z

=

1

x−y+z=8 y−12z=−15 z=1

Using back-substitution, we obtain the solution as

\displaystyle \left(4,-3,1\right)

(4,−3,1)

13,212

Step-by-step explanation:

12000+1200+12

This is such a mind bending question

Goodluck

Answer:

camino 5 kilometros

Step-by-step explanation:

2-3+5

Answer:

I would say Group A

Step-by-step explanation:

There is more of the latter half than the first half, meaning there is low variability but high consistency in the second half.

Answer:

3.75

Step-by-step explanation:

r²+9²=(6+r) ²

r²+81 = 36+12r + r²

81=36+12r

=> 12r = 45

r = 45/12 = 3.75

Answer:

[tex]125 {n}^{3} {p}^{9} [/tex]

Answer:

height = 16.5 feet

Step-by-step explanation:

Givens

Start by drawing a right angle triangle. The hypotenuse is 36 and the side adjacent to where the ladder meets the ground is the adjacent side. The tallest part of the building is found from the Pythagorean Theorem.

Givens

Hypotenuse = 36

Adjacent = 32

Height = ?

Formula

a^2 + b^2 = c^2

c is the ladder length

a = 32

b = ?

Solution

32^2 + b^2 = 36^2

1024 + b^2 = 1296             Subtract 1024 from both sides

b^2 = 1296-1024

b^2 = 272                           Take the square root of both sides.

sqrt(b^2) = sqrt(272)

b = 16.49

Answer:

0.125

Step-by-step explanation:

Becuase math

Answer:

1/2x

Step-by-step explanation:

y = 2x

To find the inverse, exchange x and y

x = 2y

Solve for y

Divide each side by 2

x/2 = 2y/2

1/2x = y

The inverse is 1/2x

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]

Calculating the percentage:

[tex]\to 0.09\times 100=9\%[/tex]

Step-by-step explanation:

(12^0)(12^6)

1 ×12⁶. (a⁰=1, a is a number)

=12⁶

Answer:

The ratio of the distance of Pluto and the earth to the Sun is 40.

Time taken by light to travel from Sun to Pluto is 5.3 hours.

Step-by-step explanation:

Distance between Earth an Sun = 93,000,000 miles

Time from Sun to Earth = 8 minutes

Distance beteen Pluto and Sun = 3.7 x 10^9 miles

The ratio of the distance between Pluto and Sun to the Earth and Sun is

[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]

Now let the time taken by the light to move from Sun to Pluto is t.

[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]

Answer:

4cm

Step-by-step explanation:

first find the length of one side of the square

let x represent that

making 2x length of the rectangle

area of a rectangle=length x width

2cm²=2x×x

2cm²=2x²

2cm²/2=2x²/2

1cm²=x²

1√cm²=√x²

1cm=x

perimeter of a square=4xside

4x1cm

4cm

Answer:

Additive property of association?

You did not specify what kind of answer you are looking for.

You could just be looking for something like "addition problem" or "polynomials" or anything.

I will edit or comment an answer if this gets editted with a bit more specification. :D

Step-by-step explanation:

Answer:

9 over 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 12 - 45 = 0

solving by middle term break method

x^2 + (15 - 3) - 45 = 0

x^2 + 15x - 3x - 45 = 0

x(x + 15) - 3(x + 15) = 0

(x + 15)(x - 3) = 0

either x + 15 = 0            OR, x - 3 = 0

x + 15 = 0

x = 0 -15

x = -12

x - 3 = 0

x = 0 + 3

x = 3

therefore x = -12,3

i have done solution for the given question in two different methods.

the solution done in note copy is by using quadratic formula.

Answer:

I'm pretty sure that the answer is 55.

Sorry if I'm wrong.

Answer:

Step-by-step explanation:

Given,(3x-2y,7)=(11,x+y)

So,3x-2y=11...............(i)

      7=x+y

   or,x+y=7................(ii)

Now,Multiplying eqn.(ii) by 2,we get,

       2x+2y=14...........(iii)

Adding eqn(i) and eqn(iii),

        3x-2y+2x+2y=11+14

     or,5x=25

     or,x=5

Substituting value of x in eqn(i),

         5+y=7

      or,y=2

Hence,the values of x and y are 5 and 2 respectively.    

Answer:

4.) 7.03

5) 2.31

6.) five tenths

7) nine hundredths

8. 7

9.) three tenths

Answer:

C)  1

F)  29

Step-by-step explanation:

all numbers less than 30 are solutions

Answer:

C. 1

F 29

Step-by-step explanation:

X+ 30 < 60

Subtract 30 from each side

X+ 30-30 < 60-30

x < 30

A. 30  no not less than 30

B. 45 no not less than 30

C. 1 yes  

D. 50 no not less than 30

E 300 no not less than 30

F 29  yes

Answer:

the marks obtained by a girl in percentage is 81. 25%

Answer:

81.25%

Step-by-step explanation:

100 (65/80)

Answer:

10  or in coordinate form(0,10)

Step-by-step explanation:

The y intercept is where the line crosses the y axis

The graph crosses the y axis at 10

(0,10)

Answer:

9 hours

Step-by-step explanation:

126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.

Answer: It will take maybe 9 hours

hope this helps :)

Step-by-step explanation:

Answer:

Answer B - y=[x]+7

Step-by-step explanation:

A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.

7 changes this.

Looking at the graph, we see that the y intercept is now 7.

How can this be? x was added to by 7.

If it was subtracted, it would be -7, not postive 7.

So the answer is y=[x]+7

Hope this helps!

Answer:

A

Step-by-step explanation:

when we accept X to 0, y should be 7 and when we accept X to 2 or 4 or 6, y should be in order to 9, 11 and 13.

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

Answer:

129.6

Step-by-step explanation:

Answer:

32m

Step-by-step explanation:

7+5+5+4+4+1+3+3=32