what is the gradient of line Y =-3×+5​

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)

Answer:

Well this needs more of a discription. I would say that 25 inch is the hypotenuse and the lenght is 24 inches. 7 inches is the width

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:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{l}[/tex] ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = [tex]\frac{12}{cos70}[/tex] ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

Answer:

7

Step-by-step explanation:

There are 14 birds sitting on the wall

One half of the birds are black

Therefore the number of black birds can be calculated as follows

= 14×1/2

= 14×0.5

= 7

Hence 7 birds are black

Answer:

0.125

Step-by-step explanation:

Becuase math

Answer:

camino 5 kilometros

Step-by-step explanation:

2-3+5

Answer:

129.6

Step-by-step explanation:

Answer:

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

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:

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:

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

13,212

Step-by-step explanation:

12000+1200+12

This is such a mind bending question

Goodluck

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:

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:

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:

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

Answer:

81.25%

Step-by-step explanation:

100 (65/80)

Answer:

4.) 7.03

5) 2.31

6.) five tenths

7) nine hundredths

8. 7

9.) three tenths

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]

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:

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:

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:

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:

Step-by-step explanation:

here is the answer for your question

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