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3 years ago

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. FYI it’s not b

Mathematics

1 answer:

sleet_krkn [62]3 years ago

8 0

Answer:

Step-by-step explanation:

From the last row in the matrix z = 1.

From the second row:

y + 5z = -4

y = -4 -5(1) = -9.

From the first row:

x + -1 = -3

x = - 3 + 1

x = -2.

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Mathematics please help...

galben [10]

Answer:

the answer is B

Step-by-step explanation:

area of the minor arc is teter all over 360 times 2 pie r square.

that is

$\frac{?}{360} \times 2\pi {r}^{2}$

= but because the question said for length AB, youvhave to use only one radius.

$\frac{160}{360} \times 2 \times \pi \times 9$

You the use 40 to cancel 160 and 360 to get 4 all over 9 times 2 pie times 9.

$\frac{4}{9} \times 2 \times \pi \times 9$

You then cancel 9 with 9 to get 4 times 2 times pie

$4 \times 2 \times \pi$

this is equal to

$8\pi$

3 0

3 years ago

A ball dropped from the top of a building can be modeled by the function f(t)=-16^2+36, where t represents time in seconds

Viefleur [7K]

Answer:

The ball is dropped from a height of 36 feet

The bee and the ball will collide after approximately 1.3 seconds

The bee and the ball will collide at approximately 8 feet above the ground

The ball hits the ground after 1.5 seconds

Step-by-step explanation:

The complete question is

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

The graph represents the situation.

select all that apply

1) The bee launches into flight from the ground.

2) The ball is dropped from a height of 36 feet.

3) The bee and the ball will collide after approximately 1.3 seconds.

4) The bee and the ball will collide after approximately 8 seconds.

5) The bee and the ball will collide at approximately 8 feet above the ground.

6) The bee and the ball will not collide.

7) The ball hits the ground after 1.5 seconds

see the attached figure to better understand the problem

Verify all the options

case 1) The bee launches into flight from the ground.

The statement is false

Because

we have

$g(t)=3t+4$

For t=0

$g(t)=3(0)+4=4\ ft$

That means ----> The bee launches into flight from a height 4 feet above the ground

case 2) The ball is dropped from a height of 36 feet

The statement is true

Because

For t=0

$f(t)=-16(0)^2+36=36\ ft$

case 3) The bee and the ball will collide after approximately 1.3 seconds

The statement is true

Because

Equate f(t) and g(t)

$-16t^2+36=3t+4$

$-16t^2-3t+32=0$

solve the quadratic equation by graphing

The solution is t=1.324 sec

see the attached figure N 2

case 4) The bee and the ball will collide after approximately 8 seconds

The statement is false

Because, the bee and the ball will collide after approximately 1.3 seconds (see case 3)

case 5) The bee and the ball will collide at approximately 8 feet above the ground

The statement is true

Because

For t=1.324 sec

substitute the value of t in f(t) or g(t)

$g(t)=3(1.324)+4=7.97\ ft$

case 6) The bee and the ball will not collide

The statement is false

see case 3) and case 5)

case 7) The ball hits the ground after 1.5 seconds

The statement is true

Because

we know that

The ball hit the ground when the value of f(t) is equal to zero

For f(t)=0

$-16t^2+36=0$

$t^2=\frac{36}{16}$

$t=\frac{6}{4}=1.5\ sec$

4 0

3 years ago

Read 2 more answers

Solve for m: (-11/6) + m = -2/9 M=

ss7ja [257]

Step-by-step explanation:

(-11/6) + m = -2/9

m = -2/9 + 11/6

the last common multiple of 9 and 6 is 18.

so, we are bringing both fractions to .../18.

m = -2×2/18 + 11×3/18 = -4/18 + 33/18 = 29/18

8 0

2 years ago

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

sertanlavr [38]

y = ( 48 *2 ) / 6

Step-by-step explanation:

If y varies directly as x they are directly proportional, which means they relate to each other in the same way....

2 : y = 6: 48

what is y if x = 2?

The value of y can be found if you write it a two fracrions

2 : y = 6 : 48

2 / y = 6 / 48

cross multiply the fractions gives

6*y = 48 *2

divide left and right of the = sign by 6 gives the answer:

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

Other method:

multiply left and right of the = sign by y

2 * y/y = y *6 / 48

6y / 48 = 2 * 1

multiply left and right of the = sign by 48

6y * 48/48 = ( 48 *2 )

6y = ( 48 *2 )

divide left and right of the = sign by 6

6/6* y = ( 48 *2 )/6

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

4 0

3 years ago

The function f(x) is shown in the graph.

anzhelika [568]

The function that describes the graph is an exponential function

<h3>How to determine the function type?</h3>

From the graph, we have the following highlights:

Initially, when x increases; y seem not to increase
Then, x and y increase at the same time
Finally, y increase and x seem not to increase

The above is the description of an exponential function

Hence, the function that describes the graph is an exponential function

Read more about exponential function at:

brainly.com/question/11464095

#SPJ1

3 0

2 years ago