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3 years ago

Write the equation of the line that has a slope of -2 and goes through the point (4, -3)

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

7 0

Answer:

y = - 2x + 5

Step-by-step explanation:

m , ( $x_{1}$ , $y_{1}$ )

y - $y_{1}$ = m( x - $x_{1}$ )

~~~~~~~~~~~

m = - 2 and ( 4 , - 3 )

y - ( - 3 ) = - 2( x - 4 )

y + 3 = - 2x + 8

y = - 2x + 5

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There is an error in the diagram. Choose the statement that best describes what is wrong.

marishachu [46]

Answer:

the first one is right and other are wrong

4 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Can somebody help me ?? please .

solniwko [45]

Answer: First let’s find x.

A straight line adds up to 180 degrees. So wen know that X and the 81 degree angle should add up to 180, so x+81=180 is our equation. Let’s solve.

Subtract 81 from 180

You get x=99 degrees.

Let’s now find Y.

We know because of the alternate interior angles property that x will have to equal 3y-9. We already know x is 99. Let’s set up an equation. 3y-9=99 let’s add our 9. We get 108. Divide by 3. We get y=36.

Step-by-step explanation:

PLEASE ASK ANY FURTHER QUESTIONS IF YOU STILL DONT UNDERSTAND :)

6 0

3 years ago

Read 2 more answers

Write as a money amount and as a decimal in terms of dollars 33/100

Mekhanik [1.2K]

Answer:

$0.33 or 33¢

Step-by-step explanation:

33/100 = 0.33 = $0.33

5 0