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3 years ago

Help me out plzz and I'll do the same

Mathematics

1 answer:

elixir [45]3 years ago

6 0

I think it's -2 to -1 is the right answer maybe

but i hope it helps u !!

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What are the dimensions of a rectangular wall that can be constructed with 400 feet of brick that will maximize the area enclose

ollegr [7]

Answer:

The dimensions of the wall are 100 ft x 100 ft

Step-by-step explanation:

we know that

The perimeter of a rectangular wall is

$P=2(x+y)$

where

x is the length

y is the width

we have

$P=400\ ft$

$400=2(x+y)$

simplify

$200=x+y$

$y=200-x$ ----> equation A

The area of a rectangular wall is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(200-x)\\A=-x^2+200x$

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

Convert the quadratic equation in vertex form

$A=-x^2+200x$

Factor -1

$A=-(x^2-200x)$

Complete the square

$A=-(x^2-200x+100^2)+100^2$

$A=-(x^2-200x+10,000)+10,000$

Rewrite as perfect squares

$A=-(x-100)^2+10,000$ ----> equation in vertex form

The vertex is the point (100,10,000)

The x-coordinate of the vertex represent the length of the wall for a maximum area

$x=100\ ft$

Find the value of y

equation A

$y=200-(100)=100\ ft$

therefore

The dimensions of the wall are 100 ft x 100 ft

4 0

3 years ago

WILL MARK YOU BRAINIEST

lesya692 [45]

Answer:

11 5/9

Step-by-step explanation:

4 0

3 years ago

True or false please help thank you

Leni [432]

Answer:

True.

See below for explanation.

Step-by-step explanation:

Reason 1

When we solve the equation by combining both equations in one, the variable will become 0.

Proof

$\begin{cases} y = 4x - 3 \\ y = 4x - 5 \end{cases} \\ 4x - 3 = 4x - 5$

Combine like terms.

$4x - 4x = - 5 + 3 \\ 0 = - 2$

See that the equation is false no matter which numbers you substitute in x-term.

Reason 2

Both graphs are parallel and don't have any intercepts to each others.

See the attachment below for graphs.

Since both graphs do not really have intercepts, that means they do not provide any solutions. Hence, no solutions.

5 0

3 years ago

Which of the following is true about the median of a trapezoid?

fredd [130]

According to the definition of the median of the trapezoid: B. The length of the median is half the sum of the lengths of the bases.

<h3>What is the Median of a Trapezoid?</h3>

The median of a trapezoid is the line segment that connects the two legs of a trapezoid and is parallel to each of the base of the trapezoid. Also, the length equals half of the sum of the two base lengths of the trapezoid.

Thus, based on the definition of the median of a trapezoid, the true statement is: B. The length of the median is half the sum of the lengths of the bases.

Learn more about the median of a trapezoid on:

brainly.com/question/1451734

#SPJ1

6 0

2 years ago

the radius of the Earth is 6378.1 KM which is 2981 .1 km longer than the radius of Mars write and solve the equation to determin

Bad White [126]

$6,378.1 - 2,981.1

= 6,000 + 300 + 70 + 8 + 1/10 - 2,000 - 900 - 80 - 1 - 1/10

= (6,000 - 2,000) + (300 - 900) + (70 - 80) + (8-1) + (1/10-1/10)

= 4,000 - 600 - 10 + 7 + 0

= 3,400 - 3 

= 3,397$

7 0

4 years ago

Read 2 more answers