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2 years ago

Three vertices of a rectangle are located at points (−3, 4), (5, −6), and (5, 4). Where is the fourth vertex located?

Mathematics

1 answer:

Natasha2012 [34]2 years ago

7 0

Answer:

(-3, -6)

Step-by-step explanation:

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We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $10/f t, the

Brut [27]

Answer:

Dimensions are 350/9 ft and 17.5 ft

Step-by-step explanation:

We are given the cost per ft of all the 4 sides. Let the horizontal be x and the vertical be y.

Now, we will set up the constraint and equation that we are being asked to maximize.

Thus;

700 = 10y + 10y + 7x + 2x

700 = 20y + 9x

Maiking y the subject, we have;

y = (700 - 9x)/20

y = 35 - 9x/20

Now,area of a rectangle is: A = xy

Thus, A = x(35 - 9x/20))

A = 35x - 9x²/20

We can get the critical points by finding the derivatives and Equating to zero

Thus;

dA/dx = 35 - 0.9x

At dA/dx = 0,we have; x = 350/9

At d²A/dx², we have;

d²A/dx² = -0.9

This is negative, thus we will disregard and use the one gotten from the first derivative.

Thus, we will use x = 350/9 ft

Plugging this into the equation y = 35 - 9x/20, we have;

y = 35 - ((9 × 350/9)/20)

y = 17.5 ft

7 0

3 years ago

Cual es la raiz cuadrada de 202

bezimeni [28]

Answer:

14.2126704036

Step-by-step explanation:

8 0

2 years ago

A company manufactures cell phones. In August, a random sample of 125 cell phones was inspected, and 3 phones were found to be d

german

Answer:

192

Step-by-step explanation:

To find how many phones are expected to be defective, we need to represent the values in a fraction.

$\dfrac{x}{8000}=\dfrac{3}{125}$

x = number of defective phones

Now we can solve this using algebra.

To get the value of x we need to multiply both sides by 8000 to leave x alone.

$x=\dfrac{3}{125}(8000)$

$x=0.024(8000)$

$x=192$

So around 192 cell phones are expected to be defective out of 8000 phones.

6 0

3 years ago

PLEASE HELP!!!!!<br> Combine the like terms to create an equivalent expression. 8k+5k

horsena [70]

Answer:

13k

Step-by-step explanation:

Given: $8k+5k$

Finding the equivalent expression.

We know the rule of addition is that adding two positive integers will give positive result or sum.

Now, lets find the equivalent expression of $8k+5k$ .

∴ $8k+5k= 13k$

Hence, the required equivalent expression is 13k.

3 0

2 years ago

How do you do this and what would the answer be.

Natali [406]

If you add the same number together it is impossible for it to be a negative number

3 0

3 years ago

Read 2 more answers