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3 years ago

Could y’all help me out with this?

Mathematics

1 answer:

Aneli [31]3 years ago

4 0

Answer:

M' (5,-1)

D' (5,1)

A' (3,4)

W' (4,-1)

Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

Reflection over y = x rule : ( x , y ) ---> ( y , x )

Explanation of rule: Simply swap the places of the x and y values.

Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

D(1,5) ----> swap x and y values -----> D'(5,1)

A(4,3) -----> swap x and y values -----> A'(3,4)

W(-1,4) -----> swap x and y values -----> W'(4,-1)

So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image

You might be interested in

Can you guys help me with this math questions

dimulka [17.4K]

Answer:

2) $40 per shirt

3) 80/9 m = 8.9 m (nearest tenth)

Step-by-step explanation:

The first question has been answered here: brainly.com/question/27846862

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Question 2

Given information:

Previous sales = 300 shirts at $20 each
For every $1 increase in price, the number of sales diminishes by 5

Let $x$ = number of $1 increases

Let $y$ = total revenue (in dollars)

From the given information:

Price change of shirt: $(20 + x)$

Number of sales change: $(300 - 5x)$

Therefore, we can create a quadratic equation with the given information:

$\implies y = (20+x)(300-5x)$

As we need to find the maximum amount of revenue, we need to find the vertex of $y$ . As the equation is already factored, the quickest way to do this is to the find the mid-point of the zeros (since a quadratic curve is symmetrical).

$\begin{aligned}y & =0\\\implies (20+x)(300-5x) & =0\\\implies (20+x) & =0 \implies x=-20\\\implies (300-5x) & = 0 \implies x=60\end{aligned}$

$\textsf{Midpoint}=\dfrac{-20+60}{2}=20$

Therefore, Sammy should have 20 $1 increases to maximize the revenue, so the new price will be:

$\implies \$20 + 20 \times \$1 = \$40\: \sf per\:shirt$

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Question 3

Given information:

Bridge is modeled as a parabola
Width of bridge = 30 m
Max height of bridge = 10 m high (in the middle)

As the bridge is modeled as a parabola, and we have been given the width and height, we can create a quadratic equation using the vertex form.

Vertex form: $y=a(x-h)^2+k$

where:

x is the horizontal distance of the bridge
y is the height of the bridge
(h, k) is the vertex
a is some constant

Middle of the bridge = 30 m ÷ 2 = 15 m

Max height of the bridge = 10 m

Therefore, the vertex of the parabola is (15, 10)

$\implies y=a(x-15)^2+10$

We know that when $x = 0, y = 0$ . Therefore, substitute these values into the equation and solve for a:

$\implies 0=a(0-15)^2+10$

$\implies 0=225a+10$

$\implies 225a=-10$

$\implies a=-\dfrac{10}{225}$

$\implies a=-\dfrac{2}{45}$

Therefore, the equation of the parabola is:

$\implies y=-\dfrac{2}{45}(x-15)^2+10 \quad \quad \textsf{for }0\leq x\leq 30$

The horizontal distance at 5 m right of the middle is:

$\implies \dfrac{30}{2}+5=20\:\sf m$

Therefore, to find the height at this point, input $x=20$ into the equation and solve for y:

$\implies -\dfrac{2}{45}(20-15)^2+10=\dfrac{80}{9}\:\sf m$

Therefore, the height of the bridge at 5 m to the right of the middle is:

$\dfrac{80}{9}\:=8.9\: \sf m\:(nearest\:tenth)$

3 0

2 years ago

Need help on this row thank you very much !

serg [7]

Answer:

3. x=90

6. X= 180-120

X=60

Step-by-step explanation:

hope this helps

5 0

3 years ago

Read 2 more answers

Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a

Diano4ka-milaya [45]

Answer:

a) The standard error would be of 8.58 pounds.

b) The margin of error is 14.11 pounds.

c) The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

Step-by-step explanation:

a.What is the standard error?

The standard error is

$s = \frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. So

$s = \frac{47}{\sqrt{30}} = 8.58$

The standard error would be of 8.58 pounds.

b.What is the margin of error at 90% confidence?

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*s = 1.645*8.58 = 14.11$

The margin of error is 14.11 pounds.

c. Using my sample of 30, what would be the 90% confidence interval for the population mean?

Lower bound: Sample mean subtracted by the margin of error.

247 - 14.11 = 232.89 pounds

Upper bound

247 + 14.11 = 261.11 pounds

The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

4 0

3 years ago

The sign of the product of -350 and 89 is

nadezda [96]

Answer:

Negative

Step-by-step explanation:

Multiplication rules for integers

Positive integer x Positive integer= Positive integer

Negative integer x Positive integer= Negative Integer

Negative integer x Negative integer=Positive Integer

8 0

4 years ago

Mark scored an 89 on his first

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

89+85+95+83= 352,

352/4 = 88

6 0

3 years ago

Read 2 more answers