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3 years ago

Give the new coordinates. Square WXYZ with vertices W(1,7), X(6,5),

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

Given:

The vertices of square WXYZ are W(1,7), X(6,5), Y(4,0), and Z(-1, 2).

Consider the rule of transformation is $(x, y)\to (x-7, y-6)$ .

To find:

The new coordinates.

Solution:

We have,

$(x, y)\to (x-7, y-6)$

Using the above rule of transformation, we get

$W(1, 7)\to W'(1-7, 7-6)=W'(-6,1)$

$X(6, 5)\to X'(6-7, 5-6)=X'(-1,-1)$

$Y(4, 0)\to Y'(4-7, 0-6)=Y'(-3,-6)$

$Z(-1, 2)\to Z'(-1-7, 2-6)=Z'(-8,-4)$

Therefore, the new vertices are W'(-6,1), X'(-1,-1), Y'(-3,-6) and Z'(-8,-4).

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Whatis the answer to the problem

Stels [109]

Answer:

slope = $-\frac{1}{8}$

Step-by-step explanation:

Use the slope formula given in the question to solve for the slope. The $m$ is the variable representing the slope. The $x_1$ and $y_1$ values are x and y values of one point. The $x_2$ and $y_2$ are x and y values of another point.

So, use the x and y values of the points given and substitute them in the correct order into the formula:

$m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}$

Thus, the slope is $-\frac{1}{8}$ .

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3 years ago

Why do you need fewer inches than centimeters to measure the length of the key

kirill [66]

Inches and centimeters are different units of measurement, one English, one metric. Converting from one to the other requires use of a conversion factor.
One such factor can be derived from 1 inch = 2.54 cm. This means that one inch is 2.54 times longer than one cm.

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3 years ago

Consider the following system of equations:

ivolga24 [154]

The answer is x=-15 and y=25

8 0

3 years ago

Kareem and Marco went to the mall. Kareem spent $8 less than Marco spent at the mall. Kareem spent more than $15. Write an inequ

mestny [16]

Marco spent more than $23. M > 23

We know the Kareem spent 8 less than Marco and that Kareem spent more than 15. If we add 8 onto the 15, we know that Marco has to be more than 23.

To graph this, draw an open circle at 23 and have an arrow going to the right.

4 0

3 years ago

There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).

hjlf

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

4 0

3 years ago

Give the new coordinates￼. Square WXYZ with vertices W(1,7), X(6,5),

Give the new coordinates. Square WXYZ with vertices W(1,7), X(6,5),