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Ronch [10]
3 years ago
6

The vertices of a trapezoid are located at (1, 2), (3, 1), (3, 5), (1, 4). The trapezoid is translated 4 units to the right. Wha

t are the coordinates of the image of the trapezoid?
Mathematics
1 answer:
padilas [110]3 years ago
6 0

Answer:

Suppose that we have a given point (x, y)

If we translate this point N units to the right, then the new coordinates of the point are:

(x + N, y)

Ok, now if we know that the vertices of the trapezoid are:

(1, 2), (3, 1), (3, 5), (1, 4)

And we move the whole figure 4 units to the right, then all the vertices are moved 4 units to the right.

Then the new vertices of the figure will be:

(1 + 4, 2) = (5, 2)

(3 + 4, 1) = (7, 1)

(3 + 4, 5) = (7, 5)

(1 + 4, 4) = (5, 4)

Then the coordinates of the image of the trapezoid (of the new vertices) are:

(5, 2),  (7, 1), (7, 5),  (5, 4)

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Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
mojhsa [17]

Answer:

m =7.

Step-by-step explanation:

Let the constant number = k.

g(m) = k/m,

3.5 = k/10,

k = 35.

Thus, when g(m) = 5 = 35/m, m = 7.

6 0
3 years ago
To cover a rectangular region of her yard, Penny needs at least 155 square feet of sod. The length of the
Tasya [4]

<u><em>To cover a rectangular region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?</em></u>

<u><em></em></u>

<u><em>L=length=15.5 ft; W=width; A=area=>170.5 sq ft</em></u>

<u><em></em></u>

<u><em>L*W=>170.5 sq ft Divide each side by L</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>W=>170.5 sq ft/L</em></u>

<u><em></em></u>

<u><em>W=>170.5 sq ft/15.5 ft=>11 feet</em></u>

<u><em></em></u>

ANSWER: To cover at least 170.5 sq ft. the width must be at least 11 feet.

<h2><em><u>Brainly pls</u></em></h2>

5 0
3 years ago
How to solve it step by step <br> -8+4(1+5n)=-6n-14
oksano4ka [1.4K]

Answer:

n = -5/13

Step-by-step explanation:

-8+4(1+5n)=-6n-14  (from PEDMAS, expand parenthesis first)

-8+1(4) +5n(4)=-6n-14

-8+4 +20n=-6n-14

-4 + 20n = -6n -14  (add 6n to both sides)

-4 + 20n + 6n =  -14

-4 + 26n = -14  (add 4 to both sides)

26n = -14 + 4

26n = -10  (divide both sides by 26)

n = -10/26 = -5/13

5 0
3 years ago
The symbol ∪ represents the union of events. The union of two events A and B results in an event that contains all the sample po
Degger [83]

Answer:

AUB = {E1, E2, E4, E6, E7}

Step-by-step explanation:

Since we are to look for the union of the two sets, therefore we combine all the sample points that are contained in A and B without repeating any sample even if such sample occur in both sets. For example, E4 occurs in event A and B and as such will only be repeated once in the union of the two events.

AUB = {E1, E2, E4, E6, E7}

Note that the way you arrange does not matter as well.

I hope you find this solution useful?

8 0
4 years ago
Solve for x. Show your work. -12x &lt; -12
Eva8 [605]

Step-by-step explanation:

-12x < -12

-12x/-12= x

-12/-12= 1

x < 1

3 0
3 years ago
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