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Olegator [25]
3 years ago
11

A triangle with vertices (−2, 3), (5, 4), and (−1,−1) is translated using the rule (x, y)→(x−3, y+4). What are the coordinates o

f the image?
Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

(-6,7) (2,8) (-4,3)

Step-by-step explanation:

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HELPPPP!!!<br> Select the correct answer.<br> Which function is an even function?
jonny [76]

Answer:

C.

Step-by-step explanation:

p(x)=sin(x) is an odd function since sin(-x)=-sin(x).

q(x)=cos(x) is an even function since cos(-x)=cos(x).

r(x)=tan(x) is an odd function since tan(-x)=-tan(x).

s(x)=csc(x) is an odd function since csc(-x)=-csc(x).

So the only contender seems to be C.

Let's check.  To check we have to plug in (-x) in place of (x) and see if we get the same function back since we are looking for an even function.

f(x)=\cos(\frac{5\pi}{4}x)

Replace (x) with (-x):

f(-x)=\cos(\frac{5\pi}{4}(-x)

f(-x)=\cos(\frac{-5\pi}{4}x)

f(x)=\cos(\frac{5\pi}{4}x) since cosine is even; that is cos(-u)=cos(u) where u in this case is \frac{5\pi}{4}x.

So f is even.

7 0
3 years ago
Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x, and the width is
Kipish [7]

We are given

length of rectangular yard is x

so, L=x

width of rectangular yard is

so, W=2x^2-98x+5

We are given

the length of the enclosed yard is 50 feet

so, we get

L=x=50

now, we can plug x=50 and then we can find width

W=2(50)^2-98(50)+5

W=105

now, we can find total fencing length

so, total fencing length is

=2L+2W

now, we can plug values

=2\times 50+2\times 105

=310feet

now, we are given

the cost of fencing is $13 per foot

so,

total cost = (cost of fencing)*(total fencing length)

we can plug values

C=13\times 310

C=4030

So, Janice will spend $4030.........Answer

6 0
3 years ago
Use the equation: y = 5x - 4 Write an equation in any form) of a line that passes through the point (-1,7) and is parallel to th
Tju [1.3M]

Answer:

y = 5x + 12

Step-by-step explanation:

Use the formula: y - y1 = m(x - x1)

Plug in all numbers into your equation: y - 7 = 5(x - -1)

Minus with a minus becomes a positive: y - 7 = 5(x + 1)

Distribute:                    y - 7 = 5x + 5

Add 7 to both sides:      +7          +7

Answer: y = 5x + 12

7 0
3 years ago
Is -7, -5, -2, 2, 7 arithmetic or geometric
kipiarov [429]

Answer: arithmetic

Step-by-step explanation:

arithmetic is if it is added or subtracted by a common number while geometric is multiplied or divided by a common number.

5 0
3 years ago
Out of 5,400 raffle tickets sold at the carnival, 180 are winners. At this same rate, how many winning raffles tickets can be ex
Triss [41]
Out of 5,400 raffle tickets sold at the carnival, 180 are winners. At this same rate, how many winning raffles tickets can be expected if 8,100 raffle tickets are sold? 247
5 0
3 years ago
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