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Gennadij [26K]
3 years ago
9

Under a dilation centered at the origin, the vertex, (−2, 4), of a polygon is moved to the point (4, −8) . What is the scale fac

tor of the dilation?
Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

-2

Step-by-step explanation:

I took the quiz.

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4x + 8y = 16<br> 4x-8y = 0
balandron [24]

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.

3 0
3 years ago
One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al
Lena [83]

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

  • First Sunday, a=1
  • Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

6 0
3 years ago
A bandana is in the shape of a triangle. The base of the bandana is 30 in. wide, and the height is 12 in. What is the area of th
12345 [234]
A=LW(1/2)
is the standard formula, so plug in for variables
A=(30)(12)(1/2)
You simplify and get
A=180 in
So the complete answer is
-The area of the bandana is 180inches.
8 0
2 years ago
Read 2 more answers
What is 58,000,000,000 estimated as the product of a single digit and a power of 10?
brilliants [131]
The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \  10\ and\ n\in\mathbb{Z}.\\\\5\underbrace{8,000,000,000}_{\leftarrow10}=5.8\cdot10^{10}\approx6\cdot10^{10}\to\fbox{D.}
5 0
3 years ago
Read 2 more answers
Find the number of sides of a regular polygon if the measure interior angle is 160°
MrMuchimi
360/20 is equal to 18 sides
6 0
3 years ago
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