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SpyIntel [72]
2 years ago
10

What are the coordinates of vertex ?

Mathematics
1 answer:
Step2247 [10]2 years ago
8 0

Answer:

(0, -8)

Step-by-step explanation:

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What’s the answer to this ? I can’t find it out
olya-2409 [2.1K]

The problem is confusing because the words (and question marks) are not consistently used. Let's do this:

... (cooler price) + (tax on the cooler) = (total bill)

The <em>cooler price</em> is 100% of the cooler price.

The <em>tax on the cooler</em> is 6% of the cooler price.

The total bill is the total of these:

... (100% × (cooler price)) + (6% × (cooler price)) = (total bill)

Using the distributive property, we can factor out (cooler price) to get ...

... (100% + 6%) × (cooler price) = (total bill)

Adding the numbers together, we have

... (106%) × (cooler price) = (total bill)

_____

There are two question marks in the addition problem, and each gets a different number. I can't tell from the portion of the picture here what the expected answer is. (I suspect it may be 106%.) I can tell you ...

... 100% of cooler price

... + 6% of cooler price (tax)

... = 106% of cooler price (total bill, $7.95)

== == == == == == == ==

In problems involving retail sales, the term "cost" is usually used to mean the amount the retailer paid his supplier for the item. Here, that term seems to be used interchangeably with the term "price" to refer to the sticker price on the item in the store.

3 0
2 years ago
Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol
koban [17]

Answer:

\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}

Step-by-step explanation:

\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228

=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}

\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}

4 0
2 years ago
What is the lateral surface area on a square pyramid with base edges of 10 and the height of 12
8_murik_8 [283]

Answer:

joe mama

Step-by-step explanation:

7 0
3 years ago
Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k
tresset_1 [31]

Answer:

a) Similar

b) Perimeter of rectangle 2 is k times the Perimeter of rectangle 1 (Proved Below)

c) Area of rectangle 2 is k^2 times the Area of rectangle 1 (Proved Below)

Step-by-step explanation:

Given:

Rectangle 1 has length = x

Rectangle 1 has width = y

Rectangle 2 has length = kx

Rectangle 2 has width = ky

(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?

Rectangle 1 and Rectangle 2 are similar because the angles of both rectangles are 90° and the sides of Rectangle 2 is k times the sides of Rectangle 1. So sides of both rectangles is equal to the ratio k.

(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.

Perimeter of Rectangle = 2*(Length + Width)

Perimeter of Rectangle 1 = 2*(x+y) = 2x+2y

Perimeter of Rectangle 2 = 2*(kx+ky) = 2kx + 2ky

                                          = k(2x+2y)

                                          = k(Perimeter of Rectangle 1)

Hence proved that Perimeter of rectangle 2 is k times the perimeter of rectangle 1.

(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.

Area of Rectangle = Length * width

Area of Rectangle 1 = x * y

Area of Rectangle 2 = kx*ky

                                  = k^2 (xy)

                                  = k^2 (Area of rectangle 1)

Hence proved that area of rectangle 2 is k^2 times the area of rectangle 1.

4 0
3 years ago
What power of 10 makes the number 3 equal 3,000
Ymorist [56]

Answer:

The third

Step-by-step explanation:

10,100,1000

1 zero

2 zeros

3 zeros

7 0
3 years ago
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