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dlinn [17]
3 years ago
10

The vertices of a triangle are A(8,-24) b(8,-8) and c(16,-8). If the triangle was dilated by a scale factor of 1/4, what would t

he coordinates of A’ be?
Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer: A' (2,-6)

Step-by-step explanation:

1. The problem gives you the coordinates of the vertex A, which is:

A(8,-24)

2. Then, to solve the problem and obtain the coordinates of of the vertex A', you must multiply the coordinates of the vertex A by the given scale factor 1/4, as you can see below:

8*1/4=8/4=2

-24*1/4=-24/4=-6

3. Therefore, the coordinates of of the vertex A' would be:

A'(2,-6)

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number from 1 to 99 is written on a card making a pack of 99 cards. What is the probability of randomly selecting a card where t
andriy [413]

Answer:

(19/99) = 0.192

Step-by-step explanation:

Numbers 1 to 99, that is 99 numbers (obtained through the equation for the nth term of an AP)

L = a + (n-1) d

L = nth term = 99

a = first term = 1

n = number of terms = ?

d = common difference = 1

99 = 1 + (n-1)1

n = 99

Sample space = 99

The numbers that include at least, a 1 are

1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 31, 41, 51, 61, 71, 81, 91

19 numbers.

Probability of randomly selecting a card where the number contains at least one digit 1 from 1 to 99 = (19/99) = 0.192

Hope this Helps!!!

3 0
4 years ago
2 numbers that subtract to 1496
Sveta_85 [38]

Answer:

1521 and 25

Step-by-step explanation:

<em>First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:</em>

<em>A2 - B2 = 1496</em>

<em>We solved the equation above and found this to be true:</em>

<em>39^2 - 5^2 = 1496</em>

<em>392 is 1521 and 52 is 25, therefore the answer to the question "What 2 square numbers subtract to make 1496?" is 1521 and 25 as illustrated below:</em>

<em>1521 - 25 = 1496</em>

<em />

<em>so your answer is 1521 -25 = 1496</em>

<em />

<em>hope this helps</em>

<em />

5 0
3 years ago
Given f(x) = -5x – 4, solve for x when f(x) = 1.
Studentka2010 [4]
Sub f(x)=1 into equation
1=-5x-4
5=-5x
x=-1
6 0
3 years ago
Read 2 more answers
Please help<br><br> Find the inverse function.<br> 8x – 4y = 24
Tom [10]
Answer:

Simplifying
8x + -4y = 24

Solving
8x + -4y = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
8x + -4y + 4y = 24 + 4y

Combine like terms: -4y + 4y = 0
8x + 0 = 24 + 4y
8x = 24 + 4y

Divide each side by '8'.
x = 3 + 0.5y

Simplifying
x = 3 + 0.5y

God bless you and have a beautiful rest of your day!
4 0
3 years ago
Write the fraction with the greatest value 5/6 7/12 7/10
Nina [5.8K]

Answer:

5/6

Step-by-step explanation:

Convert the fraction to decimal and find the one nearest to the whole number 1.

5/6 = 0.833

7/12 = 0.583333

7/10 = 0.7

As you can see from the bold numbers, 5/6 is the greatest value.

4 0
3 years ago
Read 2 more answers
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