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olga nikolaevna [1]
3 years ago
11

A triangle has vertices at (2, 3), (-2, 2), and (-5,3). What are the coordinates of the vertices of the image

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

(6,0) (2,-1) (-1,0)

Step-by-step explanation:

just take the coordinates and add 4 and subtract 3 from them.

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What is the probability of rolling a sum of 5 with two dice?
GarryVolchara [31]

Answer:

1/9

Step-by-step explanation:

probability equals number of desired outcomes over total possible outcomes

Total possible outcomes = 36

possible sums of 5:

2,3   1,4  3,2.  4,1

4/36= 1/9

3 0
2 years ago
What number is greater than 32.46 and less than 32.56 then find the difference of your two numbers
torisob [31]

Answer:

Observe that

  • 32.50 is greater than 32.46 because 32.50-32.46=0.04 > 0.  And 32.50 is less than 32.56 because 32.56-32.50=0.06>0
  • 32.51 is greater than 32.46 because 32.51-32.46=0.05 > 0.  And 32.51 is less than 32.56 because 32.56-32.51=0.05>0

And the difference between 32.51 and 32.50 is 32.51-32.50=0.01

7 0
3 years ago
There are 70 historical fiction books in the school library. Historical fiction books make up 1/10 of the library's collection.
Gre4nikov [31]

Answer:

There are 700 books in Library Collections.

Step-by-step explanation:

Given:

Number of historical books = 70

The equation used to find the totals number of books in library collection.

\frac{1}{10}b = 70

where b⇒ Total number of books in library collections.

We need to find the Total number of books in library collections.

Solution:

\frac{1}{10}b = 70

Now by solving the above equation we get;

First we will multiply both side by 10 we get;

\frac{1}{10}b \times 10= 70\times 10\\\\b =700

Hence there are 700 books in Library Collections.

6 0
4 years ago
Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
Round 3308.89 to the nearest australian dollar
const2013 [10]
Round 3308.89 to the nearest Australian dollar - $4336 AUD .
3 0
3 years ago
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