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san4es73 [151]
2 years ago
13

Find the area of a triangle with vertices (1, 5), (1, -2), (3,-2).

Mathematics
1 answer:
ollegr [7]2 years ago
3 0

Answer:

Step-by-step explanation:

A(3, - 2), B(1, 5), C(1, - 2)

ΔABC is right angled Δ

AC and BC are legs (cathetus)

A_{ABC} = (AC)(BC) ÷ 2 = \frac{2*7}{2} = 7 units²

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Three stamps can be attached to each other in various ways.how many ways might three stamps be attached?
ivanzaharov [21]
Let's call the stamps A, B, and C. They can each be used only once. I assume all 3 must be used in each possible arrangement.
There are two ways to solve this. We can list each possible arrangement of stamps, or we can plug in the numbers to a formula. 
Let's find all possible arrangements first. We can easily start spouting out possible arrangements of the 3 stamps, but to make sure we find them all, let's go in alphabetical order. First, let's look at the arrangements that start with A:
ABC
ACB
There are no other ways to arrange 3 stamps with the first stamp being A. Let's look at the ways to arrange them starting with B:
BAC
BCA
Try finding the arrangements that start with C:
C_ _
C_ _
Or we can try a little formula; y×(y-1)×(y-2)×(y-3)...until the (y-x) = 1 where y=the number of items.
In this case there are 3 stamps, so y=3, and the formula looks like this: 3×(3-1)×(3-2).
Confused? Let me explain why it works.
There are 3 possibilities for the first stamp: A, B, or C. 
There are 2 possibilities for the second space: The two stamps that are not in the first space.
There is 1 possibility for the third space: the stamp not used in the first or second space. 
So the number of possibilities, in this case, is 3×2×1.
We can see that the number of ways that 3 stamps can be attached is the same regardless of method used.


8 0
3 years ago
Find the equation of the line. Use exact numbers <br> y= ?x+ ?
lina2011 [118]

Answer:

y=3x+3

Step-by-step explanation:

slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3

8 0
3 years ago
Read 2 more answers
9× 3 1/2=<br> Which choice is the most reasonable answer?
icang [17]

Answer:

31.5 or 63/2

Step-by-step explanation:

to do this, first you need to transform the <u>mixed number</u> <em>(3 1/2)</em> into an <u>improper fraction</u>, to get 7/2.

then you just multiply 9 by 7/2

9/1 (7/2)

63/2 = 31.5

<em>both of the answers in bold are correct</em>

8 0
3 years ago
4) If the area of a square is 48cm²,<br> What is the length of each side?<br> Simplify your answer.
Talja [164]

Answer:

4 sqrt(3) cm

Step-by-step explanation:

The area of a square is

A = s^2  where s is the side length

48 = s^2

Take the square root of each side

sqrt(48) = sqrt(s)

sqrt(16*3) = s

4 sqrt(3) =s

5 0
3 years ago
Read 2 more answers
Solve for x<br> -4(-5x+2)-3x-5=-30
valentina_108 [34]

Answer:

x=-1

Step-by-step explanation:

-4(-5x+2)-3x-5=-30

open the bracket

+20x-8-3x-5=-30

collect like terms

20x-3x-8-5=-30

17x=-30+13

17x= - 17

divide both sides by 17

x= -1

5 0
3 years ago
Read 2 more answers
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