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3 years ago

Suppose we have a triangle with vertices located at A(-6,-3), B(2,5), and C(8,-3). Where is the

Mathematics

1 answer:

olganol [36]3 years ago

8 0

9514 1404 393

Answer:

C'(4, -6)

Step-by-step explanation:

Translation right by h and up by k is described by ...

(x, y) ⇒ (x +h, y +k)

Here, you have 4 left and 3 down, so (h, k) = (-4, -3) and the transformation is ...

(x, y) ⇒ (x -4, y -3)

C(8, -3) ⇒ C'(8 -4, -3 -3) = C'(4, -6)

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What is the perimeter of the figure in the diagram (round to three decimal places if necessary)?

Y_Kistochka [10]

Perimeter (p) = length around a shape.
So any horizontal sides we can add based upon their length in x-values and any vertical sides we can add based upon their length in y-values. The diagonal sides we can find by the distance formula:
$d = \sqrt{( {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$
So the bottom base goes from x=1 to x=8, then up 1, right 1, and up from y=3 to y=9, then left from x=9 to x=6, down from y=9 to y=6, left from x=6 to x=3.
So far that is: (8-1)+1+1+(9-3)+(9-6)+(9-6)+(6-3)
= 7+2+6+3+3+3 = 24
Now for the diagonal:
$d = \sqrt{( {(x2 - x1)}^{2} + {(y2 - y1)}^{2}) } \\ = \sqrt{( {(3- 1)}^{2} + {(6 - 2)}^{2} )} \\ = \sqrt{( {2}^{2} + {4}^{2} )} = \sqrt{(4 + 16)} \\ = \sqrt{20} = 2 \sqrt{5} = 4.47$
P = 24 + 4.47 = 28.47
D) 28.472

4 0

3 years ago

Read 2 more answers

Whats 7x10 to the -8 power + 2 x 10 to the -8 power

andre [41]

9x10 to the -8th power.

Since the numbers are both x10^-8, you can simply add 2 and 7. If you would rather look at it as:
0.00000007 + 0.00000002 = 0.00000009 = 10x10^-8
then you will get the same answer.

7 0

3 years ago

Please help!!

professor190 [17]

Answer:

1/8 chances you get one color of jellybean.

Step-by-step explanation:

I just took the quiz hope this helps:)

3 0

4 years ago

Please help me !!!!!!

cestrela7 [59]

Given:

The set of pair and graphs.

To find:

The domain and range.

Solution:

We know that,

Domain is the set of x-values or input values.

Range is the set of y-values or output values.

(a)

The given set of ordered pairs is

{(-3,3),(5,5),(-3,2),(5,3)}

Here, the x-coordinates are -3, 5, -3, 5.

A set contains distinct values.

Therefore, the domain is {-3,5}.

(b)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,1),(-1,0.5),(-1,3),(0,0),(0,2),(1,0.5),(1,3)(2,1)}

Here, the y-values are 1, 0.5, 3, 0, 2, 0.5, 3, 1.

Therefore, the range is {0, 0.5, 1, 2, 3}.

(c)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,3),(-1,3),(0,1),(2,4)}

Here, the x-values are -2, -1,0, 2.

Therefore, the domain is {-2,-1,0,2}.

4 0

3 years ago

Add the polynomials (−5x2+8x)+(2x2−3x+7) -3x^2+5x+7 7x^2+8x+11 -7x^2+11x+7

____ [38]

( - 5 x² + 8 x ) + ( 2 x² - 3 x + 7)
= - 5 x² + 8 x + 2 x² - 3 x + 7
= - 3 x² + 5 x + 7

4 0

3 years ago