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olga55 [171]
3 years ago
11

What is the answer to a triangle translation where A is (1,4), B is (2,-2) and C is (-3,2) What is the Answer to A

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Question:

A translation is applied to the triangle where A(1, 4) , B(2, -2) , and C(-3, 2). The image is the triangle that has vertices ​ A′(5, 4) ​, ​ B′(6, -2) ​​, and C′(1, 2)​.

Answer:

(x,y) ==> (x + 4,y)

Step-by-step explanation:

Given

A = (1,4)\\B = (2,-2)\\C = (-3,2)

A' = (5,4)\\B' = (6,-2)\\C' = (1,2)

From the translation of triangle ABC to A'B'C',

It will be observed that the y coordinates of both triangle remain unchanged.

This implies that triangle ABC is translated on the x coordinates alone.

Considering the x coordinates of A and A', we have:

1 + k = 5

Make k the subject

k = 5 - 1

k = 4

When 4 is added to the x coordinates of B and C, it gives the x coordinates of B' and C'.

Hence, the rule of translation is:

(x,y) ==> (x + 4,y)

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7n-(4n-3) combining like terms with negative coefficient and distribution
sladkih [1.3K]

\huge\text{Hey there!}

\huge\textbf{Equation/Question:}

\mathbf{7n - (4n - 3)}

\huge\textbf{Convert equation/question to:}

\mathbf{= 7n - 1(4n - 3)}

\huge\textbf{Solving the equation/question:}

\mathbf{= 7n - 1(4n) - 1(-3)}

\mathbf{= 7n - 4n + 3}

\huge\textbf{Combine the like terms:}

\mathbf{= (7n - 4n) + 3}

\mathbf{= 7n - 4n + 3}

\mathbf{= 3n + 3}

\huge\textbf{Therefore, your answer should be:}

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6 0
2 years ago
Given triangle ABC with vertices A(16,0), B(9,2), and C(2,0).
Margaret [11]
Given:

Triangle Point coordinates or vertices:
A(16,0)
B(9,2)
C(2,0)

Required:

Side with slope -2/7

Solution:

To know which side has the slope required, we need to calculate the slope of each paired point by the two-point slope formula:

m = (y2-y1)/(x2-x1)

We first try points A and B.

m1 = (2-0)/(9-16)

m1 = -2/7

Thus, the side with the slope -2/7 is side AB.
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Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
I don’t understand how to identify quadratic transformations. Can I have so help please?
Levart [38]

Answer:

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