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german
4 years ago
7

Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-3,2),

B'(0,8), C'(2,2) are congruent.
A) (x, y) → (x - 1, y + 2)
B) (x, y) → (x + 2 , y + 1)
C) (x, y) → (x - 2, y + 1)
D) the triangles are not congruent
Mathematics
2 answers:
maxonik [38]4 years ago
8 0

Answer:

The answer is B.

Explanation:

(x, y) → (x + 2, y + 1) is correct.

Every <u>point</u> of a figure is moved the same <u>distance</u> in the same direction to form the new figure. <u>Translation</u> does not change the size or shape, angles or <u>line</u> lengths of a figure.

Please rate Brainliest (:

alexira [117]4 years ago
7 0
The answer is B
first, look at all the x coordinates:
-5+2=-3, -2+2=0, 0+2=2
then, look at all the y coordinates:
1+1=2, 7+1=8, 1+1=2

All the three points are translated in the same way, that is, right 2 units, up 1 unit. the two triangles are congruent.
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Write the equation of the line that passes through the point (-5,5) and has a slope of -8/5
Free_Kalibri [48]

Answer:

The equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                           y=-\frac{8}{5}x-3

Step-by-step explanation:

Given

  • \left(x_1,\:y_1\right)=\left(-5,5\right)
  • m=\frac{-8}{5}

Point-Slope Form equation is

\left(y-y_1\right)=m\left(x-x_1\right)

\left(y-5\right)=\frac{-8}{5}\left(x-\left(-5\right)\right)

\mathrm{Apply\:rule}\:-\left(-a\right)=a

y-5=\frac{-8}{5}\left(x+5\right)

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

y-5=-\frac{8}{5}\left(x+5\right)

y-5+5=-\frac{8}{5}\left(x+5\right)+5

y=-\frac{8}{5}x-3

Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                           y=-\frac{8}{5}x-3

5 0
3 years ago
If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?
Alchen [17]
<h3>Answer:   -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

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