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3 years ago

Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?

Mathematics

1 answer:

DaniilM [7]3 years ago

8 0

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3) = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4 ; y + 3 = -8

x = 4 +2 ; y = -8 - 3

x = 6 ; y = -11

B(6 , -11)

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Which equation has the steepest parabola?

ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

$(y-k)=n(x-h)^2$

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

$\dfrac{1}{n}(y-k)=(x-h)^2$

$p(y-k)=(x-h)^2$

where $p=\dfrac{1}{n}$ , the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, $|-0.5|=0.5$

For option B, $|5|=5$

For option C, $|8|=8$

For option D, $|-10|=10$

Since, the equation is option A has smallest value of |p|, therefore, the equation $(x+2)^2=-0.5(y+3)$ represents the steepest parabola.

Hence, the correct option is A.

7 0

3 years ago

7 apples cost $5. How many apples can i buy with $8?

brilliants [131]

Answer:

7 Bc ur gonna b to broke to buy some more

Step-by-step explanation:

8-5

7 0

2 years ago

A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats s

Dafna11 [192]

The combined amount of cats sold is 117.

Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.

The ratio of Siamese cats to house cats = 4 : 9

Number of Siamese cats = 36

Number of combined cats = c

This equation can be formed using the above information:

4/13 x c = 36

4c = 468

c = 468 / 4

c = 117

A similar question was answered here: brainly.com/question/411732

5 0

3 years ago

A programmer wants to display how the shape of a rectangle with a fixed perimeter of 300 inches can be changed by varying the re

stiv31 [10]

If the rectangle has a fixed width of 300, it means that

$2(l+w)=300 \iff l+w=150 \iff w=150-l$

where $w$ and $l$ are width and length, respetively.

So given the length $l$ , the are would be

$l\times w = l\times (150-l)=-l^2+150l$

7 0

4 years ago

Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose

4vir4ik [10]

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

$M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)$

Therefore, the coordinate of B is (6,0)

5 0

3 years ago