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2 years ago

The image of the point (4, -9) under a translation is (9, -14). Find the coordinates

Mathematics

1 answer:

lilavasa [31]2 years ago

6 0

9514 1404 393

Answer:

(-4, -13)

Step-by-step explanation:

When the translation (T) is added, the image is formed.

(4, -9) +T = (9, -14)

T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)

The same holds for the second point:

(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)

The image of the second point under the same translation is (-4, -13).

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Find 7.1 times the diffrence between 60 and 14

saul85 [17]

Answer:

326.6

Step-by-step explanation:

First, find the difference between 60 and 14; 60-14=46

7.1 times the difference; the difference is 46

7.1 times means to multiply; 7.1*46=326.6

hopefully this helped

4 0

2 years ago

The expression 4\cdot3^t4⋅3 t 4, dot, 3, start superscript, t, end superscript gives the number of ducks living in Anoop's pond

Anastasy [175]

Answer:

There were 4 ducks living in Anoop's pond when he first built it.

Step-by-step explanation:

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8 0

2 years ago

Read 2 more answers

1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

7 0

2 years ago

What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?

kramer

Answer: 12 units²

Step-by-step explanation:

To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.

A=4×3=12 units²

Now, we know the area is 12 units².

3 0

2 years ago

An international company has 13,600 employees in one country. If this represents 19.3% of the company's employees, how many empl

user100 [1]

Hi there! To solve this question, we can write and solve a proportion. Let’s set it up like this: 13,600/x = 19.3/100. We do this, because we’re looking for the total amount of people, which would be the whole. We already have the part. Cross multiply the values in order to get 1,360,000 = 19.3x. Now, divide each side by 19.3 to isolate the variable. When you do, you get x is approx. 70,466.3212 or 70,466 when rounded to the nearest whole number. Plus, you can’t have a fraction of a person, anyway. The company has a total of 70,466 employees.

4 0

2 years ago