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2 years ago

Find the coordinates of the image after a translation of the figure below using (x,y) → (x+3, y + 2).

Mathematics

1 answer:

Elina [12.6K]2 years ago

5 0

Answer:

A(-3,-4)

B(-1,1)

C(3,5)

D(2,-5)

Step-by-step explanation:

if you have any questions about it dont hesitate to ask me

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11.1.30<br> How many three-digit even numbers are possible if the leftmost digit cannot be zero?

Ann [662]

The total number of 3 digit even numbers is 450

Step-by-step explanation:

Step 1 :

We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .

The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998

If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.

Step 2:

The last number l in this series is 998 .

So we have

a = 100

l = 998

d = 2

The nth term in the arithmetic progression is given by a + (n-1) d

so substituting the above values we get

100 + (n-1) 2 = 998

2n = 900 => n = 450

Step 3 :

Answer :

The total number of 3 digit even numbers is 450

4 0

3 years ago

What is the value of x in the equation below?<br><br> 6 (x minus 8) = 72<br> 12<br> 15<br> 20<br> 24

andriy [413]

The answer is c, 20.

3 0

2 years ago

Read 2 more answers

Người ta thống kê được rằng mỗi chuyến bay có chừng 0,5% hành khách bị mất hành lí và giá trị trung bình mà khách đòi bồi thường

Butoxors [25]

Answer:

tăng lên 5.000 nghìn đồng

Step-by-step explanation:

mỗi chuyến bay có 0.5% hành khách mất hành lí

mỗi người đòi bồi thường 1.000.000 đồng

do đó vẽ mỗi người tăng lên :0.5%×1.000.000=5.000

5 0

2 years ago

Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re

fiasKO [112]

Answer: $R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}$

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts $38^{\circ}$ angle to each other

The resultant of the two forces is given by

$\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}$

Insert the values

$\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb$

Resultant makes an angle of

$\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}$