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3 years ago

15

Line segment AB has a length of 4 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'

. What is the length of A'B'?

2 answers:

Goryan [66]3 years ago

6 0

The length of A'B' is 6 units

Akimi4 [234]3 years ago

4 0

Answer:

2 units, it was only translated, so only moved, no change to the length happened.

Step-by-step explanation:

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A parallelogram has side length of 9x+12 and 3x-4.what is the perimeter ?

Karo-lina-s [1.5K]

2(9x+12) + 2(3x-4)
because there are four sides, and it is a parallelogram, the opposite sides are equal. the answer is 24x+16

7 0

3 years ago

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

3 years ago

Read 2 more answers

Please I need help on this

Stolb23 [73]

Answer:

8.4

Step-by-step explanation:

50 ÷ 25 = 2

(2)2 x 7 x 0.3

4 x 2.1

= 8.4

5 0

3 years ago

Read 2 more answers

Do set of numbers DO NOT form a Right Triangle?<br> O 9, 12, 15<br> 5, 12, 13<br> 3,4,5<br> O 4,5,6

NeTakaya

Answer:

The ans is 3,4,5

Step-by-step explanation:

Hope it helps you Tq

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Stells [14]

Answer:

100 thousandths

Step-by-step explanation:

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2 years ago