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3 years ago

Find the length of segment AB

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer:

AB = 10.77 units

Step-by-step explanation:

If the extreme ends of a line segment are $(x_1,y_1)$ and $(x_2, y_2)$ .

Then the length of the segment joining these extreme ends will be,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).

Measure of AB = $\sqrt{(7+3)^2+(5-1)^2}$

AB = $\sqrt{100+16}$

AB = $\sqrt{116}$

AB = 10.77 units

Therefore, length of the segment AB will be 10.77 units.

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cupoosta [38]

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6 0

3 years ago

Solve 2(1 – x) > 2x this is my question for algebra

Rudik [331]

To solve this, you need to isolate/get the variable "x" by itself in the inequality:

2(1 - x) > 2x Divide 2 on both sides

$\frac{2(1-x)}{2} >\frac{2x}{2}$

1 - x > x Add x on both sides to get "x" on one side of the inequality

1 - x + x > x + x

1 > 2x Divide 2 on both sides to get "x" by itself

$\frac{1}{2} >x$ or $x$ (x is any number less than 1/2)

[Another way you could've solved it]

2(1 - x) > 2x Distribute 2 into (1 - x)

(2)1 + (2)(-x) > 2x

2 - 2x > 2x Add 2x on both sides

2 - 2x + 2x > 2x + 2x

2 > 4x Divide 4 on both sides to get "x" by itself

$\frac{2}{4} >\frac{4x}{4}$

$\frac{1}{2} >x$

6 0

3 years ago

PLEASE HELP, 30 points AND brainliest if I get an explanation :)

Nostrana [21]

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:$

$A\approx 84.3\:\:\:$

Thus,

The Area of the Blue Pentagon = $A\approx 84.3\:\:\:$

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:$

$\:A\approx 27.5$

The Area of the Red Pentagon = $\:A\approx 27.5$

Conclusion:

The Perimeter of the Blue Pentagon = 35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon = 84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

$\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}$

7 0

3 years ago

Complete the table: 6,000 meters kilometers 8,000 9,000 5 7

Alex17521 [72]

Answer:

Remember while answering, 1 kilometer = 1,000 meters

5,000 ⇒ 5

6,000 ⇒ 6

7,000 ⇒ 7

8,000 ⇒ 8

9,000 ⇒ 9

Step-by-step explanation:

1 kilometer is 1,000 meters because "kilo" means 1,000

Knowing this we can make an equation to figure this out

When we know x, or meters, we can do y = x/1,000

When we know y, or kilometers, we can do x = 1,000y

4 0

3 years ago

What happens when you celebrate halloween in the spring

kirill [66]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Find the length of segment AB​

Find the length of segment AB