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3 years ago

64 POINTS AWARDED, PLEASE ANSWER ASAP!!!!!

Mathematics

2 answers:

antoniya [11.8K]3 years ago

8 0

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

To find the length and breadth

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and

Breadth of rectangle = 5 units

To find the area of rectangle

Area = Length * Breadth

= 8 * 5 = 40 square units

Andru [333]3 years ago

7 0

Answer:

40 units^2

Step-by-step explanation:

This is because your figure has a height of 8 and a width of 5. 8*5=40 so there u go! Please mark brainliest

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A glacier in Alaska moves about 29.99 a day about how much further will a move in a thousand days and it will move in a hundred

Lelu [443]

Try this: (29.99 units/day)(1000 days) = 29990 units.

Could you possibly include the given units of measurement in this post?

5 0

3 years ago

A line passes through (1, –5) and (–3, 7).

Brilliant_brown [7]

Slope of the line =(7- -5) / (-3-1) = 12 / -4 = -3

a. point slope form is y + 5 = -3(x - 1) Answer

b rearrange to slope-intercept form:-
y = -3x + 3 - 5
y = -3x - 2 Answer

5 0

3 years ago

Solve: 2/3x+15=17 3x+8-x=7 4(2x-6)=2

Volgvan

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer: x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

8 0

3 years ago

Samantha has a AA battery that is 51mm long. About how many centimeters long is it

Butoxors [25]

Answer:

5.1 cm

. . . . . .

All we have to do is convert our 51mm to centimeters.

We divide the length value by 10 to get our centimeters.

51 divided by 10 = 5.1

All we have to do is move our "invisible decimal"

In my way, every whole number has an invisible decimal at it's end.

For ex: '60.'

We can get into exponents. 10 is 10¹, any exponent is the number of zeros at the end of a number may have. Ex: '10² = 100'

We can move our decimal to the left since we are dividing. The amount of exponent numbers are the amount you move it, multiplying and dividing are different things with that.

Let's get back on topic.

Moving our decimal to the left with dividing is 5.1 since 10¹ has a "1" as it's exponent, making us move it "1" to the left.

Multiplying is going the right way.

I hope this helps.

5 0

3 years ago

10) Use the equation x2 + 8x = 9 to answer the following questions (1 point for each part, 2 points total). .

GREYUIT [131]

Answer:

i might be wrong but i think its 10

Step-by-step explanation:

x2+8x=9

collet terms

10x=9

divide both side by 10

x = 9/10

alternative form

x = 0.9

8 0

3 years ago