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3 years ago

Explain why the equation 2L + 2W = 4(L - W + 7) is true for the rectangle

2 answers:

7 0

you can find the perimeter of rectangle if you subtract the width from the length, add 7 inches, and multiply the result by 4. b.Explain the equation 2L +2w=4(L-w+7)

nikklg [1K]3 years ago

6 0

P = 2W +2L step is keep 2L in one side of equation , and move every thing else to the other side. In moving any quantity from one side to other, change the sign. ( equivalent of adding or subtracting equal quantity from both sides of equation). 2L = P - 2W divide both sides by 2: L = p/2 - w Step is the same as solving X in equation of 8 = 2X + 16 2X = 8 -16 = 8 X =4 . But, here you solve one variable in terms of other variables. 9/9/2013 | Parviz F.

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In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea

Harman [31]

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

8 0

1 year ago

What is the value of x? Enter your answer in the box.

mario62 [17]

X = 12

because if you notice, each of the angles have a little arc in the corner, which means they are congruent. if all three angles are congruent, that means each angle is 60° because each triangle has a maximum value of 180°. therefore, this means it is an equilateral triangle.

that being said, each side must be equal as well. so, you can use any two sides to find x by using each one on a different side of an equation, then isolating and solving.

5x - 22 = 3x + 2 = 4x - 10

so

5x - 22 = 3x + 2
3x + 2 = 4x - 10
4x - 10 = 5x - 22

whichever one you solve for, x = 12. and if you plug in that number for x, each side equals the same number = 38

8 0

2 years ago

the vaal dam can store 2536 million m3 of water when full. However it was 65 4% full on the 30 January 2020 how many litres of w

PIT_PIT [208]

Answer:

Current water in dam = 1,676.202 million m³ (Approx.)

Step-by-step explanation:

Given:

Storage capacity of dam = 2,536 million m³

Current water level = 65.4%

Find:

Current water in dam

Computation:

Current water in dam = Storage capacity of dam x Current water level

Current water in dam = 2,563 x 65.4%

Current water in dam = 1,676.202 million m³ (Approx.)

5 0

3 years ago

Jack leaves from school and goes 4 miles north and 3 miles east to reach his home. How far is his home from school?

fiasKO [112]

Answer:

D. 5 miles

Step-by-step explanation:

Jack forms a right triangle with his route: the distance between the school and home is the hypotenuse.

It is equal to:

√4²+3²= √25 = 5 miles

Correct choice is D

3 0

2 years ago

Solve for x: -4x - 12 < 12

aliina [53]

Seems like you are an imposter ;). This is Middle School math.

Anyways...

Answer:

x>6

Step-by-step explanation:

-4x-12<12

Add 12 on both sides.

-4x<24

Divide both sides by -4 to isolate x. Remember that if you are dividing by a negative, flip the sign!

x>6

Hope this helps!

6 0

3 years ago