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iragen [17]
3 years ago
8

Perform the indicated operations and simplify: 8c + 5c - (5c+6)

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

Simplify the expression.

8c − 6

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A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.
dimulka [17.4K]
A = W· L
10,000 = W ( W +30 ) = W² + 30 W
W² + 30 W - 10,000 = 0
W = \frac{-30+ \sqrt{900+40000} }{2}=  \frac{-30+202.24}{2} = 86.12
L = 86.12 + 30 = 116.12
Width of a plot is 86.12 m and lenght is 116.12 m.
Check : A = 116.12 · 86.12 ≈ 10,000
6 0
3 years ago
una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la
seropon [69]

Answer:

The formula for calculating the width of the window is

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

P=2(l+w)

we have

P=6\ m

so

6=2(l+w)

simplify

3=(l+w)

isolate the variable l

l=3-w ----> equation A

The area of the window is equal to

A=lw

we have

A=2\ m^2

so

2=lw ----> equation B

substitute equation A in equation B

2=(3-w)w

solve for w

2=3w-w^2

w^2-3w+2=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

w^2-3w+2=0

so

a=1\\b=-3\\c=2

substitute in the formula

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}  --->  formula for calculating the width of the window

w=\frac{3(+/-)\sqrt{1}} {2}

w=\frac{3(+/-)1} {2}

w=\frac{3(+)1} {2}=2\ m

w=\frac{3(-)1} {2}=1\ m

7 0
3 years ago
What is the answer ​
Reika [66]

Answer:

35 mi²

Step-by-step explanation:

Let's subdivide the figure, as shown.

The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².

The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.

Area of trapezoid:

     12 mi + 18 mi

  ------------------------  =  15 mi             Width of trapezoid = 3 mi

                2

Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²

and the total area of the entire figure is

45 mi² + 90 mi² = 135 mi²

3 0
2 years ago
The sum of the first natural number and 0 is 1, the sum of the first two natural numbers and 0 is 3, the sum of the first three
Kitty [74]
The sum of the first n natural numbers and 0=
n*(n+1)/2
8 0
2 years ago
Read 2 more answers
Which equation is equivalent to n + 4 = 11? *
dangina [55]

Answer:

(n + 4) *2 = 11 * 2

Step-by-step explanation:

(n + 4) *2 = 11 * 2

Divide both sides by 2

\frac{(n + 4) *2}{2} = \frac{11 * 2}{2}

n + 4 = 11

5 0
3 years ago
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