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3 years ago

The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the

Mathematics

1 answer:

storchak [24]3 years ago

7 0

Answer:

Step-by-step explanation:

let the width = w

w = w

L = 4 + w

Area = 4*w + 25 = L * w

4w + 25 = L * w Substitute for the length

4w + 25 = (w*(w + 4))

4w + 25 = w^2 + 4w Subtract 4w from each side

w^2 = 25 Take the square root.

w = +/- 5

- 5 has no meaning.

w = 5

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Find all solutions of the equation in the interval [0, 2pi).

mina [271]

Answer:

x = 0 , π

Step-by-step explanation:

$-4 \sin x = 1 - cos^2 x$

Rewrite it by using the identity $\sin^2x + \cos^2x = 1$

$=> -4\sin x = \sin^2x$

Add 4sin x to both the sides.

$=> -4\sin x + 4\sin x = sin^2x + 4\sin x$

$=> \sin^2x + 4\sin x = 0$

Take sin x common from the expression in L.H.S.

$=> \sin x(\sin x + 4)=0$

Here , we can get two more equations to find x.

1) $\sin x(\sin x + 4)=0$

Divide both the sides by sin x

$=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}$

$=> \sin x + 4 = 0$

Substract 4 from both the sides.

$=> \sin x + 4 - 4 = 0 - 4$

$=> \sin x = -4$

$=> x = No \; Solution$

2) $\sin x(\sin x + 4)=0$

Divide both the sides by (sin x + 4)

$=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}$

$=> \sin x = 0$

$=> x = 0 \; , \pi$ over interval [0 , 2π).

5 0

3 years ago

Section 1 - Question 8

Alexxx [7]

Answer:

square

Step-by-step explanation:

all sides have the same length $\sqrt{29}$

all vertices form 90 degree angles

4 0

3 years ago

Which expressions are equivalent to the expression 7(5 + m) – 8? Check all that apply. 7m + 27 34m 35 + m – 8 35 + 7m – 8 75 + m

neonofarm [45]

7(5 + m) - 8 is equivalent to 35 + 7m - 8.

7(5+m)-8, multiply 7 with 5 and m and you get 35 + 7m - 8 which is also equal to 27 - 7m.

//Hope this helps.

8 0

4 years ago

Read 2 more answers

What is 7 5/12 written in decimal

noname [10]

The answer is 7.41666667

Step-by-step explanation:

7 5/12= 89/12

Divide

=7.466666666667

8 0

4 years ago

8) -8(1 + 2x) - 2(x+6)

VashaNatasha [74]

Answer:

Step-by-step explanation:

-8(1 + 2x) - 2(x+6) = -8 - 16x - 2x - 12

= -18x - 20

6 0

3 years ago