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3 years ago

12

So uh this is due tomorrow

1 answer:

Serga [27]3 years ago

5 0

He will make 374.85 this week .

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

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A car traveled a distance of 126 miles in 3 hours. Traveling at the same speed, what distance would this car travel in 7 hours?

Finger [1]

The correct answer would be 294 because you would have to divide 126/3 to find out how many miles per hour then multiply it by 7 for 7 hours

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4 years ago

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What is 3a^2×c^-2÷4b^0 ??? I need help

Lyrx [107]

I hope this picture helps

8 0

4 years ago

Which polynomial is a perfect square trinomial?

sineoko [7]

Assuming the 2nd one is 4a^2 - 20a +25, it is the one you're looking for. It factors to be (2a-5)^2

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3 years ago

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Use inverse functions where needed to find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma

Zina [86]

I'm assuming you meant:

$tan^{2}x + tanx - 30 = 0$
Let $u = tan(x)$

Thus, we can rewrite it into a quadratic.

$u^{2} + u - 30 = 0$
$(u + 6)(u - 5) = 0$
$u = -6 or u = 5$

Hence, $tan(x) = -6$ or $tan(x) = 5$
$x = tan^{-1}(-6)$ or $x = tan^{-1}(5)$

Rewriting it in general form, we get:
$x = \pi \cdot n + tan^{-1}(5), n \in Z$
$x = \pi \cdot n - tan^{-1}(6), n \in Z$

From there, you can find your solutions from $[0, 2\pi)$

6 0

4 years ago