All categories

3 years ago

Question

Mathematics

1 answer:

Vesnalui [34]3 years ago

4 0

Answer:

width is 4

height is 20

Step-by-step explanation:

Area=½ width × height

let the width be x

height will be 6x - 4

40 = ½ × x × (6x - 4)

40 = 2/2 × 3x² - 2x

40 = 3x² - 2x

3x² - 2x - 40 = 0

3x² -12x + 10x - 40 = 0

3x(x-4) + 10(x-4) = 0

(3x + 10)(x - 4) = 0

x = -10/3 or 4

dimension cannot be negative

x is 4

6x-4= 6(4) - 4

24 - 4

You might be interested in

You placed a 12% down payment on a new home. Given that the amount of the down payment was $42,655.12, determine the price of th

Soloha48 [4]

Answer:

355,459.33

Step-by-step explanation:

42,655.12/12 = 3554.59

3554.59*100 = 355459.33

7 0

3 years ago

Read 2 more answers

The pyramid shown has a square base that is 24 inches on each side. The slant height is 20 inches. What is the surface area of t

pashok25 [27]

The surface area for this is 1536 units.

4 0

3 years ago

I need help plzzzzz this is really confusing

Anuta_ua [19.1K]

Answer:

B. <u>x</u><u><</u><u> </u>-3

hope it helps.

<h3>stay safe healthy and happy.</h3>

5 0

3 years ago

Read 2 more answers

Doug bought a new car for 25,

pentagon [3]

This is exponential decay which can be expressed as:

y=ab^t, y=final value, a=initial value, b=rate, t=time

In this case a=25000, r=(100-20)/100=0.8 so

y=25000(0.8^t), so in 4.5 years...

y=25000(0.8^4.5)

y≈$9158.93 (to nearest cent)

3 0

3 years ago

Read 2 more answers

Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4

Murljashka [212]

Answer:

$y=4x^{3}$

Step-by-step explanation:

It is known that,

<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>

The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

As, we have the function $y=x^{3}$ which is stretched by a factor of 4.

Thus, the new function will be $y=4x^{3}$ .

Hence, the equation for the vertical stretch is $y=4x^{3}$ .

8 0

3 years ago