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Advocard [28]
3 years ago
8

The edge of one is 4cm longer than the edge of a second cube.The volume of the cubes differ by 316m square. Find the length of e

ach cube
Anyone that answers I will mark as brilliant
Mathematics
1 answer:
quester [9]3 years ago
5 0

Answer:

The sides are 3 and 7 cm long.

Step-by-step explanation:

Let the lengths be x and x+4 cm, then

(x + 4)^3 - x^3 = 316

x^3  + 12x^2 + 48x + 64 - x^3 = 316

12x^2 + 48x + 64 - 316 = 0

12x^2 + 48x - 252 = 0

12(x^2 + 4x - 21) = 0

12(x + 7)(x - 3) = 0

x = -7, 3

So one cube has side of length  3 cm.

The other has side 3+4 = 7 cm.

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Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship ​. NEED HELP PLEASE
gizmo_the_mogwai [7]

Answer:

y = \frac{4}{3} x + 17  

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, \frac{y_2-y_1}{x_2-x_1}. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}

Thus, the slope is \frac{4}{3}.

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

The m represents the slope of the equation, so substitute it for \frac{4}{3}. The b represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

y = \frac{4}{3} x + 17

7 0
3 years ago
Could u pls show me step by step
Brums [2.3K]

Answer:

Area = 36 sq. units

Step-by-step explanation:

The 3 values you need to solve for the area are the top base length, bottom base length, and height.

Top base length = 7 . It's the distance between point A and B.

Bottom base length = 11. It's the distance between points C and D.

Height = 4. It's the perpendicular distance from the top to the bottom base.

The formula to solve the area of a trapezoid (or trapezium, I'm American) is:

A = \frac{1}{2}h(b_{1} +b_{2})

Put in the numbers above for the unknowns and you will get this:

A = \frac{1}{2}(4)(7 + 11)

Simplify:

A= \frac{1}{2}(4)(18)

A = 2(18)

A = 36

So the answer is 36. Hope I helped!

5 0
3 years ago
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pav-90 [236]

Answer:

x = 3/5

Step-by-step explanation:

multiply the equation by 3 --> (x/3 = 2x-1) x 3

x = 6x - 3

-5x = -3

x = 3/5

3 0
4 years ago
In Angkor, Cambodia’s ancient city, a clever/A
stealth61 [152]

There is an error in clever.

<h3>What is the history of Angkor?</h3>

A dynasty of Khmer monarchs oversaw one of the biggest, wealthiest, and most advanced kingdoms in Southeast Asia's history from the city of Angkor, which served as the country's capital. The kings of Angkor ruled over a region that stretched from the tip of the Indochinese Peninsula northward to modern-day Yunnan province, China, and from Vietnam westward toward the Bay of Bengal from the last decade of the 9th century, when King Yashovarman I made Angkor his home, until the early years of the 13th century. These kings built a number of enormous structures throughout this time period to exalt themselves, their gods, and their capital city. They did this by using the enormous labour and financial resources at their disposal.

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7 0
1 year ago
What multiples into 4 and adds up to 5
vampirchik [111]

Answer:

4 and 1

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6 0
3 years ago
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