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2 years ago

Factorise 32 x cube minus 8 y square

Mathematics

1 answer:

andreev551 [17]2 years ago

6 0

Answer: $8(4x^3-y^2)$

Step-by-step explanation:

$32x^3-8y^2$

$8(4x^3-y^2)$

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9(u-2) + 1.5u=8.25

Colt1911 [192]

Answer:

u= 2.5

Step-by-step explanation:

Using BIDMAS

Step 1: Expand the bracket

9(u-2) + 1.5u=8.25

9u-18+1.5u=8.25

Step 2: collect like terms

9u+1.5u=8.25+18

10.5u=26.25

Step 3: Divide both sides by 10.5 to get u

u= $\frac{26.25}{10.5}$ = 2.5

6 0

3 years ago

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Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

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2 years ago

The sequence is recursive. find the value of the next term in the sequence. 8, 10, 12, 14, . . .

Mars2501 [29]

It's an arithmetic progression with first term = 8 and common difference d =2:
so the next term is 14 + 2 = 16

8 0

2 years ago

( The question is on the attachment )

valentina_108 [34]

We can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.

From the graph, we see the line crosses the y-axis at y = 15. That means the y-intercept is 15, and we have so far y = mx + 15.

Now we need the slope. On the graph we see that for every 3 units up in y, there is 1 unit to the right in x. The slope is 3/1 = 3. m = 3. Now we add the slope to the equation.

y = 3x + 15

Answer: y = 3x + 15

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2 years ago

What is 40percent of 50

AnnZ [28]

Answer:

Step-by-step explanation:

25=50% so minus 5

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2 years ago

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Factorise 32 x cube minus 8 y square​

Factorise 32 x cube minus 8 y square