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4 years ago

Is -10.5 a rational number?

Mathematics

1 answer:

sladkih [1.3K]4 years ago

5 0

Yes it is a rational number it can be expressed as a fraction

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How do i solve the question in the image provided ?

Mars2501 [29]

Answer:

0.19+0.46i and 0.19-0.46i

Step-by-step explanation:

$\neq (-b+\sqrt{b^2-4ac} )/2a\\and\\(-b-\sqrt{b^2-4ac} )/2a\\\\a=8\\b=3\\c=2\\(-3+\sqrt{3^2-4*8*2} )/(2*8)\\= - 0.1875+0.463512i\\(-3-\sqrt{3^2-4*8*2} )/(2*8) = -0.1875-0.463512i$

hope its right

6 0

3 years ago

How do I do this please help??

Brums [2.3K]

Answer:

Slope: 4

Y-intercept: -5

Equation: y=4x-5

Step-by-step explanation:

Slope formula:

$\frac{y2 - y1}{x2 - x1}$

So let's use the ordered pairs (1, -1) and (2,3) from the table (it doesnt matter which ones you choose) and plug the numbers in to the formula:

$\frac{3 - ( - 1)}{2 - 1}$

Which is equal to:

$\frac{4}{1}$

Which is equal to 4. So the slope is 4.

To find the y-intercept, substitute the slope and an ordered pair into the slope-intercept equation, y=mx+b. So let's use (1,-1).

-1=4(1)+b

= -1=4+b

= -1-4=4-4+b

= -5=b

So the y-intercept is -5.

Then for the equation, you just plug in the slope and the y-intercept into y=mx+b, which would be:

y=4x-5

3 0

4 years ago

If 2 = 6, 3 =12, 4 = 20, 5 = 30, 6 = 42 then 9 = ?

Soloha48 [4]

At first you may get confused but look at those numbers carefully :)

as you see first result is divisible buy one of the product (second product in all cases is unknown)
so let's check where it will lead us :)

$6/2=3$

$12/3=4$

$20/4=5$

$30/5=6$

$42/6=7$

Now you can clearly see that every number was multiplied by number 1 higher than itself.
$2*(2+1)=6$

$3*(3+1)=12$

$4*(4+1)=20$

etc...

it means that after equation sign there should be $90$ because

$9*(9+1)=90$ :)