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Greeley [361]
2 years ago
11

How do you factorise 2k + 10ak

Mathematics
1 answer:
wolverine [178]2 years ago
8 0

Hii!

____________________________________________________________

\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup

2k(1+5a) <em>or </em>2k(5a+1)

\rightsquigarrow\circ\boldsymbol{Explanation.}\circ\leftharpoonup

First of all, let's find the common term of this binomial (an expression with two terms; the prefix bi- means "two")

Note that both terms have 2k in them. So, we factor it out.

\twoheadrightarrow\sf 2k\div2k+10ak\div2k

\bullet <em>Simplify</em>

<em />\twoheadrightarrow\sf 1+5a

\bullet <em>2k can't just vanish into thin air, so we put it outside the parentheses:</em>

<em />\twoheadrightarrow\sf 2k(1+5a)

\bullet <em>Great job! We factored the expression successfully</em>

<em />

<em>--</em>

Hope that this helped! Best wishes.

\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}

--

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(x⁴)³<br>ano po answer<br>plss​
yanalaym [24]

Answer:

x^12

Step-by-step explanation:

multiply 4 and 3

x^4*3 = x^12

4 0
3 years ago
I need help ASAP on Tangent Circles!!
loris [4]
I will solve one for you to get you a idea so next u can solve all
To know whether line is tangent toa circle or not we should know that that line is a tangent line of a circle if it intersects circle at single point.
and this will always be perpendicular at radius
so in problem
1)

diameter is given 7.5 
and u can see they make a right triangle ABC if that is perpendicular so segment  AB is tangent to a circle.
Lets see by applying <span>Pythagorean Theorem
</span>this is method we can say that this is in fact a right triangle

a^2=b^2=c^2
a,b are shorter side c is longer side
(7.5)^2+(8)^2=(17)^2
 56.25+64=289
120.25=289
both are not equal so they are not forming right triangle so segment AB is not a tangent line.
5 0
3 years ago
I don't know how to do this question.
sergij07 [2.7K]
The perimeter is the measure around the shape, so just add all the sides together-
6+5x+x+2
6x+8
Since this is a right triangle, you multiply the legs (6 and x+2) and divide by 2
6(x+2)
6x+12
/2
3x+6
8 0
2 years ago
What the expression (4f-3+2g)-(4g+2)
galben [10]
For this question you can say: 
4f -3 +2g - 4g -2
so now you can simplify and find the answer:
4f -3 -2g -2 = 4f -2g -5
and that's the answer :)))
I hope this is helpful
have a nice day 
8 0
3 years ago
How can i calculate the growth rate of the values below
Grace [21]

Answer:

  12%

Step-by-step explanation:

The equation for the growth is ...

  f(t) = (initial value)×(growth multiplier per period)^(number of periods)

where the growth multiplier is often expressed as a percentage added to 1:

  multiplier = 1+r

  growth rate = r

__

This equation has two unknowns:

  • initial value
  • growth multiplier

In order to find these, you can make use of two of the supplied data points. I like to choose the ones that are farthest apart, as they tend to average out any errors due to rounding.

Clearly, the table tells you the initial value is 210. If you don't believe, you can put the numbers in the equation to see that:

  f(0) = (initial value)×(growth multiplier)^0

  210 = (initial value)×1

  (initial value) = 210

__

Using the last data point, we get ...

  f(7) = 210×(growth multiplier)^7

  464 = 210×(growth multiplier)^7 . . . . . . . . . fill in table value

  2.209524 = (growth multiplier)^7 . . . . . . .  divide by 210

You can solve this a couple of ways. My calculator is able to take the 7th root, so I can use it to find ...

  \sqrt[7]{2.209524}=\text{(growth multiplier)}\\1.119916\approx \text{(growth multiplier)}

Alternatively, you can use the 1/7 power:

  2.209524^(1/7) = (growth multiplier)

Another way to solve this is to use logarithms:

  log(2.209524) = 7×log(growth multiplier) . . . . . take the log

  log(2.209524)/7 = log(growth multiplier) . . . . . divide by 7

  0.04918553 ≈ log(growth multiplier)

  growth multiplier = 10^0.04918553 ≈ 1.11992 . . . . take the antilog

So, our growth multiplier is ...

  1 + r ≈ 1.11992

  r ≈ .11992 ≈ 12.0%

The rate of growth is about 12% in each period.

_____

Collapsing all of that to a single calculation:

  growth rate = (464/210)^(1/(7-0)) -1 ≈ 12.0%

8 0
3 years ago
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