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laiz [17]
1 year ago
14

Find x so that l || m. Show your work.

Mathematics
1 answer:
Hatshy [7]1 year ago
6 0

Hello,

Answer:

x = 13

Step-by-step explanation:

    7x + 5 + 5x + 19 = 180

⇔ 12x + 24 = 180

⇔ 12x = 180 - 24

⇔ 12x = 156

⇔ x = 156/12

⇔ x = 13

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Ellie wants to double her savings of £8000 by investing her money for 16 years.
Tanya [424]

Answer:

She need a interest rate of 6.25%

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=16\ years\\ P=\£8,000\\ A=\£8,000*2=\£16,000\\r=?

substitute in the formula above  and solve for r

16,000=8,000(1+16r)

16r=2-1

r=1/16

r=0.0625

Convert to percentage

r=0.0625*100=6.25\%

5 0
3 years ago
10q - 20 is equivalent to _____
kkurt [141]
The answer to your question is 10(q - 2)
7 0
3 years ago
Read 2 more answers
Find the domain x^2-25/2
Mumz [18]
For this, I am assuming that -25/2 is not a part of the exponent(although in future questions you should make this clear by using parenthesis.

When I do problems like this, I come to CBAD.  where the variables are y=A(Bx+C)+D

CBAD helps significantly in domain and range problems where there is a well known parent function.  (y=x^2, y=sqrt(x), y=1/x, y=x, etc).  Basically, if there is a parent function with slight additions(y=2*x^2, y=sqrt(x+1), y=1/(5x), y=3x, etc)

This works that in the order, a C term shifts the graph horizontally in the opposite direction expected (a negative number will shift right, a positive number will shift left).  For example, if C is -2, the graph of the parent function will shift right 2.
Then, a B term dilates(changes the horizontal size of the graph) by the factor 1/B(every x value is multiplied by 1/B).  Thus a B >1 will shrink the graph horizontally, and a 0<B<1 with stretch the graph horizontally.  If B is negative, it reflects the graph over the y axis and then either shrinks or stretches horizontally.  If B is 1, nothing changes.
Then, a A term dilates(changes the horizontal size of the graph) by the factor A(every y value is multiplied by A).  Thus a A >1 will stretch the graph vertically, and a 0<A<1 with shrink the graph vertically.  If A is negative, it reflects the graph over the x axis and then either shrinks or stretches vertically.  If A is 1, nothing changes.
Finally, a D term shifts the graph vertically in the direction expected (a negative number will shift down, a positive number will shift up).  For example, if D is -2, the graph of the parent function will shift down 2.

<u>Warning </u><u></u><u>CBAD must be performed in the order C-B-A-D</u>

Now that you know these simple rules and can memorize the few parent functions, you can figure out the domain and range of almost any function.  

In your case, the function x^(2)-25/2 is not much different than x^2, an upwards facing parabola centered at (0,0).  In fact, there is only one transformation, D, because C=0 (it is not shown), B=1(it is not shown), and A=1(it is not shown).  Thus the only difference between your graph and the parent function is that yours is shifted down by 25/2.  

For this reason, because the domain of x^2 is not restricted (it includes all real numbers), the domain of your new function is not restricted (it includes all real numbers).
8 0
3 years ago
Find the vertical height of given square based pyramid​
Paladinen [302]

Answer:

Step-by-step explanation:

a=12,l=10,h=?

Using pythagorus theorem;

   h=10cm, p=? and b=12/2=6cm

now,

    p=\sqrt{x}h^2+b^2

       =\sqrt{10^2+6^2

       =8cm

vertical height is 8cm    

6 0
2 years ago
5. Complete the following statement. Write your answer as a decimal or
Finger [1]

Answer:

20% or . 2

Step-by-step explanation:

To understand how to solve, you have to understand that 14 can go into 70 (X) amount of times, this is how percentages work. To find how many times 14 goes into 70, you divide 14/70 = .20

Since 14 is 20% of 70, you can multiply 14 by 5 and it equals a 100% of 70, or just 70 itself. Hope this helped

6 0
2 years ago
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