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lakkis [162]
3 years ago
6

X=√

rt{15 - 2 \times } " alt="x = \sqrt{15 - 2 \times } " align="absmiddle" class="latex-formula">
15-2x
Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0
The answer:  " x = 5 " .
____________________________________
Explanation:
____________________________________
Given:   "  x = √(15 <span>− 2x) " ;  Solve for "x" ; 
____________________________________
  "Square" each side of the equation:
____________________________________
</span>      → (x)²  =  [√(15 − 2x) ] ²  ; 

  →   x  =  15 − 2x   ;

Now, add "2x" to each side of the equation:

 →   x + 2x = 15 − 2x + 2x  ;

 →    3x = 15 ; 

Now, divide each side of the equation by "3" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ; 

 →    3x / 3 = 15 / 3  ; 

 →    " x  =  5 " .
____________________________________________________
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Karo-lina-s [1.5K]

\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a


a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}

b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}

c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}

Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}

5 0
3 years ago
Can someone help me with this it's due today​
natali 33 [55]

Answer:

37 centimeters

Step-by-step explanation:

First, since the triangles are similar, find out how much larger STR is than HIJ by finding an similar side and dividing the numbers. Since the only similar side that we know both numbers on it ST and HI, so we divide 10 by 4 to get the unit rate, which is 5/2. The missing side on STR is the bottom, so to get it, multiply 6, the bottom of the other triangle, by the unit rate, 5/2, to get the answer of 15. Then, perimeter is all of the sides added up, so 10+12+15=37 cm.

(hope this helps :P)

5 0
3 years ago
Evaluate 6x + 11 when x = 7
nlexa [21]

Answer:

53

Step-by-step explanation:

To evaluate 6x + 11, we must substitute the value of x.

Since we know that x = 7, it is easier to evaluate the expression;

6x + 11

6(7) + 11

Since 6 is outside the parenthesis, we must multiply everything inside the parenthesis by 6;

6(7) + 11

42 + 11

When you add the two numbers you get:

53

4 0
3 years ago
What is the area of this triangle 12 inches and 3 inches
o-na [289]

Answer:

AREA =18

Step-by-step explanation

think of a rectangle, 12 by 3 which is also 12*3

so you do 12*3=36

but since it is a triangle you have to divide it by 2

36/2=18

18

5 0
3 years ago
Read 2 more answers
Approximate the value of 5(pi)
max2010maxim [7]

Answer: C

Step-by-step explanation: 5pi converts to 15.70796

5 0
2 years ago
Read 2 more answers
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