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maxonik [38]
2 years ago
6

What percent of 21 is 7?

Mathematics
2 answers:
Marina86 [1]2 years ago
8 0
(7/21)*100=700/21=33.333
prohojiy [21]2 years ago
7 0
33 percent. 

7/21 = 0.3333333
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Rationalize the denominator and simplify. StartFraction 5 minus StartRoot 3 EndRoot Over 4 plus 2 StartRoot 3 EndRoot EndFractio
nasty-shy [4]

Answer:

\frac{13-7\sqrt{3}}{2}

Step-by-step explanation:

We need to rationalize the denominator of = \frac{5-\sqrt{3}}{4+2\sqrt{3}}. For rationalizing we multiply the equation by \frac{4-2\sqrt{3}}{4-2\sqrt{3}}

So, solving

= \frac{5-\sqrt{3}}{4+2\sqrt{3}}*\frac{4-2\sqrt{3}}{4-2\sqrt{3}} \\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{4+2\sqrt{3}*4-2\sqrt{3}}\\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{(4)^2-(2\sqrt{3})^2}\\= \frac{5(4-2\sqrt{3})-\sqrt{3}(4-2\sqrt{3})}{16-(4*3)}\\=\frac{20-10\sqrt{3}-4\sqrt{3}+2*3}{16-12}\\=\frac{20+6-14\sqrt{3}}{4}\\=\frac{26-14\sqrt{3}}{4}\\= \frac{2(13-7\sqrt{3})}{4}\\=\frac{13-7\sqrt{3}}{2}

5 0
3 years ago
?????? Someone help please aaaaa
timama [110]

Answer:

just search it up

Step-by-step explanation:

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6 0
2 years ago
Describe the graph that would be used to solve the equation –x2 + 4 = x + 2 using a system of equations. How will you use the gr
gayaneshka [121]

Answer:

The solutions are (-2 , 0) and (1 , 3)

Step-by-step explanation:

∵ -x² + 4 = x + 2

* y = -x² + 4 ⇒ is quadratic represented by parabola

 The parabola open downward because coefficient of x² is negative

 The x-coordinate of its vertex = -b/2a, where b is the

  coefficient of x and a is the coefficient of x²

∴ x = 0/2(-1) = 0

∴ The y-coordinate of the vertex = (0)² + 4 = 4

∴ The maximum point of the parabola is (0 , 4)

∵ -x² + 4 intersects x-axis at y = 0

∴ -x² + 4 = 0 ⇒ -x² = -4 ⇒ x² = 4

∵ x² = 4

∴ x = ±√4 = ± 2

∴ the parabola intersects x-axis at -2 , 2

∵ y = x + 2 represented by a line its slope = 1

  It intersects y-axis at 2

∵ x + 2 intersects x-axis at y = 0

∴ x + 2 = 0

∴ x = -2

∴ The parabola and the line intersect each other at

  x = -2 and y = 0

To find all the point of intersection between the 2 equations we will solve them as a system of equations

∵ y= -x² + 4  and y = x + 2

∴ -x² + 4 = x + 2

∴ -x² + 4 - x - 2 = 0

∴ -x² - x + 2 = 0 ⇒ × -1

∴ x² + x - 2 = 0 ⇒ factorize

∴ (x + 2)(x - 1) = 0

∴ x + 2 = 0 ⇒ x = -2

∴ x - 1 = 0 ⇒ x = 1

* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)

* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)

The solution graphically

3 0
2 years ago
Read 2 more answers
Help!!!ASAP!!!PLZ!!!
noname [10]

You find the least common multiple of the two denominators, then you multiply whatever you multiplied to the denominator to the numerator to get to the LCM.

ex:

3/4 + 2/3 --> 9/12+ 8/12= 17/12

7 0
3 years ago
Nine fewer than half a number is 5 more than four times the number define a varuble
Amanda [17]

5/2x-9+4x

the variable is x

4 0
2 years ago
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