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sammy [17]
3 years ago
12

Simplify. Rationalize the denominator. 3/9-√2​

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

\frac{3}{9-\sqrt{2} } * \frac{9+\sqrt{2}}{9+\sqrt{2}}

\frac{27 + 3\sqrt{2} }{9^{2} - (\sqrt{2})^{2}  }

\frac{27 + 3 \sqrt{2} }{81 - 2}

\frac{27 + 3\sqrt{2} }{79}

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The graph for the equation y = negative 2 x + 1 is shown below.
Alex

Answer:

  y = -1/2 (4 x + 2)

Step-by-step explanation:

A system of two equations with no solution will consist of equations for <em>parallel lines</em>. The line will be parallel if they have the same slope (x-coefficient) and different y-intercepts.

The given line has a slope of -2, so eliminating the last two choices.

The first two choices can be expanded to slope-intercept form:

  y = negative 2 (x minus one-half)  ⇒  y = -2x +1 . . . same as given line

  y = negative one-half (4 x + 2)  ⇒  y = -2x -1 . . . parallel line

There will be no solution if another equation is ...

  y = -1/2(4x +2)

3 0
3 years ago
Find IJ, JK, and IK <br> Analyze the diagram below and complete the instructions that follow.
fredd [130]
IJ=x-4
JK=5x+12
IK=9x-19

IJ+JK=IK
(x-4)+(5x+12)=(9x-19)
x-4+5x+12=9x-19
6x+8=9x-19
6x+8-6x+19=9x-19-6x+19
27=3x
3x=27
3x/3=27/3
x=9

IJ=x-4=9-4→IJ=5
JK=5x+12=5(9)+12=45+12→JK=57
IK=9x-19=9(9)-19=81-19→IK=62

Answer: Option B. IJ=5, JK=57, IK=62
4 0
3 years ago
Y= 1/2x^2-2x+5 what is the vertex form?
lianna [129]
I really hope you understand the steps.

6 0
3 years ago
Solve for x! 37m,12m,5xm
dmitriy555 [2]

Answer:

\Huge\boxed{x=7}

Step-by-step explanation:

Hello there!

The first thing we want to do is find the measure of the large leg

To do so we use the Pythagorean theorem which says a^2+b^2=c^2\\

where a and b are legs and c is the hypotenuse

we want to find b given the hypotenuse and short leg

so  b^2=c^2-a^2

all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)

so

b^2=37^2-12^2\\37^2=1369\\12^2=144\\1369-144=1225\\b^2=1225\\\sqrt{b^2} =b\\\sqrt{1225} =35\\b=35

so the longer leg is equal to 35

35=5x

divide each side by 5

5x/5=x

35/5=7

we're left with x=7

3 0
3 years ago
Whats the balance point for 3,7,8
Pani-rosa [81]

Answer:

The balance point is the,number in between your set of numbers so you need to find The middle of 3 and 7, and then when you get that answer you find the number in between 8 and the,number you just found

Step-by-step explanation:

I'm not good at figuring this out myself but, I know the steps

3 0
3 years ago
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