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Flauer [41]
3 years ago
15

What is the answer to the following problem 2/3+5/9

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

11/9 or 1 2/9

Step-by-step explanation:

2/3 multiples by 3 in both the numerator and denominator is equal to 6/9. 6/9 plus 5/9 is 11/9. you want to make sure the denominator is the same before adding or subtracting

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Solve for r. <br><br> √2/3r + 1 = 23
Keith_Richards [23]

Answer:

2nd option

Step-by-step explanation:

\frac{\sqrt{2} }{3} r + 1 = 23 ( subtract 1 from both sides )

\frac{\sqrt{2} }{3} r = 22 ( multiply both sides by 3 to clear the fraction )

\sqrt{2} r = 66 ( divide both sides by \sqrt{2} )

r = \frac{66}{\sqrt{2} } × \frac{\sqrt{2} }{\sqrt{2} } ( rationalising the denominator )

r = \frac{66\sqrt{2} }{2} = 33\sqrt{2}

7 0
2 years ago
Read 2 more answers
What is -3x-3y=3 y=-5x-17 for substitution please show steps
Snowcat [4.5K]
Take -5x + 3x = -2x

because there is a -3x and a 3x they cancel each other out.

and the -17 is left

-2x = -17

divide -2 by -17 = 8.5
5 0
3 years ago
Read 2 more answers
Which of the following represents "next integer after the integer n"?<br> On<br> On + 1<br> O2n
tigry1 [53]

Answer:

Option B.

Step-by-step explanation:

Integer: A non fractional complete number is known as integer. It can be either positive or negative or zero.

For examples : ...,-3,-2,-1,0,1,2,3,...

It is a clear that the difference between two consecutive integers is 1. It means we have to add 1 in the integer to get the next integer.

We need to express "next integer after the integer n" mathematically. So, we need to add 1 in n.

Required expression =n+1

Hence, the next integer after the integer n is n+1.

Therefore, the correct option is B.

6 0
3 years ago
What is the distance between point A and point B?
Tpy6a [65]

Answer:

\sqrt{45}

Step-by-step explanation:

(5,9) and (2,3)

then by distance formula

d =  \sqrt{{(x1 - x2)}^{2} +  {(y1 - y2)}^{2} }

d²=3²+6²

d²=9+36

d²=45

d =  \sqrt{45 }

8 0
3 years ago
A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
3 years ago
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