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2 years ago

Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.

1 answer:

6 0

$10x+y-(10y+x)=36\\
10x+y-10y-x=36\\
9x-9y=36\\
x-y=4\\\\
x,y\in\{1,2,3,4,5,6,7,8,9\}\\
\Downarrow\\
x=5,y=1\\
x=6,y=2\\
x=7,y=3\\
x=8,y=4\\
x=9,y=5


$

There are 5 such numbers - 51,62,73,84,95

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3 years ago

Read 2 more answers

Help!!!! Plssss!!! ASAP

zimovet [89]

Answer:

The y-intercept is (0,-26)

Step-by-step explanation:

Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

$\displaystyle y-b=\frac{d-b}{c-a}(x-a)$

We'll take the first two points P(34,-52) and Q(51,-65) to find

$y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26$

Let's verify if the third point is on the line:

$y=-\frac{13}{17}68-26=-52-26=-78$

It belongs to the line. To find the y-intercept of the line, we set x to 0

$y=-\frac{13}{17}(0)-26=-26$

The y-intercept is (0,-26)

5 0

2 years ago

Does anyone know the answer to this , its math inequalities <br><br> 48 > -6x

faltersainse [42]

Answer:

$x > - 8$

Step-by-step explanation:

Swap the sides of the inequality and flip the inequality sign:

$- 6x < 48$

Divide both side of the inequality by -6 and flip the inequality sign:

$x > - 8$

3 0

2 years ago

Read 2 more answers

5=g/8 PLRASE HELP Me

pantera1 [17]

G= 40

5x8=40

40/8=5

All you have to do is inverse operations so instead of dividing you multiply your 5 and 8 to get 40 and then check your work.

4 0

2 years ago

Multiply (9-4i)(2+5i)

Tanzania [10]

(9 - 4i)(2 + 5i)

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(9 - 4i)(2 + 5i)

9 * 2

Outside:

(9 - 4i)(2 + 5i)

9 * 5i

45i

Inside:

(9 - 4i)(2 + 5i)

-4i * 2

-8i

Last:

(9 - 4i)(2 + 5i)

-4i * 5i

-20i²

Now combine all the products of the FOIL together like so...

18 + 45i - 8i - 20i²

***Note that i² = -1; In this case that means -20i² = 20

18 + 45i - 8i + 20

Combine like terms:

38 - 37i

^^^This is your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0

3 years ago