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steposvetlana [31]

3 years ago

15

Find the y-intercept and x-intercept of the line. −5x+6y=9

1 answer:

ch4aika [34]3 years ago

8 0

Answer: X-intercept = 1.8; Y-intercept = 1.5

Step-by-step explanation:

If you are finding the Y-int, x will be 0.

If you are finding the X-int , y will be 0.

You substitute the 0's and solve the equation.

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Vicki puts 10 books on a shelf.

nadezda [96]

$the\ mean\ hickness\ of\ Vicki's\ books= \frac{28\ cm}{10} =2.8\ cm\\\\28\ cm\ \rightarrow\ 10\ boocks\\120\ cm\ \rightarrow\ x\\\\x= \frac{120\cdot 10}{28} \approx42.9\\\\Ans.\ Vicki\ can\ put\ 42\ books.$

6 0

3 years ago

Solve this <br> <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti

vampirchik [111]

Answer:

Solution of equation ( x ) = <u>7</u>

Step-by-step explanation:

In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

<u> $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ </u>

<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

<u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

4 0

2 years ago

Read 2 more answers

1.) (-18, -20) (18, 16)

aleksandrvk [35]

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

m= -7/22

3 0

3 years ago

The scale on a map is 55 cm: 88 km. If the distance between two cities is 5656 km, how far apart in cm are the two cities on the

Alinara [238K]

Answer:

3,535 cm

Step-by-step explanation:

55cm=88km

Let's make that "one unit" - 55cm=1 unit. How many units are in the distance 5656km?

5656km/88km=64.2727... units.

55cmx64.2727... = 3,534.999 cm (depending on what your teacher requires, we can probably round to 3,535).

Therefore, we know that the two cities are 3,535 cm apart on the map.

6 0

2 years ago

Read 2 more answers

Find the slope of the line that passes through (8, 4) and (5, 2).

Troyanec [42]

If u you do the slope formula...(m=y2-y1/x2-x1)

2-4/5-8
-2/-3=2/3
Therefore the slope would be 2/3
Btw can u plz mark this answer the brainliest

8 0

3 years ago