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Aleonysh [2.5K]
3 years ago
9

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.

Mathematics
2 answers:
lakkis [162]3 years ago
5 0
\sf 5x+2y=21
\sf -2x+6y=-34

We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':

\sf -2x+6y=-34

Subtract 6y to both sides:

\sf -2x=-6y-34

Divide -2 to both sides:

\sf x=3y+17

Plug in 3y + 17 for 'x' in the first equation:

\sf 5x+2y=21

\sf 5(3y+17)+2y=21

Distribute 5:

\sf 15y+85+2y=21

Combine like terms:

\sf 17y+85=21

Subtract 85 to both sides:

\sf 17y=-64

Divide 17 to both sides:

\boxed{\sf y\approx -3.8}

This is the y-coordinate of the solution.
ss7ja [257]3 years ago
5 0

Answer:

-3.8

Step-by-step explanation:

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Kai has 32 tickets. He wants to put the same number of tickets into 4 boxes.
erastovalidia [21]

Answer:

32 tickets divided by 4 boxes.

Step-by-step explanation:

He wants to divide the 32 tickets between the 4 boxes. So it would be 32 divided by 4. Hope this helps and have a great day!

8 0
2 years ago
Random/probability sampling is when everyone in the group you are studying has an equal chance of participating.
zaharov [31]
Probability sampling<span> is when everyone in the group you are studying has an equal chance of participating.</span>
7 0
3 years ago
What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m? Round your answer to
yuradex [85]
Hello!

The Correct Answer to this would be 100%:

Option "85.4".

(Work Below)

Given:
height = 6m
chord = 20 m

We need to find the radius of the circle.

20 m = 2 √ [ 6m( 2 x radius - 6 m ) ] 
20 m / 2 = 2 √[ 6m( 2 x radius - 6 m ) ] / 2 
10 m = √ [ 6m( 2 x radius - 6 m ) ] 
(10 m)² = √[ 6m( 2 x radius - 6 m ) ] ² 
100 m² = 6 m( 2 x radius - 6 m ) 
100 m² = 12 m x radius - 36 sq m 
100 m² + 36 m² = 12 m x radius - 36 m² + 36 m² 
136 m² = 12 m x radius 
136 m² / 12 m = 12 m x radius / 12 m 
<span>11.333 m = radius 
</span>
the area beneath an arc: 

Area = r² x arc cosine [ ( r - h ) / r ] - ( r - h ) x √( 2 x r x h - h²<span> ). 
</span>
r² = (11.333 m)² = 128.444 m² 
r - h= 11.333 m - 6 m = 5.333 m 
r * h = 11.333 m x 6 m = 68 m²

Area = 128.444 m² x arc cosine [ 5.333 m / 11.333 m ] - 5.333 m x √[ 2 x 68 m² - 36 m² ] 

Area = 128.444 m² x arc cosine [ 0.4706 ] - 5.333 m x √ [ 100m² ] 

Area = 128.444 m² x 1.0808 radians - 5.333 m x 10 m 

Area = 138.828 m² - 53.333 m² 

Area = 85.4 m<span>²
</span>

Hope this Helps! Have A Wonderful Day! :)


And as Always...

7 0
3 years ago
Help me please <br> Select the correct answer.<br> What is the product of
Aleksandr-060686 [28]

Answer: It's A. -7.

Step-by-step explanation: I've attached an Image of my work.

7 0
2 years ago
Read 2 more answers
-5x+1+2x+2=-2+2x<br> I’m super lost
DaniilM [7]
Are you trying to simplify the equation? if so, combine the like terms on each side first. -3x + 3 = -2 + 2x. Then simplify, -5x = -5. And solve, x = 1
3 0
3 years ago
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