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3 years ago

Solve the system of equations.- 9x + 4y = 69x + 5y = -33

Mathematics

1 answer:

liubo4ka [24]3 years ago

7 0

Let us solve this system of equations by using the elimination method. Adding the 2 equations, we get

9x + 5y - 9x + 4y = -33 + 6

9y = -27

y = -3

Substituting this value of y in the first equation, we get

-9x + 4(-3) = 6

-9x - 12 = 6

9x + 12 = -6

9x = -18

x = -2

Therefore, x = -2, and y = -3. Hope this helps! If you have any questions, feel free to ask.

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Please answer to receive ten points. I'll vote who answers first the brainliest if its correct.

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$P_1P_2=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.$

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3 years ago

Find the distance between the points (−5,2) and (9.2)

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Step-by-step explanation:

Formula Used

By distance formula,

d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²]

$\sf \longmapsto \: D = √(x2-x1)²+(y2-y1)²$

$\sf \longmapsto= √(9+5)²+(2-2)²$

$\sf \longmapsto= = √14²+09$

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3 years ago

Read 2 more answers

A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:

Dmitry [639]

Hi, you've asked an incomplete question. Here are the remaining questions:

a) Describe what each region in the Venn diagram represents.

Region I: In drama club, not in step team.

Region II: In both clubs.

Region III: In step team not in drama.

Region IV: Not in either club.

b) How many students were in only one of the two clubs?

c) How many students were in the drama club or in the step team?

d) How many students were surveyed?

Attached is the Venn diagram depicting the regions.

Explanation:

b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.

c) By adding 34 + 27 + those that like both (14) = 75.

d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.

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katovenus [111]

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3 years ago

Solve the system of equations.- 9x + 4y = 69x + 5y = -33​

Solve the system of equations.- 9x + 4y = 69x + 5y = -33