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Katena32 [7]
2 years ago
10

-2x-9y=-25 and -4x-9y=-23 solve by elimination

Mathematics
1 answer:
MakcuM [25]2 years ago
7 0

<em>First let's take our two given equations</em>

-2x-9y=-25

-4x-9y=-23

<em>Now we need to cancel out either </em><em>x</em><em> or </em><em>y </em><em>by making them the same values, but opposite on being negative or positive</em>

<em>We do this by multiplying the entire equation by a number </em>

-1(-4x-9y=-23)=<u>4x+9y=23</u>

<em>Now we have a new equation </em>

-2x-9y=-25

4x+9y=23

<em>Combine the two equations and your y will cancel out</em>

<em>2x=-2</em>

<em>Now we need to find </em><em>x</em><em> </em>

<em>2x=-2</em>

<em>Divide by 2 on each side </em>

<em>x=-1</em>

<em>Now we need to plugin our </em><em>x</em><em> to find the </em><em>y</em><em> by plugging the x into any of the first given equations</em>

<em>-2(-1)-9y=-25</em>

<em>2-9y=-25</em>

<em>-2        -2</em>

<em>-9y=-27</em>

<em>Divide by -9 on each side</em>

<em>y=3</em>

<em></em>

<em>x=-1, y=3</em>

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The pie chart below illustrates the future plans of 200members of St.Thomas graduating class.
ruslelena [56]

Answer:

<h2>a) approximately 133 graduates</h2><h2>b) approximately 120°</h2>

Step-by-step explanation:

a) the number of graduates planning to continue studying :

= (37 1/2% + 12 1/2% + 16 2/3%) × 200

=\frac{\left( 37\frac{1}{2} +12\frac{1}{2} +16\frac{2}{3} \right)  }{100} \times200

= (37.5 + 12.5 + 16.666666666667)×2

= 133.333333333334

…………………………………

b) the measurement of the angle representing those who plan to work :

= (360× 33 1/2)÷100

= (360× 33.333333333333)÷100

=119.999999999999

8 0
3 years ago
This is an absolute value problem with LETTERS?! Absolute madness (no pun intended)
MAVERICK [17]

Answer:

a

Step-by-step explanation:

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8 0
3 years ago
What is the volume of the triangular prism? A triangular prism. The base of the triangular face is 5.4 centimeters and the heigh
IceJOKER [234]

Answer:

The volume of the triangular prism is <em>51</em><em>.</em><em>84</em><em> </em><em>cm</em><em>^</em><em>3</em>.

Step-by-step explanation:

The formula of the volume of a prism is:

V = Ah

where:

V = Volume of prism

A = Area of uniform cross-section or base of prism

h = Height of prism = 6 cm

We can substitute the information given in the problem into this formula.

To find A, we need to find the area of the triangular base.

A = bh / 2

where:

b = Base of triangle = 5.4 cm

h = Perpendicular height of triangle = 3.2 cm

We can substitute the information given in the problem into this formula.

A = ( 5.4 × 3.2 ) / 2

A = 17.28 / 2

A = 8.64 cm^2

Substitute the value of A into the original volume of a prism formula with the other information given in the problem.

V = Ah

V = ( 8.64 ) ( 6 )

V = 51.84 cm^3

7 0
4 years ago
Write all your answers as a fraction.<br> 1. 8/3 - 8/5/
allsm [11]

Answer:

16/15

Step-by-step explanation:

Simplify the following:

8/3 - 8/5

Put 8/3 - 8/5 over the common denominator 15. 8/3 - 8/5 = (5×8)/15 + (3 (-8))/15:

(5×8)/15 + (3 (-8))/15

5×8 = 40:

40/15 + (3 (-8))/15

3 (-8) = -24:

40/15 + (-24)/15

40/15 - 24/15 = (40 - 24)/15:

(40 - 24)/15

| 3 | 10

| 4 | 0

- | 2 | 4

| 1 | 6:

Answer: 16/15

5 0
3 years ago
What is the quotient of –10 and –5? the answer is : 2
Inessa [10]
It’s quotient is the answer you get when you decide two numbers. These are both negative integers so you answer will be positive. Basically it is 10/5 which is 2
4 0
3 years ago
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