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denis23 [38]
2 years ago
7

A variable needs to be eliminated to solve the system of equations below.

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
8 0

Answer:

The variable that needs to be eliminated in these systems of equations are 3x

Step-by-step explanation:

-3x + 4y = -50

3x + 3y = -6

*solve from top to bottom, if that makes sense, so add 3x to -3x, 4y to 3y, and -50 to -6.*

0 + 7y = -56

7y = -56

*divide by 7 to get y alone*

y = -8

plug y into one of the original equations to get x

-3x + 4y = -50

-3x + 4(-8) = -50

-3x - 32 = -50

     +32    +32

-3x = -18

x = 6

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5.
irina [24]

Answer:

160 m²

384 m²

Step-by-step explanation:

The area of a trapezium is given by :

A = 1/2(a + b)h

h = height ; a and b = lengths

From the diagram :

A = 1/2(12 + 20)10

A = 1/2(32)10

A = 16 * 10

A = 160 m²

2.)

Area of parallelogram = base * height

Base = 24 ; h = 16

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7 0
2 years ago
What is the equation in point-slope form of a line that passes through the points (-4, -1) and (5, 7)?
Setler [38]

Answer:

y + 1 = 8/9(x +4)

Step-by-step explanation:

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Using (-4, -1)

y-(-1) = 8/9[x- (-4)]

y + 1 = 8/9(x +4)

6 0
3 years ago
Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x
masya89 [10]

Answer:

Explanation:

Use the Pythagorean theorem (

a

2

+

b

2

=

c

2

)

Lets label the right triangle such that:

a

=

12

b

=

16

c

=

x

Thus,

12

2

+

16

2

=

x

2

144

+

256

=

x

2

400

=

x

2

√

400

=

x

20

=

x

So our missing side,

c

is

20

We can now say that the sides of our triangle are

12

,

16

,

20

I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).

Step-by-step explanation:

Hope it helpful

3 0
2 years ago
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Step-by-step explanation:

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0.25

Step-by-step explanation:

5 0
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