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2 years ago

If you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?

Mathematics

1 answer:

VashaNatasha [74]2 years ago

7 0

Answer: B. x, in the second equation

Step-by-step explanation:

The given system :

$2x+6y=9...................(1)\\\\3x-12y=15.........................(2)$

To apply the substitution method , first we need to select the best variable and a equation which is easy to simplify.

From the given system equation (2) have all the numbers which are multiples of 3.

Then we divide 3 on both sides of equation (2), we get

$x-4y=5\\\\\Rightarrow\ x=4y+5$

Therefore, the best variable to solve for and from what equation is x, in the second equation.

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Can someone please help me!!

Vladimir [108]

Answer:

#18) m∠B = 107°

#19) m∠B = 17°

Step-by-step explanation:

*Supplementary angles are angles who's measures equal 180°

*Complementary angles are angles who's measures equal 90°

#18) If ∠A is 73°, then we must subtract 73 from 180.

180 - 73 = 107

This means that m∠B = 107°.

#19) If ∠A is 73°, then we must subtract 73 from 90.

90 - 73 = 17

This means that m∠B = 17°.

8 0

2 years ago

PLEASE HELP Find the length of the missing side.

BabaBlast [244]

Answer:

use Pythagoras theorem

the missing side is base

Step-by-step explanation:

pythagoras theorem

h^2 = p^2 + b^2

73^2 = 48^2 + b^2

5329 = 2304 + b^2

5329 - 2304 = b^2

3025 = b^2

√3025 = b

55 = b

3 0

2 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

2 years ago

Can anybody help me with this

lys-0071 [83]

Answer:

a, y =3/x

x = 0.5 => y = 3/0.5 = 6

x = 1 => y = 3/1 = 3

x = 2 => y = 3/2 = 1.5

x = 3 => y = 3/3 = 1

x = 4 => y = 3/4 = 0.75

y = 3/x passes (0.5, 6) => A is correct

Hope this helps!

6 0

3 years ago

The bryant family reuion and the jordan family reunion both include a visit to the zoo desert archers different amounts for chil

Anna35 [415]

A,C,G statement is correct...

3 0

3 years ago

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