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Vera_Pavlovna [14]

3 years ago

8

Solve the system of equations and choose the correct ordered pair.

1 answer:

DedPeter [7]3 years ago

8 0

2x + 4y = 14.....multiply by -3
3x + 12y = 51
----------------
-6x - 12y = - 42 (result of multiplying by -3)
3x + 12y = 51
----------------add
-3x = 9
x = -9/3
x = -3

2x + 4y = 14
2(-3) + 4y = 14
-6 + 4y = 14
4y = 14 + 6
4y = 20
y = 20/4
y = 5

solution is (-3,5)

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If angle PQR and angle RQS form a linear pair and angle PQR =5x+5 and angle RQS =11x-65 then angle PQR=?

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Step-by-step explanation:

<u>Points to remember</u>

Sum angles in a linear pair is 180

<u>To find the value of x</u>

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JulsSmile [24]

$\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}$

<h3>Volume of cylinder B is greater.</h3>

<h2>For Cylinder A :-</h2>

$\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}$

$\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}$

$\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}$

Substitute the values and simplify it

$\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}$

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$\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}$

$\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}$

$\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}$

Substitute the values and simplify it.

$\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}$

$\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}$

<h3>By actual calculation of volumes of both the cylinders, it is verified that the volumes of cylinder B is greater.</h3>

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