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Sedaia [141]
3 years ago
10

The solution to the system of equation below is (−2, −1). 2x − 3y = −1 11x − 9y = −13 When the first equation is multiplied by −

3, the sum of the two equations is equivalent to 5x = −10.
Mathematics
1 answer:
Natali [406]3 years ago
7 0
We are given with two equations 2x − 3y = −1 and <span>11x − 9y = −13. The problem says that when the first equation is multiplied by -3 which results to -6x + 9y = 3, the sum of the resulting equation and the second one is equal to 5x = -10. We verify this: -6x + 11x = 5x while -9 y and 9 y cancels out. 3+-13 equals -10. Hence the total is really 5x = - 10.</span>
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If the circumference of a circle is 24, and the angle measure of an arc is 120°, which is the length of the arc?
kupik [55]
<span>Using radian meansure
theta = (arc length)/radius
---
arc length = radius*theta
----
Your Problem:
120 degrees = 120(pi/180) = (2/3)pi radians

----
circumference = 2pi*r
24 = 2pi*r
r = 12/pi
-------------
arc length = (12/pi)(2/3)pi = 8 units

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3 years ago
Is Retail price the orginal price
Stella [2.4K]
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3 years ago
The volume of a sphere is 36 cubic inches. What is the radius of the sphere?
Serjik [45]

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

\sqrt[3]{27 \div \pi}

r= 2.048in

round off to 2.05in

<u>PROOF</u>

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= <u>2.05 inches</u>

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Step-by-step explanation:

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