Answer:
The domain would be -3≤x≤2 and the range would be -5≤y≤4
Step-by-step explanation:
The domain is where the x values cover, so since on the graph the points range from having -3 as the x value to 2, x would be anything between or equal to these values.
The domain is where the y values cover, so since on the graph the points range from having -5 as the y value to 4, y would be anything between or equal to these values.
Answer:
Step-by-step explanation:
<u>Step 1: Multiply both sides by -9/2</u>
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Answer:
Answer:
See answers below
Step-by-step explanation:
Given the following ratios. We are to express them in their simplest forms
15:12
= 15/12
= (3*5)/(3*4)
= 3/3 * 5/4
= 5/4
b) 42:1
= 42/1
= 42
Given that 2:x :: 4:6
2/x = 4/6
Cross multiply
4x = 2*6
4x = 12
x = 12/4
x = 3
Hence the value of x is 3
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
Where 
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that 
, then the shortest length of the triangle is:
and 
Since length is a positive variable, the only possible solution is:
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Surface area of a sphere = 4πr²
Surface area of the sphere = 4π(0.8)² = 8.0 ft²
Volume of a sphere = 4/3 πr³
Volume of the sphere = 4/3 π(0.8)³ = 2.1 ft³
Answer: Surface area = 8.0 ft² and volume - 2.1 ft³ (Answer C)
