Hello there!
6q + 9 ≤ 9
Start by subtracting 9 from both sides
6q + 9 - 9 ≤ 9 - 9
6q ≤ 0
Then divide both sides by 6
6q/6 ≤ 0/6
q ≤ 0
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The second equation
6q + 9 ≥ -9
Start by subtracting 9 from both sides
6q + 9 - 9 ≥ -9 - 9
6q ≥ -18
Divide both sides by 6
6q/6 ≥ -18/6
q ≥ -3
Good luck with your studies!
Answer:
Step-by-step explanation:
The multiples of numbers calculator will find 100 multiples of a positive integer. For example, the multiples of 3 are calculated 3x1, 3x2, 3x3, 3x4, 3x5, etc., which equal 3, 6, 9, 12, 15, etc. You can designate a minimum value to generate multiples greater than a number.
Answer:
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
a. because angle between tangent and chord is equal to the angle(s) in alternate segment.
b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚
c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚
d. 28*2=56˚ because angles at circumference are half angles at centre
Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes
Domain x is number of hours
Range y is distance traveled
speed = 12 miles per hour
time = 45 minutes =
= 0.75 hours
We know distance formula
Distance = speed * time
Distance = 12 * 0.75= 9 miles
Number of hours x is 0 to 0.75 hours
So domain is {
}
Distance is 0 to 9 miles
So range is {
}